Analytical approximation for <{phi}{sup 2}> of a quantized scalar field in ultrastatic asymptotically flat spacetimes
- Department of Mathematics, Kazan State Pedagogical University, Mezhlauk 1 Street, Kazan 420021 (Russian Federation)
Analytical approximations for <{phi}{sup 2}> of a quantized scalar field in ultrastatic asymptotically flat spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling {xi} to the scalar curvature, and in a zero or nonzero temperature vacuum state. The expression for <{phi}{sup 2}> is divided into low- and high-frequency parts. The expansion for the high-frequency contribution to this quantity is obtained. This expansion is analogous to the DeWitt-Schwinger one. As an example, the low-frequency contribution to <{phi}{sup 2}> is calculated on the background of the small perturbed flat spacetime in a quantum state corresponding to the Minkowski vacuum at the asymptotic. The limits of the applicability of these approximations are discussed.
- OSTI ID:
- 20705517
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 8; Other Information: DOI: 10.1103/PhysRevD.70.084047; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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