Solution of quantum Gel'fand-Levitan-Marchenko equations for the sine-Gordon model with. gamma. =. pi. /nu
Journal Article
·
· Theor. Math. Phys.; (United States)
A complete solution of the quantum Gel'fand-Levitan-Marchenko equations is obtained for the sine-Gordon model for ..gamma.. = ..pi../nu (nu an integar). This makes it possible to calculate the matrix elements of the operators exp(+/- ..pi..2..gamma.. x u(x/sub 0/, x/sub 1/)) taken between the vacuum and an arbitrary state, and to obtain series for the two-point Green's functions. The identify with the case of a free massive Fermi field at the point ..gamma.. = ..pi../2 is verified. The possibility of obtaining analogous expressions for other local operators is discussed.
- Research Organization:
- V. A. Steklov Mathematics Institute, Leningrad (USSR)
- OSTI ID:
- 5328924
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 71:3; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
SINE-GORDON EQUATION
SOLITONS
THIRRING MODEL
VACUUM STATES
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMMUTATION RELATIONS
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
SINE-GORDON EQUATION
SOLITONS
THIRRING MODEL
VACUUM STATES