PATH-INTEGRALS AND GEOMETRY OF TRAJECTORIES

被引:52
作者
BLAU, M
KESKIVAKKURI, E
NIEMI, AJ
机构
[1] UNIV HELSINKI,DEPT THEORET PHYS,SF-00170 HELSINKI 17,FINLAND
[2] UNIV HELSINKI,THEORET PHYS RES INST,SF-00170 HELSINKI 17,FINLAND
关键词
D O I
10.1016/0370-2693(90)91313-Z
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A geometrical interpretation of path integrals is developed in the space of trajectories. This yields a supersymmetric formulation of a generic path integral, with the supersymmetry resembling the BRST supersymmetry of a first class constrained system. If the classical equation of motion is a Killing vector field in the space of trajectories, the supersymmetry localizes the path integral to classical trajectories and the WKB approximation becomes exact. This can be viewed as a path integral generalization of the Duistermaat-Heckman theorem, which states the conditions for the exactness of the WKB approximation for integrals in a compact phase space. © 1990.
引用
收藏
页码:92 / 98
页数:7
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