Renormalization of the energy--momentum tensor in phi/sup 4/ theory
The problem of the improvement term of the energy-momentum tensor theta/sub ..mu nu../ in phi/sup 4/ theory is reconsidered. Renormalization-group methods (due to 't Hooft) with dimensional regularization are used. A unique finite improvement coefficient, depending only on the regulator parameter, is shown to renormalize theta/sub ..mu nu../. This theta/sub ..mu nu../ has a soft trace at a fixed point. It coincides with the theta/sub ..mu nu../ suggested by conformal ideas and by Callan, Coleman, and Jackiw (CCJ), if summation of the perturbation theory divergences is allowed. But order by order, the CCJ theta/sub ..mu nu../ is finite only up to the three-loop level, and not beyond, even if it is correctly dimensionally regularized. (AIP)
- Research Organization:
- Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
- OSTI ID:
- 7141121
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:8; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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