Sine-Gordon equation and nonlinear sigma model on a lattice

Journal Article · Wed Nov 15 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.3828· OSTI ID:6499696

Orfanidis, S J

A discrete generalization of the sine-Gordon equation on a lattice is studied. The corresponding Baecklund transformation, soliton solutions, action principle, conservation laws, and inverse scattering equations are obtained. The connection to a discrete version of the two-dimensional nonlinear sigma model is found.

• Research Organization: Department of Electrical Engineering, Rutgers University, Piscataway, New Jersey 08854
• OSTI ID: 6499696
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONSERVATION LAWS
EIGENFUNCTIONS
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
INVERSE SCATTERING PROBLEM
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
PARTICLE MODELS
QUASI PARTICLES
SIGMA MODEL
SINE-GORDON EQUATION
SOLITONS
SPACE-TIME