60 Citations
The sine–Gordon model revisited: I
- Mathematics
- 2010
We study integrable lattice regularizations of the sine–Gordon model with the help of the separation of variables method of Sklyanin and the Baxter -operators. This leads us to the complete…
Approaching the self-dual point of the sinh-Gordon model
- PhysicsJournal of High Energy Physics
- 2021
One of the most striking but mysterious properties of the sinh-Gordon model (ShG) is the b → 1/b self-duality of its S-matrix, of which there is no trace in its Lagrangian formulation. Here b is the…
Diagonal finite volume matrix elements in the sinh-Gordon model
- MathematicsNuclear Physics B
- 2019
The integrable structure of nonrational conformal field theory
- Physics
- 2009
Using the example of Liouville theory, we show how the separation into left- and rightmoving degrees of freedom of a nonrational conformal field theory can be made explicit in terms of its integrable…
Simplest Quantum Gravity
- Mathematics
- 2017
This chapter is devoted to the study of the integrable GGRT theory. In Sect. 4.1 we give an exact solution of TBA equations while in the rest of the chapter we study a variety of unusual properties…
Renormalization group analysis of the hyperbolic sine-Gordon model: Asymptotic freedom from cosh interaction
- Physics, MathematicsProgress of Theoretical and Experimental Physics
- 2019
We present a renormalization group analysis for the hyperbolic sine-Gordon (sinh-Gordon) model in two dimensions. We derive the renormalization group equations based on the dimensional regularization…
Two-dimensional massive integrable models on a torus
- PhysicsJournal of High Energy Physics
- 2022
The finite-volume thermodynamics of a massive integrable QFT is described in terms of a grand canonical ensemble of loops immersed in a torus and interacting through scattering factors associated…
Functional equations and separation of variables for exact g-function
- MathematicsJournal of High Energy Physics
- 2020
The g-function is a measure of degrees of freedom associated to a boundary of two-dimensional quantum field theories. In integrable theories, it can be computed exactly in a form of the Fredholm…
References
SHOWING 1-10 OF 68 REFERENCES
On the thermodynamic Bethe ansatz equation in the sinh-Gordon model
- Mathematics
- 2006
Two implicit periodic structures in the solution of the sinh-Gordon thermodynamic Bethe ansatz (TBA) equation are considered. The analytic structure of the solution as a function of complex θ is…
On the Thermodynamic Bethe Ansatz Equation in Sinh-Gordon Model
- Mathematics
- 2000
Two implicit periodic structures in the solution of sinh-Gordon thermodynamic Bethe ansatz equation are considered. The analytic structure of the solution as a function of complex θ is studied to…
MASS SCALE IN THE SINE–GORDON MODEL AND ITS REDUCTIONS
- Physics
- 1995
Known Bethe ansatz results about the sine–Gordon factorized scattering are reinterpreted in terms of perturbed conformal field theory. We obtain an exact relation between the ultraviolet and…
The integrable structure of nonrational conformal field theory
- Physics
- 2009
Using the example of Liouville theory, we show how the separation into left- and rightmoving degrees of freedom of a nonrational conformal field theory can be made explicit in terms of its integrable…
Integrable Structure of Conformal Field Theory III. The Yang–Baxter Relation
- Mathematics
- 1998
Abstract:In this paper we fill some gaps in the arguments of our previous papers [1,2]. In particular, we give a proof that the L operators of Conformal Field Theory indeed satisfy the defining…
Liouville theory revisited
- Mathematics
- 2001
We try to develop a coherent picture of Liouville theory as a two-dimensional conformal field theory that takes into account the perspectives of the path-integral approach, bootstrap, canonical…