Equivalence of four-dimensional self duality equations and the continuum analog of the principal chiral field problem

Journal Article · Sun May 01 00:00:00 EDT 1988 · Theor. Math. Phys.; (United States)

OSTI ID:5974023

Leznov, A N

A connection is established between the self-dual equations of four-dimensional space and the principal chiral field problem in a space of n dimensions. It is shown that any solution of the equations of the principal chiral field in n-dimensional space with arbitrary two-dimensional functions of definite linear combinations of the four variables, y, y, z, z, as independent arguments satisfies the system of self-dual equations of four-dimensional space. The general solution of the self-dual equations, depending on the necessary number of functions of three independent arguments, is identical to the general solution to the principal chiral field problem when the dimension of the space tends to infinity.

• Research Organization: Institute of High Energy Physics, Serpukhov (USSR)
• OSTI ID: 5974023
• Journal Information: Theor. Math. Phys.; (United States), Vol. 73:2; Other Information: Translated from Teor. Mat. Fiz.; 73: No. 2, 302-307(Nov 1987)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
CHIRAL SYMMETRY
PARTICLE MODELS
FOUR-DIMENSIONAL CALCULATIONS
EIGENVALUES
FIELD EQUATIONS
FUNCTIONS
QUANTUM FIELD THEORY
SOLITONS
TWO-DIMENSIONAL CALCULATIONS
EQUATIONS
FIELD THEORIES
MATHEMATICAL MODELS
QUASI PARTICLES
SYMMETRY
645300* - High Energy Physics- Particle Invariance Principles & Symmetries
645400 - High Energy Physics- Field Theory