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• W3211041903 abstract "Abstract We study the thermodynamic Bethe ansatz (TBA) equations for pure <?CDATA $Tbar{T}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mi>T</mml:mi> <mml:mrow> <mml:mover accent=true> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:math> perturbations of some simple integrable quantum field theories with a single bosonic or fermionic particle, in particular the massive sinh-Gordon model and its ultraviolet (UV) limit which is a deformation of the conformally invariant free massless boson. Whereas the TBA equations for <?CDATA $Tbar{T}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mi>T</mml:mi> <mml:mrow> <mml:mover accent=true> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:math> deformations of massive theories are in principle known, the TBA equations we propose for the deformations of conformal field theories are relatively new and require a special factorization in rapidity variables of the CDD factor for the scattering of the massless particles. The latter TBA equations can be solved exactly and reproduce the known results for the ground state energy on a cylinder of circumference R which were previously obtained using different methods based for instance on the Burgers differential equation. Special attention is paid to the c -theorem in this context which is discussed in some detail. For positive infra-red central charge c IR , for flows consistent with the c -theorem the ground state energy develops a (previously known) square-root singularity toward the UV, which strongly suggests the theories are UV incomplete in these physically important cases. We suggest that the singularity indicates a tachyonic vacuum instability. Other cases with c IR < 0 do not have this singularity are interpreted as being UV complete with c UV = 0. We extend our results to a continuously variable c IR by introducing a chemical potential and suggest this as a possible toy model for the <?CDATA $Tbar{T}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mi>T</mml:mi> <mml:mrow> <mml:mover accent=true> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:math> perturbed Liouville theory." @default.
• W3211041903 created "2021-11-08" @default.
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• W3211041903 date "2022-04-01" @default.
• W3211041903 modified "2023-10-16" @default.
• W3211041903 title "Thermodynamics of TT¯ perturbations of some single particle field theories" @default.
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• W3211041903 doi "https://doi.org/10.1088/1751-8121/ac331f" @default.
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