Path-integral quantization of a Dirac string Lagrangian in the A/sup 0/=0 gauge

Journal Article · Thu Nov 15 04:00:00 EST 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.2555· OSTI ID:5727541

Narain, K S

It is shown that the path-integral quantization of a magnetic-monopole string Lagrangian can be carried out in the A/sup 0/ = 0 gauge without imposing constraints or fixing the gauge completely. Longitudinal modes and the string variables associated with the gauge freedom are not eliminated, but the quantum fluctuations of these variables are integrated out in the Feynman path integral, and the electric Coulomb interaction potential and the charge-monopole interaction potential are obtained as effective potentials. The constraints are imposed on the state vectors. It is shown how to construct such state vectors obeying constraints at all times by using the path integral.

• Research Organization: Physics Department, Syracuse University, Syracuse, New York 13210
• OSTI ID: 5727541
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
COULOMB FIELD
ELECTRIC CHARGES
ELECTRIC FIELDS
ELEMENTARY PARTICLES
ENERGY
EXTENDED PARTICLE MODEL
FEYNMAN PATH INTEGRAL
FUNCTIONS
GAUGE INVARIANCE
INTEGRALS
INVARIANCE PRINCIPLES
KINETIC ENERGY
LAGRANGIAN FUNCTION
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MONOPOLES
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
STRING MODELS
VECTOR FIELDS