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HandWiki. Lattice Gauge Theory. Encyclopedia. Available online: https://encyclopedia.pub/entry/36471 (accessed on 03 October 2026).
HandWiki. Lattice Gauge Theory. Encyclopedia. Available at: https://encyclopedia.pub/entry/36471. Accessed October 03, 2026.
HandWiki. "Lattice Gauge Theory" Encyclopedia, https://encyclopedia.pub/entry/36471 (accessed October 03, 2026).
HandWiki. (2022, November 25). Lattice Gauge Theory. In Encyclopedia. https://encyclopedia.pub/entry/36471
HandWiki. "Lattice Gauge Theory." Encyclopedia. Web. 25 November, 2022.
Lattice Gauge Theory
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The content is sourced from: https://handwiki.org/wiki/Physics:Lattice_gauge_theory

In physics, lattice gauge theory is the study of gauge theories on a spacetime that has been discretized into a lattice. Gauge theories are important in particle physics, and include the prevailing theories of elementary particles: quantum electrodynamics, quantum chromodynamics (QCD) and particle physics' Standard Model. Non-perturbative gauge theory calculations in continuous spacetime formally involve evaluating an infinite-dimensional path integral, which is computationally intractable. By working on a discrete spacetime, the path integral becomes finite-dimensional, and can be evaluated by stochastic simulation techniques such as the Monte Carlo method. When the size of the lattice is taken infinitely large and its sites infinitesimally close to each other, the continuum gauge theory is recovered.

lattice gauge theory stochastic simulation quantum chromodynamics

References

  1. Wilson, K. (1974). "Confinement of quarks". Physical Review D 10 (8): 2445. doi:10.1103/PhysRevD.10.2445. Bibcode: 1974PhRvD..10.2445W.  https://dx.doi.org/10.1103%2FPhysRevD.10.2445
  2. Cardoso, M.; Cardoso, N.; Bicudo, P. (2010-02-03). "Lattice QCD computation of the color fields for the static hybrid quark-gluon-antiquark system, and microscopic study of the Casimir scaling". Physical Review D 81 (3): 034504. doi:10.1103/physrevd.81.034504. ISSN 1550-7998. Bibcode: 2010PhRvD..81c4504C.  https://dx.doi.org/10.1103%2Fphysrevd.81.034504
  3. A. Bazavov (2010). "Nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks". Reviews of Modern Physics 82 (2): 1349–1417. doi:10.1103/RevModPhys.82.1349. Bibcode: 2010RvMP...82.1349B.  https://dx.doi.org/10.1103%2FRevModPhys.82.1349
  4. David J. E. Callaway and Aneesur Rahman (1982). "Microcanonical Ensemble Formulation of Lattice Gauge Theory". Physical Review Letters 49 (9): 613–616. doi:10.1103/PhysRevLett.49.613. Bibcode: 1982PhRvL..49..613C.  https://dx.doi.org/10.1103%2FPhysRevLett.49.613
  5. David J. E. Callaway and Aneesur Rahman (1983). "Lattice gauge theory in the microcanonical ensemble". Physical Review D28 (6): 1506–1514. doi:10.1103/PhysRevD.28.1506. Bibcode: 1983PhRvD..28.1506C. http://cds.cern.ch/record/144746/files/PhysRevD.28.1506.pdf. 
  6. Wilson, Kenneth G. (1975-10-01). "The renormalization group: Critical phenomena and the Kondo problem". Reviews of Modern Physics (American Physical Society (APS)) 47 (4): 773–840. doi:10.1103/revmodphys.47.773. ISSN 0034-6861. Bibcode: 1975RvMP...47..773W.  https://dx.doi.org/10.1103%2Frevmodphys.47.773
  7. D. J. E. Callaway (1988). "Triviality Pursuit: Can Elementary Scalar Particles Exist?". Physics Reports 167 (5): 241–320. doi:10.1016/0370-1573(88)90008-7. Bibcode: 1988PhR...167..241C.  https://dx.doi.org/10.1016%2F0370-1573%2888%2990008-7
  8. F. Wegner, "Duality in Generalized Ising Models and Phase Transitions without Local Order Parameter", J. Math. Phys. 12 (1971) 2259-2272. Reprinted in Claudio Rebbi (ed.), Lattice Gauge Theories and Monte-Carlo-Simulations, World Scientific, Singapore (1983), p. 60-73. Abstract http://www.tphys.uni-heidelberg.de/~wegner/Abstracts.html#12
  9. R. Oeckl; H. Pfeiffer (2001). "The dual of pure non-Abelian lattice gauge theory as a spin foam model". Nuclear Physics B 598 (1–2): 400–426. doi:10.1016/S0550-3213(00)00770-7. Bibcode: 2001NuPhB.598..400O.  https://dx.doi.org/10.1016%2FS0550-3213%2800%2900770-7
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