Higher-loop anomalies in chiral gravities

Details Higher-loop anomalies in chiral gravities Higher-loop anomalies in chiral gravities

1995-05-16

arxiv.org/abs/hep-th/9505099v2

Nucl.Phys. B454 (1995) 207-226

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, latex, 12 figures as uuencoded postscript. To appear in Nucl. Phys. B

Scientific paper

10.1016/0550-3213(95)00401-D

The one-loop anomalies for chiral $W_{3}$ gravity are derived using the Fujikawa regularisation method. The expected two-loop anomalies are then obtained by imposing the Wess-Zumino consistency conditions on the one-loop results. The anomalies found in this way agree with those already known from explicit Feynman diagram calculations. We then directly verify that the order $\hbar^2$ non-local BRST Ward identity anomalies, arising from the ``dressing'' of the one-loop results, satisfy Lam's theorem. It is also shown that in a rigorous calculation of $Q^2$ anomaly for the BRST charge, one recovers both the non-local as well as the local anomalies. We further verify that, in chiral gravities, the non-local anomalies in the BRST Ward identity can be obtained by the application of the anomalous operator $Q^2$, calculated using operator products, to an appropriately defined gauge fermion. Finally, we give arguments to show why this relation should hold generally in reparametrisation-invariant theories.

Affiliated with

Also associated with

No associations

Rating

Higher-loop anomalies in chiral gravities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Higher-loop anomalies in chiral gravities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher-loop anomalies in chiral gravities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-280180