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Title: Vacuum structure and chiral-symmetry breaking in (2+1)-dimensional lattice gauge theories with fermions

Abstract

We study further the vacuum structure and chiral-symmetry breaking in Hamiltonian lattice gauge theory with fermions. Attention is paid to (2+1)-dimensional systems. For the fermion sector, a unitary transformation and the variational method are employed. The antiferromagnetic nature of the unitarily transformed Hamiltonian and mesons as spin waves are presented at strong coupling, and the relevance for high-{ital T}{sub {ital c}} superconductivity is discussed. The vacuum state of the full theory is assumed to be the combination of the variational fermion vacuum state and the exact ground state of the modified Hamiltonian for pure gauge theory of Guo and co-workers. The existing problems in the modified theory are pointed out as well. The chiral condensates in QED{sub 3} and QCD{sub 3} are calculated and the scaling behavior is observed in the crossover regime.

Authors:
 [1];  [2]
  1. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Institute of High Energy Physics, Academia Sinica, Beijing 10039 (China)
  2. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080 (China) Department of Physics, Zhongshan University, Guangzhou 510275 (China)
Publication Date:
OSTI Identifier:
7106680
Resource Type:
Journal Article
Journal Name:
Physical Review, D (Particles Fields); (United States)
Additional Journal Information:
Journal Volume: 46:2; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; SYMMETRY BREAKING; LATTICE FIELD THEORY; VACUUM STATES; ANTIFERROMAGNETIC MATERIALS; FERMIONS; GAUGE INVARIANCE; HAMILTONIANS; HEISENBERG MODEL; HIGH-TC SUPERCONDUCTORS; MESONS; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; STRONG-COUPLING MODEL; SU-2 GROUPS; THREE-DIMENSIONAL CALCULATIONS; UNITARITY; VARIATIONAL METHODS; BOSONS; CRYSTAL MODELS; ELECTRODYNAMICS; ELEMENTARY PARTICLES; FIELD THEORIES; HADRONS; INVARIANCE PRINCIPLES; LIE GROUPS; MAGNETIC MATERIALS; MATERIALS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SU GROUPS; SUPERCONDUCTORS; SYMMETRY; SYMMETRY GROUPS; 662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-); 662120 - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-)

Citation Formats

Luo, X, and Chen, Q. Vacuum structure and chiral-symmetry breaking in (2+1)-dimensional lattice gauge theories with fermions. United States: N. p., 1992. Web. doi:10.1103/PhysRevD.46.814.
Luo, X, & Chen, Q. Vacuum structure and chiral-symmetry breaking in (2+1)-dimensional lattice gauge theories with fermions. United States. https://doi.org/10.1103/PhysRevD.46.814
Luo, X, and Chen, Q. 1992. "Vacuum structure and chiral-symmetry breaking in (2+1)-dimensional lattice gauge theories with fermions". United States. https://doi.org/10.1103/PhysRevD.46.814.
@article{osti_7106680,
title = {Vacuum structure and chiral-symmetry breaking in (2+1)-dimensional lattice gauge theories with fermions},
author = {Luo, X and Chen, Q},
abstractNote = {We study further the vacuum structure and chiral-symmetry breaking in Hamiltonian lattice gauge theory with fermions. Attention is paid to (2+1)-dimensional systems. For the fermion sector, a unitary transformation and the variational method are employed. The antiferromagnetic nature of the unitarily transformed Hamiltonian and mesons as spin waves are presented at strong coupling, and the relevance for high-{ital T}{sub {ital c}} superconductivity is discussed. The vacuum state of the full theory is assumed to be the combination of the variational fermion vacuum state and the exact ground state of the modified Hamiltonian for pure gauge theory of Guo and co-workers. The existing problems in the modified theory are pointed out as well. The chiral condensates in QED{sub 3} and QCD{sub 3} are calculated and the scaling behavior is observed in the crossover regime.},
doi = {10.1103/PhysRevD.46.814},
url = {https://www.osti.gov/biblio/7106680}, journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 46:2,
place = {United States},
year = {Wed Jul 15 00:00:00 EDT 1992},
month = {Wed Jul 15 00:00:00 EDT 1992}
}