On renormalisation of the quantum stress tensor in curved space-time by dimensional regularisation

1979 ◽  
Vol 12 (4) ◽  
pp. 517-531 ◽  
Author(s):  
T S Bunch
Keyword(s):  
Stress Tensor ◽  
Space Time ◽  
Curved Space ◽  
Quantum Stress Tensor

Quantum Stress Tensor in Schwarzschild Space-Time

1984 ◽  
Vol 53 (5) ◽  
pp. 403-406 ◽  
Author(s):  
K. W. Howard ◽  
P. Candelas
Keyword(s):  
Stress Tensor ◽  
Space Time ◽  
Quantum Stress Tensor

Quantum vacuum stress without regularization in two-dimensional space-time

1977 ◽  
Vol 354 (1679) ◽  
pp. 529-532 ◽  
Keyword(s):  
Stress Tensor ◽  
Dimensional Space ◽  
Space Time ◽  
Massless Scalar ◽  
Two Dimensional ◽  
Quantum Vacuum ◽  
Curved Space ◽  
Spinor Fields ◽  
Dimensional Space Time ◽  
Point Splitting

It is proved that there is a unique conserved stress tensor possessing a local trace, in the two-dimensional quantum theory of massless scalar and spinor fields propagating in curved space-time. No regularization is therefore required to obtain explicit expressions for the stress tensor. The results agree exactly with earlier expressions obtained from point-splitting regularization.

scholarly journals LOCAL MODES, LOCAL VACUUM, LOCAL BOGOLJUBOV COEFFICIENTS AND THE RENORMALISED STRESS TENSOR

1994 ◽  
Vol 03 (01) ◽  
pp. 237-240 ◽  
Author(s):  
S. MASSAR
Keyword(s):  
Stress Tensor ◽  
Space Time ◽  
Physical Vacuum ◽  
Local Modes ◽  
Curved Space ◽  
The Difference

Local modes and local particles are defined at any point in curved space time as those that most resemble Minkowsky modes at that point. It is shown that the renormalised stress tensor is the difference of energy between the physical vacuum and that defined by these local modes.

Path integrals and the solution of the Schwinger model in curved space-time

1986 ◽  
Vol 33 (8) ◽  
pp. 2262-2266 ◽  
Author(s):  
J. Barcelos-Neto ◽  
Ashok Das
Keyword(s):  
Path Integrals ◽  
Space Time ◽  
Curved Space ◽  
Schwinger Model

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

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