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 901–1,000 of 1,000
Dvoeglazov, V. V. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9906083 · Cited by 1
Comparison of the Algorithmic and Axiomatic Approaches to the Construction of Quantum Field TheoryPreprint
Kyriakos, A. G. (2010) · viXra · Cited by 1
Lagrangians for invariant sub-spaces of the squared Pauli-Lubanski vector
Cabral, G. E. M., & Kirchbach, M. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1
Modelling the electric field applied to a tokamakPreprint
Johnson, R. W. (2010) · Cited by 1
Singular Cross Sections in Muon CollidersPreprint
Dams, C., & Kleiss, R. (2002) · Cited by 1
T-Dependent Dyson- Schwinger Equation In IR Regime Of QCD: The Critical PointPreprint
Mitra, A. N., & Hwang, W.-Y. P. (2004) · Cited by 1
Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications
Tran, B. D., & Musielak, Z. E. (n.d.) · RePEc: Research Papers in Economics · Cited by 1
The Higgs mechanism at the graviton level: The Vainshtein mechanism in time-domainsPreprint
Arraut, I. (2015) · arXiv (Cornell University) · Cited by 1
The Electromagnetic Sector of the Evans Field Theory
Evans, M. W. (2005) · Foundations of Physics Letters · doi:10.1007/s10702-005-2468-6 · Cited by 1
Quantization of Yang–Mills Theory
Gelis, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108691550.010 · Cited by 1
Gelis, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108691550.007 · Cited by 1
Comparison of the Algorithmic and Axiomatic Approaches to the Construction of Quantum Field Theory
Kyriakos, A. G. (2010) · Prespacetime journal · Cited by 1
Accioly, A. J., & Mukai, H. (1997) · Americanae (AECID Library) · Cited by 1
Static gravitational equations of general relativity and “the fifth force”
Das, A. (2015) · General Relativity and Gravitation · doi:10.1007/s10714-015-1949-6
Electroweak interactions at LEP
Swain, J. (2001) · AIP conference proceedings · doi:10.1063/1.1374865
Optics, mechanics, and quantization of reparametrization-invariant systems
Navarro, M., Guerrero, J., & Aldaya, V. (1994) · Journal of Mathematical Physics · doi:10.1063/1.530682
Development of the Sachs Theory of Electrodynamics
Anastasovski, P. K., Bearden, T. E., CIUBOTARIU, C., et al. (2001) · Foundations of Physics Letters · doi:10.1023/a:1015522125799
Joy, M., & Kuriakose, V. C. (2003) · Dyuthi Digital Repository (Cochin University of Science and Technology)
GOD DOES NOT PUT SIGNATURE NUNCUPATIVE OR EPISCOPAL: A BRAHMAN AND ANTI BRAHMAN MODEL FOR GOD
Kumar, K. N. P., Kiranagi, B. S., & Bagewadi, C. S. (2012) · Advances in physics theories and applications
Black Holes and Conformal Quantum Gravity
Ilgin, I. (2012) · Utrecht University Repository (Utrecht University)
A Variant and Explanation of the Delayed Choice ExperimentPreprint
Panković, V., & Predojević, M. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0612076
Rescaling Constraints, BRST Methods, and Refined Algebraic Quantisation
Martínez-Pascual, E. (2012) · UPT. Syiah Kuala University Library (Syiah Kuala University)
The symmetry breaking phenomenon in anharmonic oscillator modelPreprint
Mastine, A. C., Natti, P. L., & Natti, É. R. T. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1007.4348
Field Theory, Critical Phenomena and InterfacesPreprint
Münster, G., Grießhammer, H. W., & Lehmann, D. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9610197
Group-Theoretical Determination of the Mixing Angle in the Electroweak Gauge GroupPreprint
Navarro, M., Valverde, V. A., & Molina, M. C. (1996) · arXiv (Cornell University)
Relativistic field-theoretical transport in condensed matter
Vischer, A. P. (1992)
Carrier, D. (1991) · Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields · doi:10.1007/bf02784496
Theory of Antisymmetric Tensor FieldsPreprint
Dvoeglazov, V. V. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0210020
Quantum mechanics not on manifoldPreprint
Bibikov, P. N., & Prokhorov, L. V. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0803.4337
Interaction description from the non-linear electromagnetic theory point of viewPreprint
Kyriakos, A. G. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0412095
Elko Field Theory and the Nature of Elko DarknessPreprint
Gillard, A. B. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1109.4278
Quantum Field Theory, Effective Potentials and Determinants of Elliptic Operators
Paul, P. L. (2010) · University Library - University of Saskatchewan (University of Saskatchewan)
Similarities between neutrinos and Higgs bosons within a chiral supersymmetric formulationPreprint
Gleim, T. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0807.0952
Left-Right Model of Electroweak Interaction with one Bidoublet and one Doublet Higgs FieldsPreprint
Damanik, A. (2009) · arXiv (Cornell University) · doi:10.48550/arxiv.0907.5054
Interacci\'on `Oscilador' de Part\'{\i}culas RelativistasPreprint
Dvoeglazov, V. V. (1996) · arXiv (Cornell University)
A Proposal About the Rest Masses of QuarksPreprint
Xu, J. L. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/0401098
QED for fields obeying a square root operator equationPreprint
Gleim, T. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0704.0425
Spacetime Structures and Physical TheoriesPreprint
Ho, V. B. (1994) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9412243
De Dirac a Maxwell: un camino con el grupo de Lorentz
Dvoeglazov, V. V. (1997)
The Central Charge in 3D Simple SuperalgebraPreprint
Colatto, L. P. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0003089
A prediction of string theory testable at low energiesPreprint
Nikolić, H. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0806.1431
Non-stationary magnetized axially symmetric equilibrium from the fluid equations of motionPreprint
Johnson, R. W. (2009) · arXiv (Cornell University) · doi:10.48550/arxiv.0901.0732
Budiyono, A. (2006) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0609216
Lagrangian quantum field theory in momentum picture. IV. Commutation relations for free fieldsPreprint
Iliev, B. Z. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0704.0066
Parity Transformation in the Front FormPreprint
Sawicki, M., & Ahluwalia, D. V. (1993) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9312092
Lantsman, L. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1008.2866
The motion equation for massive fermions and bosons without HiggsPreprint
Quznetsov, G. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9810461
Johnson, R. W. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0806.4694
Natural Hadronic Degrees of Freedom for an Effective QCD Action in the Front FormPreprint
Ahluwalia, D. V., & Sawicki, M. “. (1992) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9210204
The Dirac Equation RevisitedPreprint
Antonuccio, F. (1994) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9408166
Quarks and gravitationPreprint
Quznetsov, G. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9811507
Helicity Basis for Spin 1/2 and 1, and Discrete Symmetry OperationsPreprint
Dvoeglazov, V. V., & González, J. L. Q. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.math-ph/0411004
Generalized equation of relativistic quantum mechanics in a gauge fieldPreprint
Кецарис, А. А. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9909087
Rotation Eigenvectors and Spin 1/2Preprint
Shurtleff, R. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9903093
Phenomenological model of the weak interactionPreprint
Schunck, F. E. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0809.3592
Panković, V., Predojević, M., Krmar, M., et al. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0504071
How `Complex' is the Dirac Equation?Preprint
Antonuccio, F. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9810093
New type of fields in Maxwells equations: their properties and method of detectionPreprint
Chirkov, A. G., & Ageev, A. N. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0201133
Intrinsic Parity of the $(j,0)\oplus(0,j)$ MesonsPreprint
Ahluwalia, D. V. (1992) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/9211245
The partition function of the unit intervalPreprint
Mendoza, R., & Moraes, F. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9607130
Johnson, R. W. (2008) · arXiv (Cornell University) · doi:10.48550/arxiv.0803.3281
Elementary Particles in a New Quantum SchemePreprint
Sannikov, S. S., Stanislavsky, A. A., & Cabbolet, M. J. T. F. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9903026
Space Rotation TheoryPreprint
Novikov-Borodin, A. V. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0402118
Dvoeglazov, V. V. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/9908043
Electroweak gauge fields, particles, and antiparticles arise from probabilityPreprint
Quznetsov, G. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0502038
Introduction to Classical and Quantum Lagrangian Field Theory
Saxena, R. P. (1989) · Springer eBooks · doi:10.1007/978-94-009-2577-9_9
A search for the minimal unified field theory. I. Parallel transport of Dirac fieldPreprint
Makhlin, A. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/0408221
Non-Fock Representations of Heisenberg AlgebrasPreprint
Sannikov, S. S., & Stanislavsky, A. A. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9808047
A lattice QCD determination of potentials between pairs of static-light mesons
Hetzenegger, M. (2012) · University of Regensburg Publication Server (University of Regensburg) · doi:10.5283/epub.25777
Charge Renormalization in a New Kind of Non-Local Quantum ElectrodynamicsPreprint
Sannikov, S. S., & Stanislavsky, A. A. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/9808035
A search for the minimal unified field theory. II.Spinor matter and gravityPreprint
Makhlin, A. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-ph/0408222
Instanton tunneling and multiphonon giant resonancesPreprint
Обіход, Т., & Radionov, S. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.nucl-th/9801002
Removing the big rip singularity from anisotropic universe in super string theory
Sepehri, A., Pradhan, A., & Amirhashchi, H. (2015) · Canadian Journal of Physics · doi:10.1139/cjp-2014-0651
Possible Physical Manifestation of the Weyl Non-Abelian Gauge FieldPreprint
Barbashov, B. M., & Pestov, A. B. (1999) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9901065
Spacetime and MatterPreprint
McCorkle, R. A. (1996) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9612045
Dynamic quantum theory of large additional dimensions for non-massive particlesPreprint
Andrianov, S. N., & Bochkarev, V. V. (2005) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0501056
Quark confinement mechanism for baryonsPreprint
Goncharov, Y. P. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1312.4049
Electromagnetic interpretation of leptonsPreprint
Kyriakos, A. G. (2002) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0205075
Helicity in Classical Electrodynamics and TurbulencePreprint
Chechkin, A. V., Sorokin, D. P., & Yanovsky, V. (1993) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9306159
A uniformly convergent Series for $\zeta(s)$ and closed Formulas, that include Catalan NumbersPreprint
Betts, R. J. (2010) · arXiv (Cornell University)
Dirac and Majorana ConstructsPreprint
Dvoeglazov, V. V. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.physics/0009021
Gauge invariance and nonconstant gauge couplings
Mohammedi, N. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.84.045011
Nicola, Á. G., Rivers, R. J., & Steer, D. A. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9809080
Spin 1/2 and Invariant Coefficients II. MasslessPreprint
Shurtleff, R. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0408176
The Bargmann-Wigner Formalism for Higher Spins (up to 2)Preprint
Dvoeglazov, V. V. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1011.1696
The Dirac Equation in Binary Geometrophysics
Vladimirоv, Y. S., & Solovjov, A. V. (2000) · Russian Physics Journal · doi:10.1023/a:1011335125985
About gamma^5 Chiral Interactions of Massive Particles in the (1/2,0)+(0,1/2) RepresentationPreprint
Dvoeglazov, V. V. (1998) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9808148
Fields on Paracompact Manifold and AnomaliesPreprint
Grangé, P., & Werner, E. (2003) · arXiv (Cornell University) · doi:10.48550/arxiv.math-ph/0310052
Inflación vectorial en el marco de las teorías de gauge no abelianas
Nieto, C. M., & Rodríguez, Y. (2014) · Revista de la Academia Colombiana de Ciencias Exactas Físicas y Naturales · doi:10.18257/raccefyn.36
INFRA-RED DIVERGENCES IN 2+1 DIMENSIONAL GAUGE THEORIES
Mazumder, Z. (2003) · PEARL (University of Plymouth) · doi:10.24382/1812
C^{1/2}P^{1/2}T^{1/2} Symmetry of the Chaotic Inflation DynamicsPreprint
Panković, V., & Ivanovic, J. (2007) · arXiv (Cornell University) · doi:10.48550/arxiv.0710.4460
Group-Theoretic analysis of the mixing angle in the electroweak gauge group
Aldaya, V., Calixto, M., & Guerrero, J. (1996) · International Journal of Theoretical Physics · doi:10.1007/bf02302421
Experimental observation of the B(3) field: A reply to Raja et alia
Evans, M. W. (1997) · Foundations of Physics Letters · doi:10.1007/bf02764024
TheB (3) field as a link between gravitation and electromagnetism in the vacuum
Evans, M. W. (1996) · Foundations of Physics Letters · doi:10.1007/bf02190050
Chisholm-Caianiello-Fubini Identities for S = 1 Barut-Muzinich-Williams Matrices
Cabral, M. D. G. C., & Dvoeglazov, V. V. (2013) · Advances in Applied Clifford Algebras · doi:10.1007/s00006-013-0421-5
A bosonic model for relativistic spinors
Ebner, D., & Rodríguez‐Romo, S. (1991) · The European Physical Journal C · doi:10.1007/bf01475795
Quantum states with Space-like energy-momentum
Solomon, D. (2006) · Open Physics · doi:10.2478/s11534-006-0014-1
Comparison of Classical and Quantum Theories of Electromagnetism and the Electrostatic Field
Mehler, M. J., & Constantinou, C. (1999) · Electromagnetics · doi:10.1080/02726349908908663
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