Equivalence of the massive Thirring model with a U(1) gauge theory
Journal Article
·
· Phys. Rev. D; (United States)
We prove the equivalence (both classical and quantum) of the massive Thirring model with U(1) gauge theory containing the Thirring fermion, the sine-Gordon scalar, and a vector field as fundamental degrees of freedom. The construction is generalized to the SU(/ital N/) Abelian extension of the Thirring model. The mass of the scalar field is calculated in the leading order in the 1//ital N/ expansion and to first order in perturbation theory. The result agrees with the known exact result.
- Research Organization:
- Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel(IL)
- OSTI ID:
- 5897146
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MASS
MATRICES
NUCLEON-NUCLEON POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
POTENTIALS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
S MATRIX
SCALAR FIELDS
SINE-GORDON EQUATION
SKYRME POTENTIAL
SPACE-TIME
SPINOR FIELDS
SU GROUPS
SYMMETRY GROUPS
THIRRING MODEL
U GROUPS
U-1 GROUPS
VECTOR FIELDS
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MASS
MATRICES
NUCLEON-NUCLEON POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
POTENTIALS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
S MATRIX
SCALAR FIELDS
SINE-GORDON EQUATION
SKYRME POTENTIAL
SPACE-TIME
SPINOR FIELDS
SU GROUPS
SYMMETRY GROUPS
THIRRING MODEL
U GROUPS
U-1 GROUPS
VECTOR FIELDS