Kinematic sum rules for trace anomalies

Details Kinematic sum rules for trace anomalies Kinematic sum rules for trace anomalies

2001-07-23

arxiv.org/abs/hep-th/0107194v2

JHEP 0111:033,2001

Physics

High Energy Physics

High Energy Physics - Theory

21 pages; published version: added discussion about scheme independence and generalization to sum rules for c

Scientific paper

10.1088/1126-6708/2001/11/033

I derive a procedure to generate sum rules for the trace anomalies a and a'. Linear combinations of Delta a = a_UV-a_IR and Delta a' = a'_UV-a'_IR are expressed as multiple flow integrals of the two-, three- and four-point functions of the trace of the stress tensor. Eliminating Delta a', universal flow invariants are obtained, in particular sum rules for Delta a. The formulas hold in the most general renormalizable quantum field theory (unitary or not), interpolating between UV and IR conformal fixed points. I discuss the relevance of these sum rules for the issue of the irreversibility of the RG flow. The procedure can be generalized to derive sum rules for the trace anomaly c.

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