Dimensional Regularization in the Presence of Large Background Fields

Luscher, M.

doi:10.1016/0003-4916(82)90076-8

Dimensional Regularization in the Presence of Large Background Fields

M. Luscher
(
- Bern U.
)

Feb, 1982

52 pages

Published in:

Annals Phys. 142 (1982) 359

DOI:

10.1016/0003-4916(82)90076-8

Report number:

BUTP-7-1982

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Abstract: (Elsevier)

The method of dimensional regularisation is introduced and discussed in detail for the case of quantum field theories with large (i.e., not infinitesimal) classical background fields. Examples considered are the φ 4 -theory on four-dimensional compact curved spaces as well as Yang-Mills gauge theories on S 4 with an arbitrary multi-instanton background field.

field theory: scalar
GAUGE FIELD THEORY: YANG-MILLS
FIELD THEORY: FOUR-DIMENSIONAL
FIELD THEORY: BACKGROUND
EXTERNAL FIELD: CLASSICAL
FIELD EQUATIONS: INSTANTON
CHARGE: TOPOLOGICAL
RENORMALIZATION: REGULARIZATION
PERTURBATION THEORY
RENORMALIZATION GROUP

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