Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension

Details Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension

2005-12-20

arxiv.org/abs/gr-qc/0512118v2

Phys.Rev.D78:044025,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v1:16 pages - v2:26 pages

Scientific paper

10.1103/PhysRevD.78.044025

We develop the Hadamard renormalization of the stress-energy tensor for a massive scalar field theory defined on a general spacetime of arbitrary dimension. Our formalism could be helpful in treating some aspects of the quantum physics of extra spatial dimensions. More precisely, for spacetime dimension up to six, we explicitly describe the Hadamard renormalization procedure and for spacetime dimension from seven to eleven, we provide the framework permitting the interested reader to perform this procedure explicitly in a given spacetime. We complete our study (i) by considering the ambiguities of the Hadamard renormalization of the stress-energy tensor and the corresponding ambiguities for the trace anomaly, (ii) by providing the expressions of the gravitational counterterms involved in the renormalization process (iii) by discussing the connections between Hadamard renormalization and renormalization in the effective action. All our results are expanded on standard bases for Riemann polynomials constructed from group theoretical considerations and thus given on irreducible forms.

Affiliated with

Also associated with

No associations

Rating

Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-421975