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Related papers: Analytic Solution of Bremsstrahlung TBA

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We find an exact analytical solution of the Y-system describing a cusped Wilson line in the planar limit of N=4 SYM. Our explicit solution describes anomalous dimensions of this family of observables for any value of the `t Hooft coupling…

High Energy Physics - Theory · Physics 2015-12-15 Nikolay Gromov , Fedor Levkovich-Maslyuk , Grigory Sizov

We derive a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles. We do this by considering a family of local operators on…

High Energy Physics - Theory · Physics 2015-06-04 Diego Correa , Juan Maldacena , Amit Sever

We discuss the near BPS expansion of the generalized cusp anomalous dimension with L units of R-charge. Integrability provides an exact solution, obtained by solving a general TBA equation in the appropriate limit: we propose here an…

High Energy Physics - Theory · Physics 2016-03-23 Marisa Bonini , Luca Griguolo , Michelangelo Preti , Domenico Seminara

We consider the quark anti-quark potential on the three sphere in planar N=4 SYM and the associated vacuum potential in the near BPS limit with L units of R-charge. The associated Bremsstrahlung function B_L has been recently computed…

High Energy Physics - Theory · Physics 2013-05-29 Matteo Beccaria , Guido Macorini

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…

High Energy Physics - Theory · Physics 2015-06-18 Zoltan Bajnok , Janos Balog , Diego H. Correa , Arpad Hegedus , Fidel I. Schaposnik Massolo , Gabor Zsolt Toth

We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony, Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz (TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic Bethe…

High Energy Physics - Theory · Physics 2010-07-06 Nikolay Gromov , Fedor Levkovich-Maslyuk

We present the three-loop calculation of the Bremsstrahlung function associated to the 1/2-BPS cusp in ABJM theory, including color subleading corrections. Using the BPS condition we reduce the computation to that of a cusp with vanishing…

High Energy Physics - Theory · Physics 2017-09-13 Marco S. Bianchi , Luca Griguolo , Andrea Mauri , Silvia Penati , Michelangelo Preti , Domenico Seminara

Inspired by recent results in the context of AdS/CFT integrability, we reconsider the Thermodynamic Bethe Ansatz equations describing the 1D fermionic Hubbard model at finite temperature. We prove that the infinite set of TBA equations are…

High Energy Physics - Theory · Physics 2015-06-04 Andrea Cavaglià , Martina Cornagliotto , Massimo Mattelliano , Roberto Tateo

We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising…

High Energy Physics - Theory · Physics 2011-02-11 R. M. Ellem , V. V. Bazhanov

We present a method of removing all infinite sums from the various forms of the mirror TBA equations and the energy formula of the AdS/CFT spectral problem. This new formulation of the TBA system is quasi-local because Y-functions that are…

High Energy Physics - Theory · Physics 2015-05-28 Janos Balog , Arpad Hegedus

We study the spectral problem in deformed supersymmetric quantum mechanics with polynomial superpotential by using the exact WKB method and the TBA equations. We apply the ODE/IM correspondence to the Schr\"odinger equation with an…

High Energy Physics - Theory · Physics 2024-03-25 Katsushi Ito , Hongfei Shu

We study in detail the analytic properties of the Thermodynamic Bethe Ansatz (TBA) equations for the anomalous dimensions of composite operators in the planar limit of the 3D N=6 superconformal Chern-Simons gauge theory and derive…

High Energy Physics - Theory · Physics 2015-06-16 Andrea Cavaglia' , Davide Fioravanti , Roberto Tateo

We give a derivation of quantum spectral curve (QSC) - a finite set of Riemann-Hilbert equations for exact spectrum of planar N=4 SYM theory proposed in our recent paper Phys.Rev.Lett. 112 (2014). We also generalize this construction to all…

High Energy Physics - Theory · Physics 2015-10-14 Nikolay Gromov , Vladimir Kazakov , Sebastien Leurent , Dmytro Volin

The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) L\"uscher-type corrections for large volumes of the vacuum energy for integrable theories with…

High Energy Physics - Theory · Physics 2015-05-30 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie

We study the thermodynamic behaviour of Inozemtsev's long-range elliptic spin chain using the Bethe ansatz equations describing the spectrum of the model in the infinite-length limit. We classify all solutions of these equations in that…

Mathematical Physics · Physics 2016-04-12 Rob Klabbers

We derive traditional thermodynamic Bethe ansatz (TBA) equations for the sl(r+1) Uimin-Sutherland model from the T-system of the quantum transfer matrix. These TBA equations are identical to the ones from the string hypothesis. Next we…

Statistical Mechanics · Physics 2008-11-26 Zengo Tsuboi

The thermodynamic Bethe Ansatz equations arising in the context of the $AdS_5/CFT_4$ correspondence exhibit an important difference with respect to their analogues in relativistic integrable quantum field theories: their solutions (the Y…

High Energy Physics - Theory · Physics 2011-03-03 Andrea Cavaglià , Davide Fioravanti , Massimo Mattelliano , Roberto Tateo

We present a new formalism, alternative to the old TBA-like approach, for solution of the spectral problem of planar N = 4 SYM. It takes a concise form of a non-linear matrix Riemann-Hilbert problem in terms of a few Q-functions. We…

High Energy Physics - Theory · Physics 2014-01-15 Nikolay Gromov , Vladimir Kazakov , Sebastien Leurent , Dmytro Volin

We consider the field theory describing the scaling limit of the Potts quantum spin chain using a combination of two approaches. The first is the renormalized truncated conformal space approach (TCSA), while the second one is a new…

High Energy Physics - Theory · Physics 2014-09-11 M. Lencses , G. Takacs

Some years ago, Fendley found an explicit solution to Thermodynamic Bethe Ansatz (TBA) equation for a N=2 supersymmetric theory in 2D with a specific F-term. Motivated by this, we seek for explicit solutions for other super-potential cases…

Mathematical Physics · Physics 2015-05-20 Junji Suzuki
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