3-LOOP BETA-FUNCTION(S) AND EFFECTIVE POTENTIAL IN THE GROSS-NEVEU MODEL

被引：52

作者：

LUPERINI, C

ROSSI, P

机构：

[1] UNIV PISA, DIPARTIMENTO FIS, I-56126 PISA, ITALY

[2] IST NAZL FIS NUCL, PISA, ITALY

来源：

ANNALS OF PHYSICS | 1991年 / 212卷 / 02期

关键词：

D O I：

10.1016/0003-4916(91)90120-W

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the perturbative analysis of the two-dimensional Gross-Neveu model by cimputing within the MS scheme the three-loop renormalization functions β,γ, and γm in a two-parameter version of the model appropriate to the discussion of the RG properties of the effective potential, whose perturbative expansion is performed to the same order. © 1991.

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页码：371 / 401

页数：31

相关论文

共 13 条

[1] METRIC AND CENTRAL CHARGE IN THE PERTURBATIVE APPROACH TO 2-DIMENSIONAL FERMIONIC MODELS [J].

BONDI, A ;

CURCI, G ;

PAFFUTI, G ;

ROSSI, P .

ANNALS OF PHYSICS, 1990, 199 (02) :268-339

[2] SEMICLASSICAL BOUND-STATES IN AN ASYMPTOTICALLY FREE THEORY [J].

DASHEN, RF ;

HASSLACHER, B ;

NEVEU, A .

PHYSICAL REVIEW D, 1975, 12 (08) :2443-2458

[3] ASYMPTOTIC SCALE INVARIANCE IN A MASSIVE THIRRING MODEL [J].

GOMES, M ;

LOWENSTEIN, JH .

NUCLEAR PHYSICS B, 1972, B 45 (01) :252-+

[4] CALCULATION OF EXPONENT ETA TO 0(1/N2) IN THE 0(N) GROSS NEVEU MODEL [J].

GRACEY, JA .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (03) :395-407

[5] 3-LOOP CALCULATIONS IN THE O(N) GROSS-NEVEU MODEL [J].

GRACEY, JA .

NUCLEAR PHYSICS B, 1990, 341 (02) :403-418

[6] BOSON FORMULATION OF FERMION FIELD-THEORIES [J].

HA, YK .

PHYSICAL REVIEW D, 1984, 29 (08) :1744-1756

[7] 3-LOOP CALCULATIONS IN 2-DIMENSIONAL NONLINEAR SIGMA-MODEL [J].

HIKAMI, S ;

BREZIN, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (06) :1141-1150

[8] FUNCTIONAL EVALUATION OF EFFECTIVE POTENTIAL [J].

JACKIW, R .

PHYSICAL REVIEW D, 1974, 9 (06) :1686-1701

[9] HIGHER ORDERS IN N-1 IN GROSS-NEVEU MODEL [J].

SCHONFELD, JF .

NUCLEAR PHYSICS B, 1975, 95 (01) :148-172

[10] 2-LOOP BETA-FUNCTION FOR THE GROSS-NEVEU MODEL [J].

WETZEL, W .

PHYSICS LETTERS B, 1985, 153 (4-5) :297-299