Nonlocal conserved currents for two-dimensional chiral theories

Journal Article · Tue Jan 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.406· OSTI ID:5755794

Ogielski, A T

We derive an infinite set of conserved nonlocal currents for two-dimensional chiral models with fields assuming values in an arbitrary Lie group G. Explicit formulas are presented for the Minkowski metric, but with slight changes described in the text the analogous results are valid for the Euclidean case as well. The Poisson-bracket algebra of conserved charges is further analyzed for G = SU(2). We expose the geometric structure of chiral models, and outline the relation between models described in this paper and chiral theories corresponding to lower-dimensional homogeneous spaces.

• Research Organization: Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794
• OSTI ID: 5755794
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:2; ISSN PRVDA
• 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
CHIRAL SYMMETRY
CONSERVATION LAWS
CURRENT ALGEBRA
DIFFERENTIAL EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
EQUATIONS OF MOTION
EUCLIDEAN SPACE
LIE GROUPS
MATHEMATICAL SPACE
METRICS
MINKOWSKI SPACE
RIEMANN SPACE
SPACE
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
TENSORS