TY - JOUR
T1 - Renormalization of the energy-momentum tensor in φ4 theory
AU - Collins, J. C.
PY - 1976
Y1 - 1976
N2 - The problem of the improvement term of the energy-momentum tensor θμν in φ4 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 θμν. This θμν has a soft trace at a fixed point. It coincides with the θμν 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 θμν is finite only up to the three-loop level, and not beyond, even if it is correctly dimensionally regularized.
AB - The problem of the improvement term of the energy-momentum tensor θμν in φ4 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 θμν. This θμν has a soft trace at a fixed point. It coincides with the θμν 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 θμν is finite only up to the three-loop level, and not beyond, even if it is correctly dimensionally regularized.
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U2 - 10.1103/PhysRevD.14.1965
DO - 10.1103/PhysRevD.14.1965
M3 - Article
AN - SCOPUS:17144416904
VL - 14
SP - 1965
EP - 1976
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 8
ER -