Global existence of time-dependent vortex solutions

Journal Article · Sat Jun 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526948· OSTI ID:5939321

Burzlaff, J; Moncrief, V

We study the Cauchy problem for Abelian Yang--Mills--Higgs theory in (2+1)-dimensional Minkowski space-time. With suitable conditions on the background fields and a suitable choice of a Sobolev space for the subtracted gauge potentials and the Higgs field, we establish local existence. We then prove global existence by showing that an appropriate norm of the solutions cannot blow up in a finite time, and discuss the topology of these solutions.

• Research Organization: Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland
• OSTI ID: 5939321
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
CAUCHY PROBLEM
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
INSTANTONS
LAGRANGIAN FUNCTION
MAGNETIC FLUX
MAGNETIC MONOPOLES
MATHEMATICAL SPACE
MATHEMATICS
MINKOWSKI SPACE
MONOPOLES
POSTULATED PARTICLES
POTENTIALS
QUASI PARTICLES
SOLITONS
SPACE
SPACE-TIME
TIME DEPENDENCE
TOPOLOGY
YANG-MILLS THEORY