Adiabatic regularization of the quantum stress-energy tensor in curved spacetimes: Stochastic quantization method

Details Adiabatic regularization of the quantum stress-energy tensor in curved spacetimes: Stochastic quantization method Adiabatic regularization of the quantum stress-energy tensor in curved spacetimes: Stochastic quantization method

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.2560h&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 6, 15 September 1992, pp.2560-2569

Physics

3

Theory Of Quantized Fields

Scientific paper

It is found that the adiabatic regularized quantum stress-energy tensor for matter in any background spacetime can be obtained in the framework of stochastic quantization. As an illustration, we investigate the modes of a massive scalar field with arbitrary curvature coupling to the inhomogeneous conformally flat spacetime. The difficulty of the mode-mixing behavior arising from the spacetime inhomogeneity is overcome and a simple algorithm is presented to evaluate the adiabatic regularized quantum stress-energy tensor. The expressions so obtained are useful in formulating the semiclassical theory of gravity and in the numerical study of the back-reaction effects of quantized fields in inhomogeneous spacetimes, such as the problems of homogenization in the early universe and the evaporation of a quantum black hole. It can be seen that our prescriptions may be extended to investigate more realistic models with fermions and gauge fields. This will be studied in future papers.

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