Weyl anomaly in higher dimensions and Feynman rules in coordinate space - INSPIRE

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Weyl anomaly in higher dimensions and Feynman rules in coordinate space

Shoichi Ichinose
(
- Brookhaven and
- Kyoto U., RIMS
)
,
Noriaki Ikeda
(
- Brookhaven and
- Kyoto U., RIMS
)

Oct, 1998

45 pages

Published in:

J.Math.Phys. 40 (1999) 2259-2290

e-Print:

hep-th/9810256 [hep-th]

DOI:

10.1063/1.532863

Report number:

US-98-07

View in:

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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 rule and the propagator rule, are given in (regularized) coordinate space. Graphical calculation is introduced. The 6 dimensional scalar-gravity theory is taken as an example, and its explicit result is obtained.

anomaly: Weyl
space-time: higher-dimensional
heat kernel
Feynman graph
gravitation
field theory: scalar
regularization

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Figures(0)

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