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An introduction to lattice gauge theory and spin systems
Abstract
This article is an interdisciplinary review of lattice gauge theory and spin systems. It discusses the fundamentals, both physics and formalism, of these related subjects. Spin systems are models of magnetism and phase transitions. Lattice gauge theories are cutoff formulations of gauge theories of strongly interacting particles. Statistical mechanics and field theory are closely related subjects, and the connections between them are developed here by using the transfer matrix. Phase diagrams and critical points of continuous transitions are stressed as the keys to understanding the character and continuum limits of lattice theories. Concepts such as duality, kink condensation, and the existence of a local, relativistic field theory at a critical point of a lattice theory are illustrated in a thorough discussion of the two-dimensional Ising model. Theories with exact local (gauge) symmetries are introduced following Wegner's Ising lattice gauge theory. Its gauge-invariant "loop" correlation function is discussed in detail. Three---dimensional Ising gauge theory is studied thoroughly. The renormalization group of the two dimensional planar model is presented as an illustration of a phase transition driven by the condensation of topological excitations. Parallels are drawn to Abelian lattice gauge theory in four dimensions. Non-Abelian gauge theories are introduced and the possibility of quark confinement is discussed. Asymptotic freedom of O(n) Heisenberg spin systems in two d…
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“The lattice Hamiltonian of Eq. ( 1) can be written in the reciprocal space as”
From Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions (2025) · cites this paper as [6]
In the citing paper
“As of now, non-Abelian lattice gauge fields have been realized experimentally using cold atoms [4,5] and electric circuits [6].”
From Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions (2025) · cites this paper as [6]
Citations
Cites
Ordering, metastability and phase transitions in two-dimensional systems
Kosterlitz, J. M., & Thouless, D. J. (1973) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/6/7/010 · Cited by 9,639
Mermin, N. D., & Wagner, H. (1966) · Physical Review Letters · doi:10.1103/physrevlett.17.1133 · Cited by 8,363
The renormalization group and the ε expansion
Wilson, K. G. (1974) · Physics Reports · doi:10.1016/0370-1573(74)90023-4 · Cited by 5,191
Ultraviolet Behavior of Non-Abelian Gauge Theories
Gross, D. J., & Wilczek, F. A. (1973) · Physical Review Letters · doi:10.1103/physrevlett.30.1343 · Cited by 4,353
Space-Time Approach to Non-Relativistic Quantum Mechanics
Feynman, R. P. (1948) · Reviews of Modern Physics · doi:10.1103/revmodphys.20.367 · Cited by 4,239
Reliable Perturbative Results for Strong Interactions?
Politzer, H. D. (1973) · Physical Review Letters · doi:10.1103/physrevlett.30.1346 · Cited by 4,148
Introduction to Phase Transitions and Critical Phenomena
Stanley, H. E., & Wong, V. K. (1972) · American Journal of Physics · doi:10.1119/1.1986710 · Cited by 4,108
Introduction to Phase Transitions and Critical Phenomena
Stanley, E., & Ahlers, G. (1973) · Physics Today · doi:10.1063/1.3127900 · Cited by 3,690
The critical properties of the two-dimensional xy model
Kosterlitz, J. M. (1974) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/7/6/005 · Cited by 2,889
�ber das Paulische �quivalenzverbot
Jordan, P., & Wigner, E. (1928) · Zeitschrift f�r Physik · doi:10.1007/bf01331938 · Cited by 2,597
Research works printed but not linked: 16
- Abers, E. S., 1973, Phys. Rev. C, 9, 1
- Baym, G., 1969, Lectures in Quantum Mechanics
- Elitzur, S., 1979, IAS preprint
- Fradkin, E., 1979, SLAC preprint
- Hamer, C. J., 1979, IAS preprint
- Kadanoff, L. P., 1976, Phase Transitions and Critical Phenomena
- Messiah, A., 1958, Quantum Mechanics
- Migdal, A. A., 1975, Zh. Eksp. Teor. Fiz., 69, 810
- Migdal, A. A., 1975, Zh. Eksp. Teor. Fiz., 69, 1457
- Polyakov, A. M., 1979, Phys. Lett. B
- Symanzik, K., 1970, Commun. Math. Phys., 49, 424
- 't Hooft, G., 1972, the Marseilles Conference on Gauge Theories
- Villain, J., 1975, J. Phys. C, 36, 581
- Wilson, K. G., 1974, Phys. Rev. D, 14, 2455
- Wortis, M., 1974, Phase Transitions and Critical Phenomena
- Yang, C. N., 1954, Phys. Rev., 96, 1605
Cited by
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Items 501–600 of 1,001
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Lin, C.-H., & Levin, M. (2015) · Physical Review B · doi:10.1103/physrevb.92.035115 · Cited by 36
Emergence of Artificial Photons in an Optical Lattice
Tewari, S., Scarola, V. W., Senthil, T., & Sarma, S. D. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.200401 · Cited by 40
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Einstein, T. L. (1996) · Handbook of surface science · doi:10.1016/s1573-4331(96)80016-3 · Cited by 36
Tensor network simulation of an SU(3) lattice gauge theory in 1D
Silvi, P., Sauer, Y., Tschirsich, F., & Montangero, S. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.074512 · Cited by 36
Superconductive solutions for a two-band Hamiltonian
Chakraverty, B. K. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.4047 · Cited by 36
A simple plausible path from QCD to successful prediction of e+e− → hadronization data
Chun, S. B., & Buchanan, C. D. (1998) · Physics Reports · doi:10.1016/s0370-1573(97)00047-1 · Cited by 36
The quantum transition of the two-dimensional Ising spin glass
Bernaschi, M., González-Adalid Pemartín, I., Martín-Mayor, V., & Parisi, G. (2024) · Nature · doi:10.1038/s41586-024-07647-y · Cited by 35
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Cataldi, G., Magnifico, G., Silvi, P., & Montangero, S. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.033057 · Cited by 35
Emergent U(1) lattice gauge theory in Rydberg atom arrays
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ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
Magnifico, G., Vodola, D., Ercolessi, E., Kumar, S. P., Müller, M., & Bermúdez, A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.100.115152 · Cited by 35
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Lu, Y.-M., Cho, G. Y., & Vishwanath, A. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.205150 · Cited by 35
Matrix product representation of gauge invariant states in a Bbb Z2lattice gauge theory
Sugihara, T. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/07/022 · Cited by 35
Experimental Implementation of Adiabatic Passage between Different Topological Orders
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Jain, K., & Krug, J. (2007) · Biological and medical physics series · doi:10.1007/978-3-540-35306-5_14 · Cited by 35
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James, A. J. A., Goetze, W. D., & Eßler, F. H. L. (2009) · Physical Review B · doi:10.1103/physrevb.79.214408 · Cited by 35
Butera, P., & Comi, M. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.50.3052 · Cited by 35
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Lu, D.-C., Sun, Z., & You, Y. (2024) · SciPost Physics · doi:10.21468/scipostphys.17.5.136 · Cited by 34
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Chatterjee, S. (2019) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-030-15338-0_1 · Cited by 34
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Chamon, C., Green, D., & Yang, Z.-C. (2020) · Physical Review Letters · doi:10.1103/physrevlett.125.067203 · Cited by 34
Dynamics and correlations at a quantum phase transition beyond Kibble-Zurek
Roychowdhury, K., Moessner, R., & Das, A. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.014406 · Cited by 34
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Myerson-Jain, N. E., Yan, S., Weld, D., & Xu, C. (2022) · Physical Review Letters · doi:10.1103/physrevlett.128.017601 · Cited by 37
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Henley, C. L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.047201 · Cited by 34
Hamiltonian formulation of the spherical model ind=r+1 dimensions
Henkel, M., & Hoeger, C. (1984) · The European Physical Journal B · doi:10.1007/bf01307503 · Cited by 34
Momentum-independent reflectionless transmission in the non-Hermitian time-reversal symmetric system
Zhang, X. Z., & Song, Z. (2013) · Annals of Physics · doi:10.1016/j.aop.2013.08.012 · Cited by 34
Surface magnetization and critical behavior of aperiodic Ising quantum chains
Turban, L., Iglói, F., & Berche, B. (1994) · Physical review. B, Condensed matter · doi:10.1103/physrevb.49.12695 · Cited by 34
Exact renormalization-group study of aperiodic Ising quantum chains and directed walks
Iglói, F., Turban, L., Karevski, D., & Szalma, F. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.11031 · Cited by 34
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Fischer, K. H. (1993) · Physica C Superconductivity · doi:10.1016/0921-4534(93)90023-j · Cited by 34
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Solomon, S. (1981) · Physics Letters B · doi:10.1016/0370-2693(81)90612-2 · Cited by 34
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Radicevic, D. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1910.06336 · Cited by 34
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Nahum, A., & Chalker, J. T. (2012) · Physical Review E · doi:10.1103/physreve.85.031141 · Cited by 33
Liu, K., Nissinen, J., Slager, R.-J., Wu, K., & Zaanen, J. (2016) · Physical Review X · doi:10.1103/physrevx.6.041025 · Cited by 33
Yanagisawa, T. (2016) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.85.114707 · Cited by 33
Wen, X.-G. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.205142 · Cited by 33
Fu, J., Knolle, J., & Perkins, N. B. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.115142 · Cited by 33
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González-Cuadra, D., Tagliacozzo, L., Lewenstein, M., & Bermúdez, A. (2020) · Physical Review X · doi:10.1103/physrevx.10.041007 · Cited by 33
Variational Monte Carlo simulation with tensor networks of a pure Z3 gauge theory in (2+1)D
Emonts, P., Bañuls, M. C., Cirac, J. I., & Zohar, E. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.074501 · Cited by 33
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Lumia, L., Torta, P., Mbeng, G. B., Santoro, G. E., Ercolessi, E., Burrello, M., & Wauters, M. M. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.020320 · Cited by 36
Pardo, G., Greenberg, T., Fortinsky, A., Katz, N. Y., & Zohar, E. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023077 · Cited by 45
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Bohr, T. (1982) · Physical review. B, Condensed matter · doi:10.1103/physrevb.25.6981 · Cited by 33
Common Trends in the Critical Behavior of the Ising and Directed Walk Models
Iglói, F., & Turban, L. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1206 · Cited by 33
Geometric methods in classical field theory
Madore, J. (1981) · Physics Reports · doi:10.1016/0370-1573(81)90155-1 · Cited by 33
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Self-citationPotential in lattice U(1) gauge theory
DeGrand, T., & Toussaint, D. (1981) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.24.466 · Cited by 32
How well do Monte Carlo simulations distinguish between U(1) and SU(2)?
Caldi, D. G. (1983) · Nuclear Physics B · doi:10.1016/0550-3213(83)90133-5 · Cited by 32
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Münster, G., & Peter Weisz, B. (1980) · Physics Letters B · doi:10.1016/0370-2693(80)90225-7 · Cited by 32
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Nitta, M., Eto, M., Fujimori, T., & Ohashi, K. (2012) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.81.084711 · Cited by 31
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Shankar, R. (1981) · Physical Review Letters · doi:10.1103/physrevlett.46.379 · Cited by 31
Iwasaki, Y., & Yoshié, T. (1983) · Physics Letters B · doi:10.1016/0370-2693(83)91267-4 · Cited by 31
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Universality classes for line-depinning transitions
Kolomeisky, E. B., & Straley, J. P. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.46.12664 · Cited by 30
Quevedo, F. (1998) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(97)00517-3 · Cited by 30
Self-avoiding walks with writhe
Moroz, J. D., & Kamien, R. D. (1997) · Nuclear Physics B · doi:10.1016/s0550-3213(97)00601-9 · Cited by 30
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Gustafson, E., Dreher, P., Hang, Z., & Meurice, Y. (2021) · Quantum Science and Technology · doi:10.1088/2058-9565/ac1dff · Cited by 30
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Subir Sachdev, A., Berg, E., Chatterjee, S., & Schattner, Y. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.115147 · Cited by 29
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Symmetry breaking and the geometry of reduced density matrices
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Altaĭsky, M. V., & Kaputkina, N. E. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.025015 · Cited by 29
Rapini, M., Dias, R. A., & Costa, B. V. (2007) · Physical Review B · doi:10.1103/physrevb.75.014425 · Cited by 29
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Bronzan, J. B. (1985) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.31.2020 · Cited by 29
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Domany, E., Mukamel, D., & Schwimmer, A. (1980) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/13/9/007 · Cited by 29
Finite size scaling and universality in the (2+1)D Ising model
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Falcioni, M., Marinari, E., Paciello, M. L., Giorgio Parisi, A., & Taglienti, B. (1981) · Nuclear Physics B · doi:10.1016/0550-3213(81)90051-1 · Cited by 29
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Lang, C. B., Salomonson, P., & Skagerstam, B.-S. (1981) · Physics Letters B · doi:10.1016/0370-2693(81)90279-3 · Cited by 29
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Lourenço, O., Dutra, M., Delfino, A., & Malheiro, M. M. (2011) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.84.125034 · Cited by 28
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Scopa, S., Calabrese, P., & Bastianello, A. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.125413 · Cited by 28
Kibble–Zurek scaling and string-net coarsening in topologically ordered systems
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Rath, S. P., Simeth, W., Endres, M., & Zwerger, W. (2013) · Annals of Physics · doi:10.1016/j.aop.2013.04.006 · Cited by 28
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Xavier, J. C., & Alcaraz, F. C. (2011) · Physical Review B · doi:10.1103/physrevb.84.094410 · Cited by 28
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Hastings, M. B., Watson, G. H., & Melko, R. G. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.070501 · Cited by 28
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Mathur, M., & Sreeraj, T. P. (2016) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.94.085029 · Cited by 28
Baryonic loops and confinement in the three quark channel
Rainer Sommer, A., & Wosiek, J. (1984) · Physics Letters B · doi:10.1016/0370-2693(84)90374-5 · Cited by 28
Semiclassical statistical mechanics of fluids
Singh, Y. (1981) · Physics Reports · doi:10.1016/0370-1573(81)90143-5 · Cited by 28
Gradient critical phenomena in the Ising quantum chain
Platini, T., Karevski, D., & Turban, L. (2007) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/40/7/004 · Cited by 28
Phase transitions in layered superconductors
Horovitz, B. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.12632 · Cited by 28
Topology of 2D lattice gauge fields
Panagiotakopoulos, C. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90250-0 · Cited by 28
Finite-size scaling corrections in two-dimensional Ising and Potts ferromagnets
de Queiroz, S. L. A. (2000) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/33/4/306 · Cited by 28
The quantum Ising chain with a generalized defect
Grimm, U. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90462-m · Cited by 28
Metadata
- Authors
- Kogut, J. B.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Corresponding author
- Kogut, John B.
- ORCID
- Kogut, John B.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1979-10-01
- Volume
- 51
- Issue
- 4
- Pages
- 659-713
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W2125986857
- Cited by
- 2,029
- References
- 49
- Citations by year
- 2026: 65 · 2025: 116 · 2024: 102 · 2023: 92 · 2022: 95 · 2021: 76 · 2020: 79 · 2019: 94 · 2018: 55 · 2017: 59 · 2016: 50 · 2015: 42 · 2014: 36 · 2013: 55 · 2012: 36
- FWCI
- 39.29
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Reviews of Modern Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- lattice gauge theory, spin systems, Ising model, transfer matrix, phase transitions, critical phenomena, duality, planar model, renormalization group, topological excitations, Abelian lattice gauge theory, Yang-Mills theory, quark confinement, asymptotic freedom
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 ›
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