Topological excitations in the Abelian Higgs model

Journal Article · Mon May 15 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.2583· OSTI ID:6777566

Einhorn, M B; Savit, R

A lattice version of the Abelian Higgs model is studied in arbitrary Euclidean dimension. Using an exact duality transformation, the theory is rewritten in terms of its topological excitations. The dual form of the theory specifies in a simple way all the allowed topological excitations as well as their interactions. The combination of the scalar Higgs field and the Abelian gauge field produces excitations found neither in the pure gauge theory nor in the pure scalar theory (X-Y model). In three dimensions, for example, we find finite vortex strings terminating on monopoles, as well as closed vortex loops. Implications of these singularities for the critical behavior of the theory are briefly discussed.

• Research Organization: Physics Department, University of Michigan, Ann Arbor, Michigan 48104
• OSTI ID: 6777566
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DUALITY
EUCLIDEAN SPACE
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MONOPOLES
PARTICLE MODELS
RIEMANN SPACE
SCALAR FIELDS
SINGULARITY
SPACE
SYMMETRY GROUPS
TOPOLOGY
U GROUPS
U-1 GROUPS