Weyl anomaly in higher dimensions and Feynman rules in coordinate space

Authors
Ichinose, S Ikeda, N
Citation
S. Ichinose et N. Ikeda, Weyl anomaly in higher dimensions and Feynman rules in coordinate space, J MATH PHYS, 40(5), 1999, pp. 2259-2290
Citations number
47
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
5
Year of publication
1999
Pages
2259 - 2290
Database
ISI
SICI code
0022-2488(199905)40:5<2259:WAIHDA>2.0.ZU;2-R
Abstract
An algorithm to obtain the Weyl anomaly in higher dimensions is presented. It is based on the heat-kernel method. Feynman rules, such as the vertex ru le and the propagator rule, are given in (regularized) coordinate space. A graphical calculation is introduced. The six-dimensional scalar-gravity the ory is taken as an example, and its explicit result is obtained. (C) 1999 A merican Institute of Physics. [S0022-2488(99)01805-8].