Phase of a chiral determinant and global SU(2) anomaly

A representation for the phase of a chiral determinant in terms of a path integral of a local action is constructed. This representation is used to modify the action of chiral SU(2) fermions removing the global anomaly.

Note:

6 pages, Latex, no figures Report-no: SMI-15-97

gauge field theory: SU(2)
gauge field theory: Euclidean
fermion: chiral
anomaly
operator: determinant

References(6)

Figures(0)

An SU(2) Anomaly

Edward Witten
(
- Princeton U.
)

- Phys.Lett.B 117 (1982) 324-328,
- Preprint - WITTEN, E. (REC.SEP.82) 14p,
- Phys. Lett. B117 ( 1982) 324-328 and Preprint - WITTEN, E. (REC.SEP.82) 14p,
- In *Treiman, S.b. ( Ed.) Et Al.: Current Algebra and Anomalies*, 429-435. ( Phys. Lett. B117 ( 1982) 324-328) and Preprint - WITTEN, E. (REC.SEP.82) 14p,
•
DOI:
- 10.1016/0370-2693(82)90728-6

Consequences of anomalous Ward identities

J. Wess
(
- CERN and
- Karlsruhe U.
)
,
B. Zumino
(
- CERN
)

- Phys.Lett.B 37 (1971) 95-97
•
DOI:
- 10.1016/0370-2693(71)90582-X

Spectral asymmetry and Riemannian geometry. III

M.F. Atiyah
(
- Oxford U. and
- Tata Inst. and
- MIT
)
,
V.K. Patodi
(
- Oxford U. and
- Tata Inst. and
- MIT
)
,
I.M. Singer
(
- Oxford U. and
- Tata Inst. and
- MIT
)

- Math.Proc.Cambridge Phil.Soc. 79 (1976) 71-99
•
DOI:
- 10.1017/S0305004100052105

- Phys.Lett.B 166 176

An Invariant regularization of the Standard Model

S.A. Frolov
(
- Steklov Math. Inst., Moscow
)
,
A.A. Slavnov
(
- Saclay
)

- Phys.Lett.B 309 (1993) 344-350
•
DOI:
- 10.1016/0370-2693(93)90943-C

Nonperturbative Anomalies in Higher Dimensions

- Nucl.Phys.B 243 (1984) 205,
- Preprint - ELITZUR, S. (84,REC.JUN.) 10p
•
DOI:
- 10.1016/0550-3213(84)90024-5