Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman's equivalence

Abstract

We prove the Coleman's conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.

55 pages, 1 figure minor corrections

References in corpus (3)

• Ward identities and Chiral anomaly in the Luttinger liquid
• Functional Integral Construction of the Thirring model: axioms verification and massless limit
• Non perturbative Adler-Bardeen Theorem

Cited by in corpus (24)

• Height fluctuations in interacting dimers
• A Perspective on Constructive Quantum Field Theory
• Thirring model at finite density in 0+1 dimensions with stochastic quantization: Crosscheck with an exact solution
• Log-Sobolev inequality for the continuum sine-Gordon model
• Extended scaling relations for planar lattice models
• Correlation Energy of a Weakly Interacting Fermi Gas
• Bosonization and Functional Renormalization Group Approach in the Framework of QED_2
• Non-integrable dimers: Universal fluctuations of tilted height profiles
• Universality of one-dimensional Fermi systems, II. The Luttinger liquid structure
• Haldane relation for interacting dimers
• Maximum and coupling of the sine-Gordon field
• The Coleman correspondence at the free fermion point
• Anomaly cancellation condition in an effective non-perturbative electroweak theory
• Snowmass White Paper: The Quest to Define QFT
• Emergent Adler-Bardeen theorem
• Vector and Axial anomaly in the Thirring-Wess model
• Conformal invariance and Renormalization Group
• The Sine-Gordon QFT in de Sitter spacetime
• Wedge-local observables in the deformed sine-Gordon model
• Weakly non-planar dimers
• Universal Luttinger Liquid Relations in the 1D Hubbard Model
• Operator-algebraic construction of the deformed Sine-Gordon model
• Anomaly cancellation condition in lattice effective electroweak theory
• Local operators in the Sine-Gordon model: ${\partial }_{\mu }\varphi {\partial }_{\nu }\varphi$ and the stress tensor