Behavior in strong fields of Euclidean gauge theories
Journal Article
·
· Phys. Rev. D; (United States)
We represent the Green's functions and functional determinants in Euclidean gauge theories by means of the Feynman-Kac formula. Such a representation is useful in the investigation of the determinant as a functional of the gauge field. As a first application of these formulas we show (for the Abelian gauge field A) that ln det(-del/sub A/ /sup 2/+m/sup 2/)/sup -1/ = c ..integral..F/sup 2/lnF/sup 2/+r(partialF/sup 2/) in four dimensions, where c>0 and the remainder r(partialF/sup 2/) is bounded by a quadratic form of partial/sub rho/F/sub munu/. This behavior for large F is crucial for the stability of quantum models of gauge theories.
- Research Organization:
- University of Wroclaw, Institute of Theoretical Physics, 50-205 Wroclaw, Poland
- OSTI ID:
- 6509664
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
EUCLIDEAN SPACE
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HIGGS MODEL
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
RIEMANN SPACE
SPACE
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
EUCLIDEAN SPACE
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
HIGGS MODEL
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTICLE MODELS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
RIEMANN SPACE
SPACE