Regular effective action of gauge field theory and quantum gravity

Journal Article · Fri May 15 04:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.3008· OSTI ID:6510230

Baaklini, N S

We present a perturbative formalism for the effective quantum action of a general Fermi-Bose field theory. We propose a unitary alternative to the conventional virtual ghost prescription for handling the functional integral of gauge fields, based on the functional space metric that is determined by the Dirac brackets of the canonical theory. A gauge-invariant Gaussian cutoff is introduced by extending the functional space metric into a regular counterpart. The regular one-loop contributions of a scalar field to the photon and the graviton self-energies are computed. The otherwise logarithmically divergent contributions are found, in our scheme, to be independent of cutoff.

• Research Organization: International Centre for Theoretical Physics, Trieste, Italy and Dahr el Chir Science Centre, Dhour el Choueir, Lebanon
• OSTI ID: 6510230
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
ENERGY
FIELD THEORIES
FUNCTIONAL ANALYSIS
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SELF-ENERGY
SYMMETRY
UNITARY SYMMETRY