×

zbMATH — the first resource for mathematics

Anomalies on orbifolds. (English) Zbl 0971.81153
Summary: We review the form of the chiral anomaly on an \(S^1/\mathbb{Z}_2\) orbifold with chiral boundary conditions. The 4-divergence of the higher-dimensional current evaluated at a given point in the extra dimension is proportional to the probability of finding the chiral zero mode there. Nevertheless the anomaly, appropriately defined as the five-dimensional divergence of the current, lives entirely on the orbifold fixed planes and is independent of the shape of the zero mode. We show how to obtain these results in a simple way in terms of the properties of the Kaluza-Klein modes of the orbifold.

MSC:
81T50 Anomalies in quantum field theory
81T20 Quantum field theory on curved space or space-time backgrounds
PDF BibTeX XML Cite
Full Text: DOI arXiv
References:
[1] Dixon, L.; Harvey, J.A.; Vafa, C.; Witten, E., Nucl. phys. B, 261, 678, (1985)
[2] Pomarol, A.; Quiros, M., Phys. lett. B, 438, 255, (1998), For an example of an orbifold in field theory see
[3] Adler, S.L.; Bell, J.S.; Jackiw, R., Phys. rev., Nuovo cimento A, 60, 47, (1969)
[4] Kaplan, D.B., Phys. lett. B, 288, 342, (1992)
[5] Horava, P.; Witten, E., Nucl. phys. B, 460, 506, (1996)
[6] Horava, P.; Witten, E., Nucl. phys. B, 475, 94, (1996)
[7] Faux, M.; Lust, D.; Ovrut, B.A., Nucl. phys. B, 589, 269, (2000)
[8] Coleman, S.; Grossman, B., Nucl. phys. B, 203, 205, (1982)
[9] Georgi, H.; Grant, A.K.; Hailu, G., Phys. rev. D, 63, 064027, (2001)
[10] Callan, C.G.; Harvey, J.A., Nucl. phys. B, 250, 427, (1985)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.