Study of the Nambu--Jona-Lasinio model on the lattice

Journal Article · Thu Sep 01 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.3406· OSTI ID:6999599

Bitar, K M; Vranas, P M ^[1]

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1. Supercomputer Computations Research Institute, The Florida State University, Tallahassee, Florida 32306 (United States)

We present our full analysis of the two flavor Nambu--Jona-Lasinio model with SU(2)[times]SU(2) chiral symmetry on the four-dimensional hypercubic lattice with naive and Wilson fermions. We find that this model is an excellent toy field theory to investigate issues related to lattice QCD. We use the large-[ital N] approximation to leading order in 1/[ital N] to obtain nonperturbative analytical results over almost the whole parameter range. By using numerical simulations we estimate that the size of the 1/[ital N] corrections for most of the quantities we consider are small and in this way we strengthen the validity of the leading-order large-[ital N] calculations. We obtain results regarding the approach to the continuum chiral limit, the effects of the zero momentum fermionic modes on finite lattices, and the scalar and pseudoscalar spectrum.

• OSTI ID: 6999599
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:5; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COMPOSITE MODELS
FERMIONS
FIELD THEORIES
FLAVOR MODEL
FOUR-DIMENSIONAL CALCULATIONS
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
SIMULATION
SPECTRA
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS