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Chiral Symmetry Breaking in Strongly Coupled 1+1 Dimensional Lattice Gauge Theories

2000/01/12 by F. Berruto, Berruto, F., G. Grignani +4
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.hep-lat/0001012

Latex, crckapb.sty, 8 pages, proceedings of the conference "Lattice Fermions and the Structure of the Vacuum", Dubna, October 1999

arxiv created 2000/01/12 · openalex publication_date 2000/01/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse - within the hamiltonian formalism with staggered fermions - the patterns of chiral symmetry breaking for the strongly coupled Schwinger and U(\cal Nc)-color `t Hooft models with one and two flavor of fermions. Using the correspondence between these strongly coupled gauge models and antiferromagnetic spin chains, we provide a rather intuitive picture of their ground states, elucidate their patterns of chiral symmetry breaking, and compute the pertinent chiral condensates. Our analysis evidences an intriguing relationship between the values of the lattice chiral condensates of the `t Hooft and Schwinger models with one flavor of fermions.

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