Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz

Abstract

We construct an effective Quantum Field Theory for the wrapping effects in 1+1 dimensional models of factorised scattering. The recently developed graph-theoretical approach to TBA gives the perturbative desctiption of this QFT. For the sake of simplicity we limit ourselves to scattering matrices for a single neutral particle and no bound state poles, such as the sinh-Gordon one. On the other hand, in view of applications to AdS/CFT, we do not assume that the scattering matrix is of difference type. The effective QFT involves both bosonic and fermionic fields and possesses a symmetry which makes it one-loop exact. The corresponding path integral localises to a critical point determined by the TBA equation.

arXiv comment22 pages, 4 figures, typos corrected

References in corpus (30)

• Review of AdS/CFT Integrability: An Overview
• Quantum spectral curve for AdS_5/CFT_4
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• Free Field Representation For Massive Integrable Models
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Non linear integral equation and excited--states scaling functions in the sine-Gordon model
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• On the spectrum of the Sinh-Gordon model in finite volume
• Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
• Structure constants at wrapping order
• On one-point functions for sinh-Gordon model at finite temperature
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• Determinant formula for the octagon form factor in $\mathcal{N}$=4 SYM
• On the Thermodynamic Bethe Ansatz Equation in Sinh-Gordon Model
• Finite temperature expectation values of local fields in the sinh-Gordon model
• Equations of state in generalized hydrodynamics
• Octagons I: Combinatorics and Non-Planar Resummations
• The Octagon as a Determinant
• On O(1) contributions to the free energy in Bethe Ansatz systems: the exact g-function
• Boundary TBA, trees and loops
• O(1) contribution of saddle point fluctuations to the free energy of Bethe Ansatz systems
• Diagonal finite volume matrix elements in the sinh-Gordon model
• Partition Function for a 1-D delta-function Bose Gas
• Graphical representation of the partition function for a 1-D delta-function Bose gas
• On the normalization of the partition function of Bethe Ansatz systems
• Direct Calculation of Thermodynamic Quantities for Heisenberg Model
• Lectures on Three-point Functions in N=4 Supersymmetric Yang-Mills Theory

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