On the equivalence of the self-dual and Maxwell-Chern-Simons models coupled to fermions

被引:38
作者
Gomes, M
Malacarne, LC
da Silva, AJ
机构
[1] USP, Inst Fis, BR-05315970 Sao Paulo, Brazil
[2] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil
关键词
D O I
10.1016/S0370-2693(98)01008-9
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the exact equivalence between the self-dual model minimally coupled with a Dirac field and the Maxwell-Chern-Simons model with non-minimal magnetic coupling to fermions. We show that the fermion sectors of the models are equivalent only if a Thirring like interaction is included. Using functional methods we verify that, up to renormalizations, the equivalence persists at the quantum level. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:137 / 141
页数:5
相关论文
共 18 条
[1]   Non-abelian ''self-dual'' gauge theory in 2+1 dimensions [J].
Arias, PJ ;
Leal, L ;
Restuccia, A .
PHYSICS LETTERS B, 1996, 367 (1-4) :170-174
[2]  
ARIAS PJ, 1993, PHYS LETT B, V347, P1241
[3]  
Banerjee N, 1996, NUCL PHYS B, V481, P421, DOI 10.1016/S0550-3213(96)90147-9
[4]   Hamiltonian embedding of the self-dual model and equivalence with Maxwell-Chern-Simons theory [J].
Banerjee, R ;
Rothe, HJ ;
Rothe, KD .
PHYSICAL REVIEW D, 1997, 55 (10) :6339-6343
[5]   EQUIVALENCE OF THE MAXWELL-CHERN-SIMONS THEORY AND A SELF-DUAL MODEL [J].
BANERJEE, R ;
ROTHE, HJ ;
ROTHE, KD .
PHYSICAL REVIEW D, 1995, 52 (06) :3750-3752
[6]   OPERATORIAL QUANTIZATION OF DYNAMIC-SYSTEMS SUBJECT TO 2ND CLASS CONSTRAINTS [J].
BATALIN, IA ;
FRADKIN, ES .
NUCLEAR PHYSICS B, 1987, 279 (3-4) :514-528
[7]   BOSONIZATION OF 3-DIMENSIONAL NON-ABELIAN FERMION FIELD-THEORIES [J].
BRALIC, N ;
FRADKIN, E ;
MANIAS, V ;
SCHAPOSNIK, FA .
NUCLEAR PHYSICS B, 1995, 446 (1-2) :144-156
[8]   SELF-DUALITY OF TOPOLOGICALLY MASSIVE GAUGE-THEORIES [J].
DESER, S ;
JACKIW, R .
PHYSICS LETTERS B, 1984, 139 (5-6) :371-373
[9]   THE FERMION-BOSON MAPPING IN 3-DIMENSIONAL QUANTUM-FIELD THEORY [J].
FRADKIN, E ;
SCHAPOSNIK, FA .
PHYSICS LETTERS B, 1994, 338 (2-3) :253-258
[10]   ON THE QUANTIZATION OF FIELD-THEORIES WITH 2ND CLASS CONSTRAINTS [J].
GIANVITTORIO, R ;
RESTUCCIA, A ;
STEPHANY, J .
MODERN PHYSICS LETTERS A, 1991, 6 (23) :2121-2128