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

Journal Article · Wed Jul 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.814· OSTI ID:7106680

Luo, X ^[1]; Chen, Q ^[2]

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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)

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.

• OSTI ID: 7106680
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTIFERROMAGNETIC MATERIALS
BOSONS
CHIRAL SYMMETRY
CRYSTAL MODELS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HADRONS
HAMILTONIANS
HEISENBERG MODEL
HIGH-TC SUPERCONDUCTORS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
STRONG-COUPLING MODEL
SU GROUPS
SU-2 GROUPS
SUPERCONDUCTORS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
UNITARITY
VACUUM STATES
VARIATIONAL METHODS