Infrared singularity of the resolvent of some Yang--Mills-type operators
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
For operators of Yang--Mills type H = summation/sup 4//sub j/ = 1(-i(partial/partialx/sub j/)x1 +A/sub j/(x))/sup 2/+W(x) in L/sup 2/(R/sup 4/)xV the infrared singularity of the resolvent (H-zeta)/sup -1/ is described completely in terms of asymptotic expansions as zeta..-->..0. A/sub j/(x) and W(x) are required to satisfy A/sub j/(x) = O(Vertical BarxVertical Bar/sup -2-delta/), W(x) = O(Vertical BarxVertical Bar/sup -2-delta/), as Vertical BarxVertical Bar..-->..infinity, delta>0.
- Research Organization:
- Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
- OSTI ID:
- 5773377
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:6; ISSN JMAPA
- 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
ASYMPTOTIC SOLUTIONS
BANACH SPACE
EIGENVALUES
ELECTRODYNAMICS
EUCLIDEAN SPACE
FIELD THEORIES
HERMITIAN OPERATORS
HILBERT SPACE
INFRARED DIVERGENCES
INSTANTONS
LAPLACIAN
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PERTURBATION THEORY
POTENTIALS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
RESONANCE
RIEMANN SPACE
SINGULARITY
SPACE
SYMMETRY
TOPOLOGY
YANG-MILLS THEORY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BANACH SPACE
EIGENVALUES
ELECTRODYNAMICS
EUCLIDEAN SPACE
FIELD THEORIES
HERMITIAN OPERATORS
HILBERT SPACE
INFRARED DIVERGENCES
INSTANTONS
LAPLACIAN
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
PERTURBATION THEORY
POTENTIALS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
RESONANCE
RIEMANN SPACE
SINGULARITY
SPACE
SYMMETRY
TOPOLOGY
YANG-MILLS THEORY