Generalized Jost functions and Levinsons's theorem in a (1 + 1) -dimensional relativistic field-theoretic model
Journal Article
·
· Phys. Rev., D; (United States)
By introducing generalized Jost functions with simple analytic properties we express the exact S matrix of the massive Thirring model (sine-Gordon model) for the fermion-fermion and the two fermion-antifermion channels (soliton-soliton and soliton-antisoliton) in a form very similar to that encountered in one-dimensional potential scattering. Relations between the number of bound states and the phase shifts of the direct and crossed channels (generalized Levinson's theorem) are discussed within this relativistic model.
- Research Organization:
- Institut fuer Theoretische Physik, Freie Universitaet Berlin, D-1000 Berlin 33, Arnimallee 3, Germany
- OSTI ID:
- 7075189
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:4; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
EIGENVALUES
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
JOST FUNCTION
MATRICES
PHASE SHIFT
POTENTIAL SCATTERING
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SINE-GORDON EQUATION
THIRRING MODEL
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
EIGENVALUES
ELASTIC SCATTERING
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
JOST FUNCTION
MATRICES
PHASE SHIFT
POTENTIAL SCATTERING
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SINE-GORDON EQUATION
THIRRING MODEL