Trace Anomaly in Quantum Spacetime Manifold

Details Trace Anomaly in Quantum Spacetime Manifold Trace Anomaly in Quantum Spacetime Manifold

2006-04-13

arxiv.org/abs/hep-th/0604094v1

Phys.Rev.D73:084004,2006

Physics

High Energy Physics

High Energy Physics - Theory

15pages, RevTex, no figures, 1 Table

Scientific paper

10.1103/PhysRevD.73.084004

In this paper we investigate the trace anomaly in a spacetime where single events are de-localized as a consequence of short distance quantum coordinate fluctuations. We obtain a modified form of heat kernel asymptotic expansion which does not suffer from short distance divergences. Calculation of the trace anomaly is performed using an IR regulator in order to circumvent the absence of UV infinities. The explicit form of the trace anomaly is presented and the corresponding 2D Polyakov effective action and energy momentumtensor are obtained. The vacuum expectation value of the energy momentum tensor in the Boulware, Hartle-Hawking and Unruh vacua is explicitly calculated in a (rt)-section of a recently found, noncommutative geometry inspired, Schwarzschild-like solution of the Einstein equations. The standard short distance divergences in the vacuum expectation values are regularized in agreement with the absence of UV infinities removed by quantum coordinate fluctuations.

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