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

2013/12/16 by Zoltan Bajnok, Janos Balog, Diego H. Correa +3
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep03(2014)056

pdflatex, 30 pages, 1 figure

arxiv created 2013/12/16 · arxiv updated 2015/06/18

Abstract

The boundary thermodynamic Bethe Ansatz (BTBA) equations introduced in arXiv:1203.1913 and arXiv:1203.1617 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.

Citations

• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Integrable Wilson loops