INDUCED GAUGE-FIELDS IN THE PATH-INTEGRAL

被引:14
作者
TANIMURA, S [1 ]
TSUTSUI, I [1 ]
机构
[1] UNIV TOKYO,INST NUCL STUDY,TANASHI,TOKYO 188,JAPAN
关键词
D O I
10.1142/S021773239500274X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The path-integral on a homogeneous space G/H is constructed, based on the guiding principle ''first lift to G and then project to G/H''. It is then shown that this principle admits inequivalent quantizations inducing a gauge field (the canonical connection) on the homogeneous space, and thereby reproduces the result obtained earlier by algebraic approaches.
引用
收藏
页码:2607 / 2617
页数:11
相关论文
共 28 条
[1]   YANG-MILLS DUALITY IN HIGHER DIMENSIONS [J].
BAIS, FA ;
BATENBURG, P .
NUCLEAR PHYSICS B, 1986, 269 (02) :363-388
[2]   NONLINEAR REALIZATION AND HIDDEN LOCAL SYMMETRIES [J].
BANDO, M ;
KUGO, T ;
YAMAWAKI, K .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1988, 164 (4-5) :217-314
[3]  
BERRY MV, 1984, P ROY SOC LOND A MAT, V329, P45
[4]   QUANTUM-MECHANICS ON HOMOGENEOUS SPACES [J].
DOEBNER, HD ;
TOLAR, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1975, 16 (04) :975-984
[5]  
GUICHARDET A, 1984, ANN I H POINCARE-PHY, V40, P329
[6]  
ISHAM CJ, 1984, RELATIVITY GROUPS TO, V2
[7]  
IWAI T, 1987, ANN I H POINCARE-PHY, V47, P199
[8]   DYNAMICAL GAUGE FIELD-INDUCED BY THE BERRY PHASE MECHANISM [J].
KIKKAWA, K ;
TAMURA, H .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (11) :1597-1609
[9]   A POSSIBLE ORIGIN OF GAUGE-INVARIANCE IN LOW-ENERGY PHYSICS [J].
KIKKAWA, K .
PHYSICS LETTERS B, 1992, 297 (1-2) :89-92
[10]   FEYNMAN FUNCTIONAL INTEGRALS FOR SYSTEMS OF INDISTINGUISHABLE PARTICLES [J].
LAIDLAW, MGG ;
DEWITT, CM .
PHYSICAL REVIEW D, 1971, 3 (06) :1375-&