On factorizable S-matrices, generalized TTbar, and the Hagedorn transition

نویسندگان

چکیده

A bstract We study solutions of the Thermodynamic Bethe Ansatz equations for relativistic theories defined by factorizable S -matrix an integrable QFT deformed CDD factors. Such -matrices appear under generalized TTbar deformations special irrelevant operators. The TBA equations, course, determine ground state energy E ( R ) finite-size system, with spatial coordinate compactified on a circle circumference . limit attention to involving just one kind stable particles, and consider trivial (free fermion or boson) factors two elementary poles regular high asymptotics — “2CDD model”. find that all values parameters (positions poles) exhibit real at greater than certain parameter-dependent value * , which we refer as primary secondary branches. branch is identified standard iterative solution, while unstable against iterations needs be accessed through alternative numerical method known pseudo-arc-length continuation. branches merge “turning point” (a square-root branching point). singularity signals Hagedorn behavior density states theories, feature incompatible Wilsonian notion local originating from UV fixed point, but typical string theories. This qualitatively same QFT.

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2021

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep10(2021)062