Divergent parts of quantum fluctuation in curved space from the Adler-Zee formulas

Journal Article · Wed Feb 15 04:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.29.637· OSTI ID:5198368

Muratani, H; Wada, S

By using the Adler-Zee formulas, the first three terms of the adiabatic expansion of quantum fluctuation in curved space are calculated in the massive free scalar theory with arbitrary coupling to the scalar curvature. We use dimensional regularization and Pauli-Villars regularization. The former requires extension of the formulas to n dimensions. The results coincide with those given by the DeWitt-Schwinger proper-time formalism. We use two energy-momentum tensors, deltaS/deltag/sub munu/Vertical Barfixed and deltaS/deltag/sub munu/Vertical Barfixed (phi-tildeequivalent(-g)/sup 1/4/phi). Both give the same results if the extra term in the formula for the Newtonian constant is properly taken into account.

• Research Organization: Institute of Physics, University of Tokyo-Komaba, Komaba 3-8-1, Tokyo 153, Japan
• OSTI ID: 5198368
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 29:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ENERGY-MOMENTUM TENSOR
FEYNMAN PATH INTEGRAL
FIELD THEORIES
INTEGRALS
METRICS
QUANTUM FIELD THEORY
SCALAR FIELDS
SPACE-TIME
TENSORS