A Gentle Introduction to Lattice Field Theory [PDF]
EntropyThe principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
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A new computational approach to lattice quantum field theories [PDF]
Proceedings of The XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008), 2008 15 pages, 6 figures; Plenary talk presented at the XXVI International Symposium on Lattice Field Theory, July 14 - 19, 2008, Williamsburg, Virginia ...
Shailesh Chandrasekharan
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Field Theory of Quantum Antiferromagnets : From the Triangular to the Kagome Lattice [PDF]
International Journal of Modern Physics B, 1996 We analyse a family of models, that interpolates between the Triangular lattice antiferromagnet (TLAF) and the Kagome lattice antiferromagnet (KLAF). We identify the field theories governing the low energy, long wavelength physics of these models. Near the TLAF the low energy field theory is a nonlinear sigma model of a SO(3) group valued field.
D. Shubashree, Ravi Shankar
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Quantum field theory on a growing lattice [PDF]
Journal of High Energy Physics, 2004 We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time. To obtain a well-defined theory certain restrictions must be imposed on the lattice.
Brendan Foster, Ted Jacobson
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Nonperturbative Quantum Field Theory on the Lattice
, 1996 These lectures provide an introduction to lattice methods for nonperturbative studies of quantum field theories, with an emphasis on Quantum Chromodynamics. Lecture 1 (Ch. 2): gauge field basics Lecture 2 (Ch. 3): Abelian duality with a lattice regulator (Ch. 4): simple lattice intuition Lecture 3 (Ch.
Thomas DeGrand
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Deligne categories in lattice models and quantum field theory, or making sense of O(N) symmetry with non-integer N [PDF]
Journal of High Energy Physics, 2020 When studying quantum field theories and lattice models, it is often useful to analytically continue the number of field or spin components from an integer to a real number.
Damon J. Binder, Slava Rychkov
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Hubbard model on the honeycomb lattice: From static and dynamical mean-field theories to lattice quantum Monte Carlo simulations [PDF]
Physical review B, 2020 We study the one-band Hubbard model on the honeycomb lattice using a combination of quantum Monte Carlo (QMC) simulations and static as well as dynamical mean-field theory (DMFT).
Marcin Raczkowski +6 more
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Field theory of Skyrme lattices in quantum Hall ferromagnets [PDF]
Physical Review B, 1998 17 ...
Ramin Abolfath, Mohammad Reza Ejtehadi
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Beyond Quantum Field Theory: Chaotic Lattices?
, 2003 Invited talk given at the Idea Finding Symposium for the Frankfurt Institute for Advanced Study (FIAS), April 14-17, 2003, Frankfurt am Main, Germany. (LateX 10 pages, 3 postscript figures.)
S.G. Matinyan
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Reproducibility and Open Science in Lattice Quantum Field Theory [PDF]
Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024)18 pages, 1 figure. Proceedings of the 41st International Symposium on Lattice Field Theory (Lattice 2024), July 28th - August 3rd, 2024, University of Liverpool ...
Ed Bennett +4 more
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