A Langevin simulation of the Gross-Neveu spectrum

We study the order parameter of chiral symmetry, and fermion and boson masses in the Gross-Neveu model as a function of the flavour number N and of the Langevin time step ε, in the scaling region. The 1/N dependence of the ϵ =0 value of the order parameter is in excellent agreement with an analytical calculation up to second order. Care is taken of the important two fermion contribution in the bosonic correlation functions. Mass ratios are found to be ϵ dependent, but their ϵ =0 extrapolation is compatible with the analytic expectation.

talk
Gross-Neveu model
symmetry: chiral
fermion: mass
mass: fermion
boson: mass
mass: boson
Langevin equation
lattice field theory
numerical calculations: Monte Carlo

References(11)

Figures(0)

[1]

Dynamical Symmetry Breaking in Asymptotically Free Field Theories

- Phys.Rev.D 10 (1974) 3235
•
DOI:
- 10.1103/PhysRevD.10.3235

[2]

Semiclassical Bound States in an Asymptotically Free Theory

- Phys.Rev.D 12 (1975) 2443
•
DOI:
- 10.1103/PhysRevD.12.2443

[3]

Exact S Matrix of Gross-Neveu Elementary Fermions

- Phys.Lett.B 72 (1978) 481-483
•
DOI:
- 10.1016/0370-2693(78)90738-4

[3]

The S Matrix of the Kinks of the ( $\psi^-$ bar $\psi$ )**2 Model

R. Shankar
(
- Yale U.
)
,
Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 141 (1978) 349,
- Nucl.Phys.B 148 (1979) 538 (erratum),
- Nucl.Phys.B148 (1979) 538.(Nucl.Phys.B141 (1978) 349)
•
DOI:
- 10.1016/0550-3213(78)90031-7

[3]

Some Novel Features of the {Gross-Neveu} Model

R. Shankar
(
- Yale U.
)

- Phys.Lett.B 92 (1980) 333-336
•
DOI:
- 10.1016/0370-2693(80)90277-4

[3]

M. Karowski
,
H.J. Thun

- Nucl.Phys. B190[FS3] (1981) 61

[4]

Y. Cohen
,
S. Elitzur
,
E. Rabinovici

- Nucl.Phys. B220[FS8] (1983) 102

[4]

Continuum Symmetries of Lattice Models With Staggered Fermions

- Nucl.Phys.B 274 (1986) 225,
- BNL Gauge Theor.Symp.1986:245
•
DOI:
- 10.1016/0550-3213(86)90625-5

[4]

SYMMETRIC QUANTUM MODELS FROM NONSYMMETRIC CLASSICAL ACTIONS

T. Jolicoeur
(
- Saclay
)

- Phys.Lett.B 171 (1986) 431-434,
- Phys. Lett. B171 (1986) 431-434 and Saclay Cen - S.PH.T-86-012 (86,REC.JUN.) 12p
•
DOI:
- 10.1016/0370-2693(86)91434-6

[5]

N. Attig
,
R. Lacaze
,
A. Morel
,
B. Petersson
,
M. Wolff

- Nucl.Phys.B Proc.Suppl. 4 (1988) 595

[6]

In preparation

N. Attig
,
L. Belanger
,
R. Lacaze
,
A. Morel
,
B. Petersson

et al.