How super-renormalizable interactions cure their infrared divergences
Perturbative expansions in models which possess super-renormalizable interactions of massless fields are beset by severe infrared divergences. We show that the complete theory is well defined and has no such divergences; rather the exact amplitudes are nonanalytic functions of the coupling constant and cannot be expanded in its powers. Typically, logarithms of the coupling constant occur, as well as analytic pieces. The analytic portions cannot be found in perturbation theory; they are determined by matrix elements of composite operators. But the nonanalytic behavior is completely fixed in terms of the theory's other parameters. The present investigation should be relevant to a study of physical quantum chromodynamics at its finite-temperature phase transitions.
- Research Organization:
- Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology,Cambridge, Massachusetts 02139
- DOE Contract Number:
- AC02-76ER03069
- OSTI ID:
- 6405264
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 23:10; 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
CHIRALITY
COUPLING CONSTANTS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
INFRARED DIVERGENCES
INTERACTIONS
INVARIANCE PRINCIPLES
MASSLESS PARTICLES
MATRIX ELEMENTS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
PHASE TRANSFORMATIONS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
SPINORS
SYMMETRY
YANG-MILLS THEORY