FIELD TRANSFORMATIONS, COLLECTIVE COORDINATES AND BRST INVARIANCE

被引:55
作者
ALFARO, J [1 ]
DAMGAARD, PH [1 ]
机构
[1] UNIV COPENHAGEN, NIELS BOHR INST, DK-2100 COPENHAGEN, DENMARK
关键词
D O I
10.1016/0003-4916(90)90230-L
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A very large class of general field transformations can be viewed as a field theory generalization of the method of collective coordinates. The introduction of new variables induces a gauge invariance in the transformed theory, and the freedom left in gauge fixing this new invariance can be used to find equivalent formulations of the same theory. First the Batalin-Fradkin-Vilkovisky formalism is applied to the Hamiltonian formulation of physical systems that can be described in terms of collective coordinates. We then show how this type of collective coordinate scheme can be generalized to field transformations, and discuss the Ward Identities of the associated BRST invariance. For Yang-Mills theory a connection to topological field theory and the background field method is explained in detail. In general the resulting BRST invariance we find hidden in any quantum field theory can be viewed as a consequence of our freedom in choosing a basis of coordinates φ(x) in the action S[φ]. © 1990.
引用
收藏
页码:398 / 435
页数:38
相关论文
共 51 条
[1]   THE BACKGROUND FIELD METHOD BEYOND ONE LOOP [J].
ABBOTT, LF .
NUCLEAR PHYSICS B, 1981, 185 (01) :189-203
[2]   A REFORMULATION OF THE PERTURBATIVE TREATMENT OF A SYSTEM OF FERMIONS IN A DEFORMED BASIS [J].
ALESSANDRINI, V ;
BES, DR ;
CIVITARESE, O ;
MEHR, MT .
PHYSICS LETTERS B, 1984, 148 (06) :395-398
[3]  
ALESSANDRINI V, 1989, LPTHE8908 PREPR
[4]  
ALESSANDRINI V, 1989, FRONTIERS NONPERTURB
[5]   SUPERSYMMETRY AND LARGE-N LIMIT IN A ZERO-DIMENSIONAL 2-MATRIX MODEL [J].
ALFARO, J ;
RETAMAL, JC .
PHYSICS LETTERS B, 1989, 222 (3-4) :429-432
[6]   ON THE BRST INVARIANCE OF FIELD DEFORMATIONS [J].
ALFARO, J ;
DAMGAARD, PH ;
LATORRE, JI ;
MONTANO, D .
PHYSICS LETTERS B, 1989, 233 (1-2) :153-157
[7]   SCHWINGER-DYSON EQUATIONS AS SUPERSYMMETRIC WARD IDENTITIES [J].
ALFARO, J ;
DAMGAARD, PH .
PHYSICS LETTERS B, 1989, 222 (3-4) :425-428
[8]   THE 2 QUANTUM SYMMETRIES ASSOCIATED WITH A CLASSICAL SYMMETRY [J].
ALVAREZGAUME, L ;
BAULIEU, L .
NUCLEAR PHYSICS B, 1983, 212 (02) :255-267
[9]   RELATIVISTIC S-MATRIX OF DYNAMICAL-SYSTEMS WITH BOSON AND FERMION CONSTRAINTS [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICS LETTERS B, 1977, 69 (03) :309-312
[10]  
Baulieu L., 1988, Nuclear Physics B, Proceedings Supplements, V5B, P12, DOI 10.1016/0920-5632(88)90366-0