On infrared renormalization of the topological charge

Shifman, Mikhail A.; Vainshtein, A.I.

doi:10.1016/S0550-3213(05)80023-9

On infrared renormalization of the topological charge

Mikhail A. Shifman
(
- Bern U. and
- Moscow, ITEP
)
,
A.I. Vainshtein
(
- Minnesota U. and
- Novosibirsk, IYF
)

Jun, 1990

23 pages

Published in:

Nucl.Phys.B 365 (1991) 312-334

Published: 1991

DOI:

10.1016/S0550-3213(05)80023-9

Report number:

BUTP-90-4-BERN

View in:

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Abstract: (Elsevier)

The perturbative renormalization of the operator G-G in non-abelian gauge theories is reconsidered. We discuss in detail the relation between the fermion and gluon axial vector currents, a μ and K μ , respectively. It is shown that, contrary to common belief, the term ∫ G-G d 4 x in the lagrangian is renormalized due to infrared effects.

gauge field theory: SU(N)
charge: topological
perturbation theory: higher-order
renormalization: regularization
background field
dimension: 4
Chern-Simons term
dimension: 3
infrared problem
current: axial-vector

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