The DOI matches its Crossref record.
Quantum Field Theory
Abstract
This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the quantum theory of scalar and spinor fields, and then of gauge fields, is developed. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of 'topological' objects in field theory and, new to this edition, a chapter devoted to supersymmetry.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“When ξ is positive, this equation is equivalent to the Proca equation [34-36] and m A ≡ ξ 1 / 2 can be interpreted as the rest mass of photons.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
In the citing paper
“This type of electromagnetic field equations can naturally arise from spontaneous symmetry breaking and the Higgs mechanism in quantum field theory, where photons acquire a mass by eating massless Goldstone bosons.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
In the citing paper
“Although ξ can just be a fundamental constant in nature, an effective ξA a term can naturally arise from spontaneous symmetry breaking by the Higgs mechanism if the electromagnetic field is coupled to a complex scalar field [33, 34].”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
In the citing paper
“When ξ is positive, this equation is equivalent to the Proca equation [34-36] and m A ≡ ξ 1 / 2 can be interpreted as the rest mass of photons.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
In the citing paper
“Hence, in this unitary gauge [33, 34], we have φ 2 = 0. That is, the massless Goldstone bosons go away by a gauge transformation.”
From Electrodynamics on cosmological scales (2016) · cites this paper as [34]
Citations
Cited by
Sorted by citations
Items 201–300 of 1,000
Idealizations, essential self-adjointness, and minimal model explanation in the Aharonov–Bohm effect
Shech, E. (2017) · Synthese · doi:10.1007/s11229-017-1428-6 · Cited by 19
General Solutions of Relativistic Wave Equations
Варламов, В. В. (2003) · International Journal of Theoretical Physics · doi:10.1023/a:1024498001488 · Cited by 19
Complex Dynamics and the High-energy Regime of Quantum Field Theory
Goldfain, E. (2005) · International Journal of Nonlinear Sciences and Numerical Simulation · doi:10.1515/ijnsns.2005.6.3.223 · Cited by 20
General relativistic symmetry of electron spin torque
Tachibana, A. (2011) · Journal of Mathematical Chemistry · doi:10.1007/s10910-011-9943-z · Cited by 19
Motavassal, A., & Jafari, S. A. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.l241108 · Cited by 19
Finite-temperature Casimir effect in the presence of nonlinear dielectrics
Kheirandish, F., Amooghorban, E., & Soltani, M. (2011) · Physical Review A · doi:10.1103/physreva.83.032507 · Cited by 19
Magnetic dipole-dipole interaction induced by the electromagnetic field
Wang, J., Dong, H., & Li, S.-W. (2018) · Physical Review A · doi:10.1103/physreva.97.013819 · Cited by 19
TIME IN RELATIVISTIC AND NONRELATIVISTIC QUANTUM MECHANICS
Nikolić, H. (2009) · International Journal of Quantum Information · doi:10.1142/s021974990900516x · Cited by 21
Quantum Field Theory: From Basics to Modern Topics
Gelis, F. (2019) · HAL · doi:10.1017/9781108691550 · Cited by 1
Bifurcations and pattern formation in particle physics: An introductory study
Goldfain, E. (2008) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/82/11001 · Cited by 19
Renormalization group and the emergence of random fractal topology in quantum field theory
Goldfain, E. (2003) · Chaos Solitons & Fractals · doi:10.1016/s0960-0779(03)00304-7 · Cited by 19
U(1)×SU(2) gauge invariance leading to charge and spin conductivity of Dirac fermions in graphene
Dartora, C. A., & Cabrera, G. G. (2013) · Physical Review B · doi:10.1103/physrevb.87.165416 · Cited by 19
Casimir force in the presence of a medium
Kheirandish, F., Soltani, M., & Sarabadani, J. (2010) · Physical Review A · doi:10.1103/physreva.81.052110 · Cited by 18
Path integral for quantum operations
Tarasov, V. E. (2004) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/37/9/013 · Cited by 18
A Mathematical Theory of the Phase Space Feynman Path Integral of the Functional
Ichinose, W. (2006) · Communications in Mathematical Physics · doi:10.1007/s00220-006-0005-5 · Cited by 18
Jafarizadeh, M. A., & Sufiani, R. (2008) · Physical Review A · doi:10.1103/physreva.77.012105 · Cited by 18
1/N expansion and the correlation energy of nuclear matter in the relativistic σω model
Tanaka, K. H., & Bentz, W. (1992) · Nuclear Physics A · doi:10.1016/0375-9474(92)90167-i · Cited by 18
The connection between Dirac dynamic and parity symmetry
Villalobos, C. H. C., & Rogerio, R. J. B. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/116/60007 · Cited by 17
The Structure of the Density-Potential Mapping. Part II: Including Magnetic Fields
Penz, M., Tellgren, E. I., Csirik, M. A., Ruggenthaler, M., & Laestadius, A. (2023) · ACS Physical Chemistry Au · doi:10.1021/acsphyschemau.3c00006 · Cited by 18
Elko Spinor Fields and Massive Magnetic Like Monopoles
de Oliveira, E. C., Rodrigues, W. A., & Vaz, J. (2014) · International Journal of Theoretical Physics · doi:10.1007/s10773-014-2188-4 · Cited by 17
g-Essence as the cosmic speed-up
Yerzhanov, K. K., Yesmakhanova, K., Tsyba, P., et al. (2012) · Astrophysics and Space Science · doi:10.1007/s10509-012-1104-8 · Cited by 17
Ahluwalia, D. V. (2020) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/131/41001 · Cited by 18
Aguirre, R. M. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.096025 · Cited by 17
Inertial mechanism: Dynamical mass as a source of particle creation
Filatov, A. V., Prozorkevich, A. V., Smolyansky, S. A., & Тонеев, В. Д. (2008) · Physics of Particles and Nuclei · doi:10.1134/s1063779608060026 · Cited by 16
Dartora, C. A., & Cabrera, G. G. (2008) · Physical Review B · doi:10.1103/physrevb.78.012403 · Cited by 17
Longitudinal electromagnetic waves
Khvorostenko, N. P. (1992) · Russian Physics Journal · doi:10.1007/bf00895771 · Cited by 17
Massive fermionic corrections to the heavy quark potential through two loops
Melles, M. (1998) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.58.114004 · Cited by 17
U(3) artificial gauge fields for cold atoms
Hu, Y., Miniatura, C., Wilkowski, D., & Grémaud, B. (2014) · Physical Review A · doi:10.1103/physreva.90.023601 · Cited by 16
Applications of self-consistent field theory in polymer systems
Yang, Y., Qiu, F. X., Tang, P., et al. (2006) · Science China Chemistry · doi:10.1007/s11426-005-0190-7 · Cited by 17
Cuprate diamagnetism in the presence of a pseudogap: Beyond the standard fluctuation formalism
Boyack, R., Chen, Q., Varlamov, A. A., et al. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.064503 · Cited by 17
Chapter 6 Generalized Kohn–Sham Density Functional Theory via Effective Action Formalism
Fernando, G. (2008) · Handbook of Metal Physics · doi:10.1016/s1570-002x(07)00006-7 · Cited by 17
Massive Photons and the Volkov Solution
Pardy, M. (2004) · International Journal of Theoretical Physics · doi:10.1023/b:ijtp.0000028855.71972.a3 · Cited by 17
Canonical quantization of non-anticommutative scalar field theory
Nouicer, K., & Debbabi, M. (2006) · Physics Letters A · doi:10.1016/j.physleta.2006.09.079 · Cited by 17
Interpretations of Quantum Field Theory
Huggett, N., & Weingard, R. (1994) · Philosophy of Science · doi:10.1086/289809 · Cited by 18
The Fine Structure Constant, Vacuum Polarization and the Geometry of e (∞) Space
Naschie, M. S. E. (1999) · Chaos Solitons & Fractals · doi:10.1016/s0960-0779(99)00022-3 · Cited by 17
Relativistic Scalar Gravity: A Laboratory for Numerical RelativityPreprint
Watt, K., & Misner, C. W. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/9910032 · Cited by 17
True energy-momentum tensors are unique. Electrodynamics spin tensor is not zeroPreprint
Khrapko, R. I. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0102084 · Cited by 22
Evans, M. W. (2004) · Foundations of Physics Letters · doi:10.1023/b:fopl.0000013002.08454.c9 · Cited by 17
Ahluwalia, D. V. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1305.7509 · Cited by 17
Non-topological solitons and quasi-solitons
Zhou, S.-Y. (2025) · Reports on Progress in Physics · doi:10.1088/1361-6633/adc69e · Cited by 16
Local scale invariance, Cantorian space–time and unified field theory
Goldfain, E. (2004) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2004.05.020 · Cited by 16
CPT Groups of Higher Spin Fields
Варламов, В. В. (2011) · International Journal of Theoretical Physics · doi:10.1007/s10773-011-1022-5 · Cited by 16
Accioly, A. J., Helayël-Neto, J. A., Barone, F., Barone, F. A., & Gaete, P. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.105029 · Cited by 17
Constraints on mapping the Lounesto’s classes
Rogerio, R. J. B. (2019) · The European Physical Journal C · doi:10.1140/epjc/s10052-019-7461-5 · Cited by 16
Universal semiclassical equations based on the quantum metric for a two-band system
Leblanc, C., Malpuech, G., & Solnyshkov, D. D. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.134312 · Cited by 16
Bekenstein, J. D. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.125005 · Cited by 17
A partial elucidation of the gauge principle
Guay, A. (2008) · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics · doi:10.1016/j.shpsb.2008.01.001 · Cited by 17
Spatio-temporal correlations in models of collective motion ruled by different dynamical laws
Cavagna, A., Conti, D., Giardina, I., et al. (2016) · Physical Biology · doi:10.1088/1478-3975/13/6/065001 · Cited by 16
General Solutions of Relativistic Wave Equations II: Arbitrary Spin Chains
Варламов, В. В. (2007) · International Journal of Theoretical Physics · doi:10.1007/s10773-006-9077-4 · Cited by 15
The Exciton Model for Molecular Materials: Past, Present and Future?
Meskers, S. C. J. (2023) · ChemPhysChem · doi:10.1002/cphc.202300666 · Cited by 15
Introduction to Fisher Information: Its Origin, Uses, and Predictions
Frieden, B. R. (2007) · Springer eBooks · doi:10.1007/978-1-84628-777-0_1 · Cited by 16
Struckmeier, J. (2012) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/40/1/015007 · Cited by 15
Nonrelativistic approach for cosmological scalar field dark matter
Ureña-López, L. A. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.027306 · Cited by 15
Vector Potential Quantization and the Quantum Vacuum
Meis, C. (2014) · Physics Research International · doi:10.1155/2014/187432 · Cited by 15
On the generalized spinor classification: beyond the Lounesto’s classification
Villalobos, C. H. C., Rogerio, R. J. B., Aguirre, A. R., et al. (2020) · The European Physical Journal C · doi:10.1140/epjc/s10052-020-7801-5 · Cited by 15
Different Quantum Field Constructions in the (1/2,0) ⊕ (0,1/2) Representation
Dvoeglazov, V. V. (1997) · Modern Physics Letters A · doi:10.1142/s0217732397002880 · Cited by 15
Classical Behavior of the Dirac Bispinor
Bell, S. B. M., Cullerne, J. P., & Diaz, B. M. (2000) · Foundations of Physics · doi:10.1023/a:1003686924816 · Cited by 15
Sidler, D., Ruggenthaler, M., & Rubio, Á. (2023) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.3c00092 · Cited by 15
Spacetime magnetic hopfions from internal excitations and braiding of skyrmions
Knapman, R., Tausendpfund, T., Díaz, S. A., et al. (2024) · Communications Physics · doi:10.1038/s42005-024-01628-3 · Cited by 14
Kuhlmann, M., & Stöckler, M. (2018) · Springer eBooks · doi:10.1007/978-3-319-78356-7_6 · Cited by 14
Quantizing with a Higher Time Derivative
Sergei, V., Michiaki, G., & Yumibayashi, T. (2012) · InTech eBooks · doi:10.5772/39048 · Cited by 14
Comparative Aspects of Spin-Dependent Interaction Potentials for Spin-1/2 and Spin-1 Matter Fields
Malta, P. C., Ospedal, L. P. R., Veiga, K., & Helayël-Neto, J. A. (2016) · Advances in High Energy Physics · doi:10.1155/2016/2531436 · Cited by 14
Gauge field theory approach to spin transport in a 2D electron gas
Berche, B., Bolivar, N. E., López, A., et al. (2009) · Condensed Matter Physics · doi:10.5488/cmp.12.4.707 · Cited by 14
Dirac equation from the Hamiltonian and the case with a gravitational field
Arminjon, M. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 14
The implications of noninertial motion on covariant quantum spin
Singh, D., & Mobed, N. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/10/002 · Cited by 14
Structure of the confining solutions for SU(3)-Yang–Mills equations and confinement mechanism
Goncharov, Y. P. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.05.001 · Cited by 14
Particle and Antiparticle sectors in DSR1 and -Minkowski space-time
Aloisio, R., Carmona, J. M., Cortes, J. L., Galante, A., Grillo, A. F., & Mendez, F. (2004) · Journal of High Energy Physics · doi:10.1088/1126-6708/2004/05/028 · Cited by 24
Using path integrals to price interest rate derivativesPreprint
Otto, M. (1998) · RePEc: Research Papers in Economics · doi:10.48550/arxiv.cond-mat/9812318 · Cited by 14
What can Physics learn from Continuum Mechanics ?Preprint
Unzicker, A. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0011064 · Cited by 30
The Algebra of Grand Unified TheoriesPreprint
Baez, J. C., & Huerta, J. (2009) · arXiv (Cornell University) · doi:10.48550/arxiv.0904.1556 · Cited by 14
Dephasing of a non-relativistic quantum particle due to a conformally fluctuating spacetimePreprint
Bonifacio, P. M., Wang, C. H.-T., & Mendonca, E. A. J. T. (2009) · Cited by 14
Relativistic wavefunctions on the Poincaré groupPreprint
Varlamov, V. V. (2004) · Cited by 14
Tilt-induced vortical response and mixed anomaly in inhomogeneous Weyl matter
Rostamzadeh, S., Taşdemir, Ş., Sarısaman, M., Jafari, S. A., & Goerbig, M. O. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.075155 · Cited by 14
Vacuum fluctuations in theories with deformed dispersion relations
Arzano, M., Gubitosi, G., Magueijo, J., & Giovanni Amelino-camelia, A. (2015) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.91.125031 · Cited by 13
Rodrigues, W. A., & de Oliveira, E. C. (2004) · International Journal of Modern Physics D · doi:10.1142/s021827180400581x · Cited by 13
Bickhard, M. H. (2003) · Foundations of Science · doi:10.1023/a:1025002218498 · Cited by 13
Einstein-nonlinear Maxwell–Yukawa black hole
Mazharimousavi, S. H., & Halilsoy, M. (2019) · International Journal of Modern Physics D · doi:10.1142/s0218271819501207 · Cited by 13
Renormalization group crossover in the critical dynamics of field theories with mode coupling terms
Cavagna, A., Carlo, L. D., Giardina, I., Grandinetti, L., Grigera, T. S., & Pisegna, G. (2019) · Physical review. E · doi:10.1103/physreve.100.062130 · Cited by 15
A system of n interacting fermions and its unusual n → 0 limit
Balents, L., & Kardar, M. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90069-2 · Cited by 13
Renormalized quasiparticles in antiferromagnetic states of the Hubbard model
Bauer, J., & Hewson, A. C. (2007) · The European Physical Journal B · doi:10.1140/epjb/e2007-00175-6 · Cited by 13
Localizing the angular momentum of linear gravity
Butcher, L. M., Lasenby, A. N., & Hobson, M. (2012) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.86.084012 · Cited by 13
Probability in Relativistic Bohmian Mechanics of Particles and Strings
Nikolić, H. (2008) · Foundations of Physics · doi:10.1007/s10701-008-9241-1 · Cited by 13
Objective Functions for Bayesian Control-Theoretic Sensor Management, II: MНC-Like Approximation
Mahler, R. (2004) · Cooperative systems · doi:10.1007/978-1-4613-0219-3_16 · Cited by 13
On the Quantum Equivalence Principle
Heßling, H. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90656-4 · Cited by 13
Derivation of the fine structure constant using fractional dynamics
Goldfain, E. (2003) · Chaos Solitons & Fractals · doi:10.1016/s0960-0779(03)00004-3 · Cited by 13
Possible Measurable Effects of Dark Energy in Rotating Superconductors
de Matos, C. J., & Beck, C. H. (2007) · Cited by 13
Classical relativistic theory of the longitudinal ghost fields of electromagnetism
Evans, M. W. (1994) · Foundations of Physics · doi:10.1007/bf02054789 · Cited by 12
Nonlinear integrable systems containing the canonical subsystems of distinct physical origins
Vakhnenko, O. O. (2019) · Physics Letters A · doi:10.1016/j.physleta.2019.126081 · Cited by 12
Particles, conformal invariance and criticality in pure and disordered systems
Gesualdo Delfino, A. (2021) · The European Physical Journal B · doi:10.1140/epjb/s10051-021-00076-0 · Cited by 13
Differential Equations and Feynman Integrals
Kotikov, A. V. (2021) · Texts & monographs in symbolic computation/Texts and monographs in symbolic computation · doi:10.1007/978-3-030-80219-6_10 · Cited by 12
Spontaneous breaking of a discrete time-translation symmetry
Smits, J., Stoof, H. T. C., & van der Straten, P. (2021) · Physical Review A · doi:10.1103/physreva.104.023318 · Cited by 12
Quantization of interacting Galilean field theories
Banerjee, K., & Sharma, A. (2022) · Journal of High Energy Physics · doi:10.1007/jhep08(2022)066 · Cited by 12
Milburn, G. J. (2012) · Springer eBooks · doi:10.1007/978-3-642-19409-2_18 · Cited by 12
Nguyen, H. T., Meleshenko, P. A., Dolgikh, A. V., et al. (2011) · The European Physical Journal D · doi:10.1140/epjd/e2011-10726-y · Cited by 12
A Hopf-like equation and perturbation theory for differential delay equations
Losson, J., & Mackey, M. C. (1992) · Journal of Statistical Physics · doi:10.1007/bf01058760 · Cited by 12
Generalized Grassmannian coherent states for pseudo-Hermitiann-level systems
Najarbashi, G., Fasihi, M. A., & Fakhri, H. (2010) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/43/32/325301 · Cited by 12
Esposito, C. (2014) · SpringerBriefs in mathematical physics · doi:10.1007/978-3-319-09290-4 · Cited by 27
Kato, A., & Singleton, D. (2002) · International Journal of Theoretical Physics · doi:10.1023/a:1020192616580 · Cited by 12
Relativistic Quantum Mechanics and Quantum Field Theory
Nikolić, H. (2019) · doi:10.1201/9780429294747-9 · Cited by 12
Eikonal equation of the Lorentz-violating Maxwell theory
Xiao, Z., Shao, L., & Ma, B.-Q. (2010) · The European Physical Journal C · doi:10.1140/epjc/s10052-010-1502-4 · Cited by 12
Metadata
- Authors
- Ryder, L. H.
- Affiliations
- University of Kent (GB)
- Corresponding author
- Ryder, Lewis H.
- ORCID
- Ryder, Lewis H.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1996-06-06
- OpenAlex
- W3143815958
- Cited by
- 1,281
- References
- 0
- Citations by year
- 2026: 14 · 2025: 42 · 2024: 22 · 2023: 33 · 2022: 26 · 2021: 39 · 2020: 73 · 2019: 64 · 2018: 34 · 2017: 38 · 2016: 41 · 2015: 36 · 2014: 38 · 2013: 38 · 2012: 58
- FWCI
- 14.21
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Keywords
- quantum field theory, particle physics, relativistic wave equations, Lagrangian method, scalar field, spinor fields, gauge fields, functional methods, topological objects, supersymmetry
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
