HARMONIC-ANALYSIS AND PROPAGATORS ON HOMOGENEOUS SPACES

被引:256
作者
CAMPORESI, R
机构
[1] Department of Physics and Astronomy, University of Maryland, College Park
来源
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 1990年 / 196卷 / 1-2期
基金
美国国家科学基金会;
关键词
D O I
10.1016/0370-1573(90)90120-Q
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The techniques of harmonic analysis of homogeneous spaces are reviewed, and applied to the theory of propagators. The spectral geometry of homogeneous and, in particular, of symmetric spaces is considered, with explicit calculations of the heat kernel and the zeta function. Several topics relevant to physical applications are discussed, including the Schwinger-DeWitt expansion, the exactness of the WKB approximation in curved spaces, the connection between free motion on symmetric spaces and quantum integrable systems, and finite-temperature quantum field theories in higher dimensions. The paper contains some new results of both mathematical and physical interest; e.g., explicit formulas for the scalar degeneracies of the Laplacian on a compact symmetric space, exact forms of the zeta function on the symmetric spaces of rank one, extension of the finite-temperature formalism to spinor fields in higher-dimensional static spacetimes, and Casimir energy calculations in even dimensions. © 1990.
引用
收藏
页码:1 / 134
页数:134
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