Dispersive Approach to the Trace Anomaly

Details Dispersive Approach to the Trace Anomaly Dispersive Approach to the Trace Anomaly

1997-02-03

arxiv.org/abs/hep-ph/9702228v3

Physics

High Energy Physics

High Energy Physics - Phenomenology

LATEX, 10 pages, 2 figures included to the file. The references are updated; the discussion of the anomalous breaking of trans

Scientific paper

In the scalar $\phi^4$ field model the dispersive approach to the trace anomaly is proposed. It is shown that it is impossible to get dispersion representation for all formfactors so that preserve both the translation and dilatation Ward identities. Subtractions which preserve energy-momentum conservation violate the classical trace Ward--Takahashi identity and give rise to an anomalous contribution to the matrix element of stress tensor $\theta_\mu^\nu$. This contribution coincides with one-loop $\beta$-function in accordance with previous analyses based on RG technique.

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