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Quantum vacuum energy in two dimensional space-times

Journal Article:

Abstract

The paper presents in detail the renormalization theory of the energy-momentum tensor of a two dimensional massless scalar field which has been used elsewhere to study the local physics in a model of black hole evaporation. The treatment is generalized to include the Casimir effect occurring in spatially finite models. The essence of the method is evaluation of the field products in the tensor as functions of two points, followed by covariant subtraction of the discontinuous terms arising as the points coalesce. In two dimensional massless theories, conformal transformations permit exact calculations to be performed. The results are applied here to some special cases, primarily space-times of constant curvature, with emphasis on the existence of distinct 'vacuum' states associated naturally with different conformal coordinate systems. The relevance of the work to the general problems of defining observables and of classifying and interpreting states in curved-space quantum field theory is discussed.
Authors:
Davies, P C.W.; Fulling, S A [1] 
  1. King's Coll., London (UK). Dept. of Mathematics
Publication Date:
Apr 21, 1977
Product Type:
Journal Article
Reference Number:
AIX-08-319163; EDB-77-122869
Resource Relation:
Journal Name: Proc. R. Soc. (London), Ser. A; (United Kingdom); Journal Volume: 354:1676
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; EVAPORATION; QUANTUM FIELD THEORY; SPACE-TIME; SCALAR FIELDS; RENORMALIZATION; VACUUM STATES; CASIMIR OPERATORS; CONFORMAL INVARIANCE; ENERGY-MOMENTUM TENSOR; FIELD OPERATORS; GRAVITATIONAL COLLAPSE; TENSORS; TWO-DIMENSIONAL CALCULATIONS; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; PHASE TRANSFORMATIONS; QUANTUM OPERATORS; 645400* - High Energy Physics- Field Theory; 640102 - Astrophysics & Cosmology- Stars & Quasi-Stellar, Radio & X-Ray Sources
OSTI ID:
7221484
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: PRLAA
Submitting Site:
INIS
Size:
Pages: 59-77
Announcement Date:

Journal Article:

Citation Formats

Davies, P C.W., and Fulling, S A. Quantum vacuum energy in two dimensional space-times. United Kingdom: N. p., 1977. Web.
Davies, P C.W., & Fulling, S A. Quantum vacuum energy in two dimensional space-times. United Kingdom.
Davies, P C.W., and Fulling, S A. 1977. "Quantum vacuum energy in two dimensional space-times." United Kingdom.
@misc{etde_7221484,
title = {Quantum vacuum energy in two dimensional space-times}
author = {Davies, P C.W., and Fulling, S A}
abstractNote = {The paper presents in detail the renormalization theory of the energy-momentum tensor of a two dimensional massless scalar field which has been used elsewhere to study the local physics in a model of black hole evaporation. The treatment is generalized to include the Casimir effect occurring in spatially finite models. The essence of the method is evaluation of the field products in the tensor as functions of two points, followed by covariant subtraction of the discontinuous terms arising as the points coalesce. In two dimensional massless theories, conformal transformations permit exact calculations to be performed. The results are applied here to some special cases, primarily space-times of constant curvature, with emphasis on the existence of distinct 'vacuum' states associated naturally with different conformal coordinate systems. The relevance of the work to the general problems of defining observables and of classifying and interpreting states in curved-space quantum field theory is discussed.}
journal = {Proc. R. Soc. (London), Ser. A; (United Kingdom)}
volume = {354:1676}
journal type = {AC}
place = {United Kingdom}
year = {1977}
month = {Apr}
}