A MONTE CARLO STUDY OF THE GROSS-NEVEU MODEL

Cohen, Y.; Elitzur, S.; Rabinovici, E.

doi:10.1016/0550-3213(83)90136-0

A MONTE CARLO STUDY OF THE GROSS-NEVEU MODEL

1983

17 pages

Published in:

Nucl.Phys.B 220 (1983) 102-118

Published: 1983

DOI:

10.1016/0550-3213(83)90136-0

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Abstract: (Elsevier)

Several lattice versions of the Gross-Neveu model are constructed and studied using Monte Carlo methods. The expected shiral structures are confirmed by the numerical results. The correct asymptotic freedom behaviour is recovered with the appropriate number of species taken into account. The models differ in their number of soft modes and their strong coupling behaviour. In some of them, chiral symmetry is restored at a finite coupling. The large- N , finite-temperature transition is also found in good agreement with the theoretical value.

FIELD THEORETICAL MODEL: GROSS-NEVEU
FIELD THEORETICAL MODEL: RENORMALIZABLE
FIELD THEORY: ASYMPTOTIC FREEDOM
SYMMETRY: CHIRAL
LATTICE FIELD THEORY: CRITICAL PHENOMENA
MODEL: STRONG COUPLING
STRONG COUPLING: MODEL
MODEL: WEAK COUPLING
WEAK COUPLING: MODEL
LATTICE FIELD THEORY: CONTINUUM LIMIT

References(14)

Figures(0)

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