Stress-tensor trace anomaly in a gravitational metric - General theory, Maxwell field

Details Stress-tensor trace anomaly in a gravitational metric - General theory, Maxwell field Stress-tensor trace anomaly in a gravitational metric - General theory, Maxwell field

May 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977phrvd..15.2810b&link_type=abstract

Physical Review D - Particles and Fields, 3rd Series, vol. 15, May 15, 1977, p. 2810-2829. ERDA-supported research.

Physics

80

Electromagnetic Fields, Field Theory (Physics), Gravitational Fields, Stress Tensors, Gravitation Theory, Maxwell Equation, Metric Space, Scalars, Space-Time Functions, Wentzel-Kramer-Brillouin Method

Scientific paper

The vacuum expectation value of the stress-energy tensor and the corresponding one-loop action functional were previously studied for the case of a scalar field propagating in a space-time with an arbitrary metric, and a renormalization scheme was introduced which employed a continuation in the space-time dimensionality accomplished with the use of a proper-time representation. This paper presents the theory in a more general and formal manner which exhibits the vacuum expectation value of the stress tensor directly as the metric functional derivative of the one-loop action functional. The renormalization scheme is applied to the case of the electromagnetic Maxwell field as well as to the scalar field. It is found that the trace of the stress tensor formally vanishes for both the massless scalar field and the Maxwell field, that the trace of the renormalized vacuum expectation value of the stress tensor does not vanish for either field, and that these finite-trace anomalies cannot be removed by adding a finite local counterterm to the Lagrange function. For the Maxwell field, gauge invariance is restored with the addition of an anticommuting scalar massless 'ghost' field.

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