Improved formalism for Abelian magnetic monopoles

Journal Article · Sun Jul 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.501· OSTI ID:5978643

Banks, T; Tomboulis, E

Euclidean lattice methods are used to derive an improved version of the Schwinger-Zwanziger Lagrangian for magnetic monopoles. The formalism involves a nondynamical string variable x/sub ..mu../(sigma,tau). When the monopoles are coupled to a charged scalar field, x/sub ..mu../ can be utilized to absorb the dynamics of discontinuities in the angular part of the scalar field. In the Higgs phase where such discontinuities have finite action, x/sub ..mu../ becomes a dynamical variable and the Lagrangian becomes manifestly covariant. We derive the heuristic string-monopole equations of Nambu as the classical limit of the Higgs model in the London approximation.

• Research Organization: Institute for Advanced Study, Princeton, New Jersey 08540
• OSTI ID: 5978643
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EUCLIDEAN SPACE
FUNCTIONS
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MAXWELL EQUATIONS
MECHANICS
MONOPOLES
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM MECHANICS
RIEMANN SPACE
SCALAR FIELDS
SPACE