Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion

Zoltán Bajnok (MTA Lendület Holographic QFT Group, Wigner Research Centre, H-1525 Budapest 114, P.O.B. 49, Hungary) ; János Balog (MTA Lendület Holographic QFT Group, Wigner Research Centre, H-1525 Budapest 114, P.O.B. 49, Hungary) ; Diego H. Correa (Instituto de Física La Plata, CONICET, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina) ; Árpád Hegedűs (MTA Lendület Holographic QFT Group, Wigner Research Centre, H-1525 Budapest 114, P.O.B. 49, Hungary) ; Fidel I. Schaposnik Massolo (Instituto de Física La Plata, CONICET, Universidad Nacional de La Plata, C.C. 67, 1900 La Plata, Argentina) ; Gábor Zsolt Tóth (MTA Lendület Holographic QFT Group, Wigner Research Centre, H-1525 Budapest 114, P.O.B. 49, Hungary)

12 March 2014

Abstract: The boundary thermodynamic Bethe Ansatz (BTBA) equations introduced in [1, 2] to describe the cusp anomalous dimension contain imaginary chemical potentials and singular boundary fugacities, which make its systematic expansion problematic. We propose an alternative formulation based on real chemical potentials and additional source terms. We expand our equations to double wrapping order and find complete agreement with the direct two-loop gauge theory computation of the cusp anomalous dimension.


Published in: JHEP 1403 (2014) 056
Published by: Springer/SISSA
DOI: 10.1007/JHEP03(2014)056
arXiv: 1312.4258
License: CC-BY-4.0



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