An Example of Dimensional Regularization With Antisymmetric Tensors

Bos, Michiel

doi:10.1016/0003-4916(88)90164-9

An Example of Dimensional Regularization With Antisymmetric Tensors

Michiel Bos
(
- MIT, LNS
)

Aug, 1987

21 pages

Published in:

Annals Phys. 181 (1988) 177

DOI:

10.1016/0003-4916(88)90164-9

Report number:

MIT-CTP-1516

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Abstract: (Elsevier)

Dimensional regularization with antisymmetric tensors is discussed on the basis of a specific example, the two-dimensional WZW model. A manifestly self-consistent definition of ε μν is used, violating the full Lorentz invariance of the dimensionally continued space-time. The ensuing apparent pathology in the renormalization procedure is resolved by a careful study of the renormalization group. The argument is checked and illustrated by explicit calculations up to three loops.

FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORY: WESS-ZUMINO TERM
FIELD THEORY: TWO-DIMENSIONAL
RENORMALIZATION: REGULARIZATION
RENORMALIZATION GROUP
INVARIANCE: LORENTZ
PERTURBATION THEORY: HIGHER-ORDER

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