scholarly journals On the Degree of Freedom in Quantum Field Theory: Cutoff and Space-Time Structure

1978 ◽  
Vol 59 (2) ◽  
pp. 646-652 ◽  
Author(s):  
T. Tati
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Degree Of Freedom ◽  
Time Structure ◽  
Quantum Field ◽  
Space Time Structure

CAUSAL SPACES, CAUSAL COMPLEMENTS AND THEIR RELATIONS TO QUANTUM FIELD THEORY

1996 ◽  
Vol 08 (02) ◽  
pp. 229-270 ◽  
Author(s):  
MICHAEL KEYL
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Causal Structure ◽  
Space Time ◽  
Quantum Field ◽  
Algebraic Quantum ◽  
Space Time Structure ◽  
Klein Gordon ◽  
Free Scalar ◽  
Local Observables

In this paper the question is analyzed, how it is possilble to reconstruct classical spacetime from the net of local observables of a quantum field theory. To this end different aspects of space-time structure are considered separately. Special attention is drawn to the topological and the causal structure of space-time. Within the scope of causality the differences between causal spaces introduced by Kronheimer and Penrose and causal disjointness relations used in algebraic quantum field theory are considered. Finally we show that the free scalar field on a globally hyperbolic space-time is a special example for our scheme, even if the corresponding Klein-Gordon operator is a Huygens operator.

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.

Quantum field theory in anti-de Sitter space-time

1978 ◽  
Vol 18 (10) ◽  
pp. 3565-3576 ◽  
Author(s):  
S. J. Avis ◽  
C. J. Isham ◽  
D. Storey
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
De Sitter Space ◽  
Space Time ◽  
Quantum Field ◽  
De Sitter

Momentum space techniques for curved space–time quantum field theory

1979 ◽  
Vol 367 (1728) ◽  
pp. 123-141 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Momentum Space ◽  
Nuclear Physics ◽  
Space Time ◽  
Coordinate Space ◽  
Quantum Field ◽  
Curved Space ◽  
Time Quantum ◽  
Space Formulation

A momentum space formulation of curved space–time quantum field theory is presented. Such a formulation allows the riches of momentum space calculational techniques already existing in nuclear physics to be exploited in the application of quantum field theory to cosmology and astrophysics. It is demonstrated that one such technique can allow exact, or very accu­rate approximate, results to be obtained in cases which are intractable in coordinate space. An efficient method of numerical solution is also described.

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