Published June 27, 2003 | Version v1
Journal article Metadata-only

Construction of exact Riemannian instanton solutions

Creators

  • 1. International School for Advanced Studies (SISSA/ISAS), Via Beirut 2-4, 34014, Triste (Italy)
  • 2. Departamento de Fisica-CCE, Universidade Federal do Espirito Santo-UFES, Goiabeiras, 29060-900, Vitoria, ES (Brazil)
  • 3. Instituto de Fisica Teorica-UNESP, Rua Pamplona 145, 01405-900 Sao Paulo, SP, (Brazil)
  • 4. Instituto de Fisica Teorica-IFT/UNESP, Rua Pamplona 145, 01405-900 Sao Paulo, SP (Brazil)

Description

We present the exact construction of Riemannian (or stringy) instantons, which are classical solutions of 2D Yang-Mills theories that interpolate between initial and final string configurations. They satisfy the Hitchin equations with special boundary conditions. For the case of U(2) gauge group those equations can be written as the sine-Gordon equation with a delta-function source. Using the techniques of integrable theories based on the zero curvature conditions, we show that the solution is a condensate of an infinite number of one-solitons with the same topological charge and with all possible rapidities

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/36/7193/a32519.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Identifiers

URL
http://stacks.iop.org/0305-4470/36/7193/a32519.pdf; http://www.iop.org/;
DOI
10.1088/0305-4470/36/25/319;
PII
S0305-4470(03)59509-9;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
36
Journal Issue
25
Journal Page Range
p. 7193-7209
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35000554
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
BOUNDARY CONDITIONS; DELTA FUNCTION; EXACT SOLUTIONS; GAUGE INVARIANCE; INSTANTONS; QUANTUM FIELD THEORY; SINE-GORDON EQUATION; SMOOTH MANIFOLDS; SOLITONS; STRING MODELS; U-2 GROUPS; YANG-MILLS THEORY
Descriptors DEC
COMPOSITE MODELS; EQUATIONS; EXTENDED PARTICLE MODEL; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MANIFOLDS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; PARTICLE MODELS; QUARK MODEL; QUASI PARTICLES; SYMMETRY GROUPS; U GROUPS