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

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.

pdflatex, 30 pages, 1 figure

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• String hypothesis for the AdS_5 x S^5 mirror
• Integrability of the AdS_5 x S^5 superstring and its deformations
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• Boundary one-point function, Casimir energy and boundary state formalism in D+1 dimensional QFT
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Cited by in corpus (9)

• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Structure constants at wrapping order
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Cusped Wilson lines in symmetric representations
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Wrapping corrections for non-diagonal boundaries in AdS/CFT
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4