Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-02-12
Phys.Lett.B309:279-284,1993
Physics
High Energy Physics
High Energy Physics - Theory
Brandeis BRX--343, SISSA 14/93/EP
Scientific paper
10.1016/0370-2693(93)90934-A
We give a complete geometric description of conformal anomalies in arbitrary, (necessarily even) dimension. They fall into two distinct classes: the first, based on Weyl invariants that vanish at integer dimensions, arises from finite -- and hence scale-free -- contributions to the effective gravitational action through a mechanism analogous to that of the (gauge field) chiral anomaly. Like the latter, it is unique and proportional to a topological term, the Euler density of the dimension, thereby preserving scale invariance. The contributions of the second class, requiring introduction of a scale through regularization, are correlated to all local conformal scalar polynomials involving powers of the Weyl tensor and its derivatives; their number increases rapidly with dimension. Explicit illustrations in dimensions 2, 4 and 6 are provided.
Deser Stanley
Schwimmer Adam
No associations
LandOfFree
Geometric Classification of Conformal Anomalies in Arbitrary Dimensions 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 Geometric Classification of Conformal Anomalies in Arbitrary Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric Classification of Conformal Anomalies in Arbitrary Dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-2342