Chiral-symmetry properties of the Wilson lattice action at strong coupling

Journal Article · Fri Jul 15 04:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.373· OSTI ID:5834358

DiLieto, C

We study the vacuum structure of lattice gauge theories with Wilson fermions in the strong-coupling limit, using the Hamiltonian formalism and an alternating-site mean-field ansatz for the ground state. For all values of the hopping parameter, we find a unique vacuum which is not chirally invariant. This contrasts with the vacuum degeneracy of a theory with a dynamically broken chiral symmetry. Thus the Wilson theory has no chirally invariant critical point at strong coupling. However, for small values of hopping parameter the mean-field vacuum of the Wilson theory coincides with that of the chiral theory with a small-quark-mass term added.

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5834358
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645303* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKS
STRONG-COUPLING MODEL
SYMMETRY
SYMMETRY BREAKING
WILSON LOOP