Nambu--Jona-Lasinio terms in Hamiltonian lattice gauge theory

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

DOI:https://doi.org/10.1103/PhysRevD.41.2591· OSTI ID:6746623

Burden, C J ^[1]

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1. Department of Theoretical Physics, Research School of Physical Sciences, The Australian National University, Box 4 G.P.O. Canberra, Australian Capital Territory 2601 (Australia)

The form of various Nambu--Jona-Lasinio terms in Hamiltonian lattice gauge theory is studied. The complete set of four-fermion interactions which recover full chiral invariance in their naive continuum limit are determined for staggered lattice fermions in 2+1 and 3+1 dimensions. We find that the standard four-fermion interaction traditionally used in lattice calculations does not belong to this set.

• OSTI ID: 6746623
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FOUR-BODY PROBLEM
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GOLDSTONE BOSONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SYMMETRY
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
U-2 GROUPS