Chiral-symmetry breaking in the Schwinger model with Wilson fermions

Journal Article · Wed Aug 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.1293· OSTI ID:6505683

Chen, Q; Luo, X ^[1]

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1. Department of Physics, Zhongshan University, Guangzhou (People's Republic of China)

We develop a new analytic approach to the Schwinger model in the Hamiltonian lattice gauge theory with Wilson fermions. The vacuum structure is examined by means of a unitary transformation and the variational method. The chiral order parameter {l angle}{bar {psi}}{psi}{r angle} is calculated for any coupling constant. Chiral symmetry is shown to be broken in the massless limit and good scaling behavior is observed. Our result is consistent with the exactly calculable value.

• OSTI ID: 6505683
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHIRAL SYMMETRY
COUPLING CONSTANTS
EIGENVALUES
ELECTRODYNAMICS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MASS SPECTRA
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM NUMBERS
QUANTUM OPERATORS
SCHWINGER VARIATIONAL METHOD
SPECTRA
SPIN
SYMMETRY
SYMMETRY BREAKING
UNITARITY
VACUUM STATES
VARIATIONAL METHODS