Gauge fields on the null plane. [Singularities, ultraviolet divergences, coupling constant renormalization]

Journal Article · Thu Jul 15 04:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.452· OSTI ID:7265003

Casher, A

The theory of gauge fields interacting with fermions is quantized on the null plane. The singularities of the gauge field propagator are related to the infrared divergences of the theory and cancel in the gauge-invariant sector. Ultraviolet divergences are due only to the high-transverse-momentum behavior and in the gauge-invariant sector are eliminated by coupling-constant renormalization. Equivalence to the covariant-gauge formulation is proved by explicitly performing the gauge transformation. Gauge-invariant ultraviolet and infrared cutoffs which preserve unitarity are used wherever necessary. Gauge-variant amplitudes are infrared divergent and non-Lorentz invariant. (AIP)

• Research Organization: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
• OSTI ID: 7265003
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRODYNAMICS
EQUATIONS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SINGULARITY
ULTRAVIOLET DIVERGENCES
WAVE EQUATIONS