Momentum-subtraction renormalization techniques in curved space-time

Journal Article · Thu Oct 01 04:00:00 EDT 1987 · Int. J. Mod. Phys. A; (United States)

DOI:https://doi.org/10.1142/S0217751X87000818· OSTI ID:5124024

Foda, O

Momentum-subtraction techniques, specifically BPHZ and Zimmermann's Normal Product algorithm, are introduced as useful tools in the study of quantum field theories in the presence of background fields. In a model of a self-interacting massive scalar field, conformally coupled to a general asymptotically-flat curved space-time with a trivial topology, momentum-subtractions are shown to respect invariance under general coordinate transformations. As an illustration, general expressions for the trace anomalies are derived, and checked by explicit evaluation of the purely gravitational contributions in the free field theory limit. Furthermore, the trace of the renormalized energy-momentum tensor is shown to vanish at the Gell-Mann Low eigenvalue as it should.

• Research Organization: Institute for Theoretical Physics, Princetonplein 5, P.O. Box 80.006, 3508 TA Utrecht (NL)
• OSTI ID: 5124024
• Journal Information: Int. J. Mod. Phys. A; (United States), Journal Name: Int. J. Mod. Phys. A; (United States) Vol. 2:5; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
EIGENVALUES
FIELD THEORIES
GRAVITATIONAL FIELDS
INTERACTIONS
INVARIANCE PRINCIPLES
MASS RENORMALIZATION
MATHEMATICAL LOGIC
MATHEMATICS
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SPACE-TIME
TENSORS
TOPOLOGY
TRANSFORMATIONS