THE 1/N EXPANSION IN THE GROSS-NEVEU MODEL - CONFORMAL BOOTSTRAP CALCULATION OF THE INDEX-ZETA IN ORDER 1/N(3)

被引:86
作者
VASILEV, AN
DERKACHEV, SE
KIVEL, NA
STEPANENKO, AS
机构
关键词
D O I
10.1007/BF01019324
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using the conformal invariance of the Green's functions for the fields in the Gross-Neveu model in the critical regime that was proved earlier, we now use the conformal-bootstrap method for arbitrary space dimension d to calculate the critical dimension of the master field (index eta) in order 1/n3 and of the auxiliary field in order 1/n2, i.e., to an order higher by one than the previously known results.
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页码:127 / 136
页数:10
相关论文
共 11 条
[1]  
BRESIN E, 1978, J PHYS A, V11, P1141
[2]   4-FERMI INTERACTION IN (2+1) DIMENSIONS BEYOND LEADING ORDER IN 1/N [J].
GAT, G ;
KOVNER, A ;
ROSENSTEIN, B ;
WARR, BJ .
PHYSICS LETTERS B, 1990, 240 (1-2) :158-162
[3]  
GRECEY JA, 1991, INT J MOD PHYS, V6, P395
[4]   SELF-CONSISTENCY CONDITIONS IN CONFORMAL COVARIANT FIELD-THEORY [J].
PARISI, G .
LETTERE AL NUOVO CIMENTO, 1972, 4 (15) :777-&
[5]  
POLYAKOV AM, 1970, PISMA ESKP TEOR FIZ, V11, P538
[6]   SIMPLE METHOD OF CALCULATING THE CRITICAL INDEXES IN THE 1/N EXPANSION [J].
VASILEV, AN ;
PISMAK, YM ;
KHONKONEN, YR .
THEORETICAL AND MATHEMATICAL PHYSICS, 1981, 46 (02) :104-113
[7]   1/N EXPANSION - CALCULATION OF THE EXPONENT-ETA AND NV-EXPONENT IN THE ORDER 1/N2 FOR ARBITRARY NUMBER OF DIMENSIONS [J].
VASILEV, AN ;
PISMAK, YM ;
KHONKONEN, YR .
THEORETICAL AND MATHEMATICAL PHYSICS, 1981, 47 (03) :465-480
[8]   2-LOOP BETA-FUNCTION FOR THE GROSS-NEVEU MODEL [J].
WETZEL, W .
PHYSICS LETTERS B, 1985, 153 (4-5) :297-299
[9]   4-FERMION INTERACTION NEAR 4 DIMENSIONS [J].
ZINNJUSTIN, J .
NUCLEAR PHYSICS B, 1991, 367 (01) :105-122
[10]  
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