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We generalize various existing higher-loop Bethe ansaetze for simple sectors of the integrable long-range dynamic spin chain describing planar N=4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary…

高能物理 - 理论 · 物理学 2008-11-26 Niklas Beisert , Matthias Staudacher

In AdS5/CFT4 integrability the Bethe ansatz gives the spectrum of long strings, accurate up to exponentially small corrections. This is no longer true in AdS3, as we demonstrate here by studying Luscher F-terms with a massless particle…

高能物理 - 理论 · 物理学 2016-06-01 Michael C. Abbott , Inês Aniceto

Both for quark flavor asymmetry and valence, we consider the anomalous dimension of the non-singlet twist-two quark operator of arbitrary Lorentz spin N at four loops in SU(nc) color gauge theory and present its term proportional to zeta(3)…

高能物理 - 唯象学 · 物理学 2026-05-12 B. A. Kniehl , V. N. Velizhanin

We compute the full dimension of Konishi operator in planar N=4 SYM theory it for a wide range of couplings, from weak to strong coupling regime, and predict the subleading terms in its strong coupling asymptotics. For this purpose we solve…

高能物理 - 理论 · 物理学 2014-11-20 Nikolay Gromov , Vladimir Kazakov , Pedro Vieira

In this talk we review recent developments which enable us to use techniques of integrable two-dimensional quantum field theories to solve exactly four dimensional N=4 gauge theory through the use of the AdS/CFT correspondence. By `solve'…

高能物理 - 理论 · 物理学 2014-11-20 Romuald A. Janik

We analytically solve the conformal bootstrap equations in the Regge limit for large N conformal field theories. For theories with a parametrically large gap, the amplitude is dominated by spin-2 exchanges and we show how the crossing…

高能物理 - 理论 · 物理学 2018-01-17 Daliang Li , David Meltzer , David Poland

We introduce a method to obtain the analytic solution of the higher-order Baxter equation for twist-two and twist-three operators of planar N=4 SYM. Our result proofs the conjectured formula for the three-loop anomalous dimension of…

高能物理 - 理论 · 物理学 2009-03-12 Anatoly V. Kotikov , Adam Rej , Stefan Zieme

We propose a mechanism for calculating anomalous dimensions of higher-spin twist-two operators in N=4 SYM. We consider the ratio of the two-point functions of the operators and of their superconformal descendants or, alternatively, of the…

高能物理 - 理论 · 物理学 2009-11-11 J. Henn , C. Jarczak , E. Sokatchev

We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS_3 x S^3 x T^4 supported by RR flux. We find that the phase should be different from the BES phase appearing in…

高能物理 - 理论 · 物理学 2013-04-24 M. Beccaria , F. Levkovich-Maslyuk , G. Macorini , A. A. Tseytlin

We study the anomalous dimensions of operators in the scalar sector of \beta-deformed ABJ(M) theories. We show that the anomalous dimension matrix at two-loop order gives an integrable Hamiltonian acting on an alternating SU(4) spin chain…

高能物理 - 理论 · 物理学 2021-01-29 Song He , Jun-Bao Wu

In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f(g), appearing in the dimensions of high-spin operators of the N=4 SYM…

高能物理 - 理论 · 物理学 2008-11-26 M. K. Benna , S. Benvenuti , I. R. Klebanov , A. Scardicchio

We describe a systematic approach for the evaluation of Witten diagrams for multi-loop scattering amplitudes of a conformally coupled scalar $\phi^4$-theory in Euclidean AdS$_4$, by recasting the Witten diagrams as flat space Feynman…

高能物理 - 理论 · 物理学 2022-08-24 Till Heckelbacher , Ivo Sachs , Evgeny Skvortsov , Pierre Vanhove

We argue that existing methods for the perturbative computation of anomalous dimensions and the disentanglement of mixing in N = 4 gauge theory can be considerably simplified, systematized and extended by focusing on the theory's dilatation…

高能物理 - 理论 · 物理学 2011-03-23 N. Beisert , C. Kristjansen , M. Staudacher

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

高能物理 - 理论 · 物理学 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

An important ``observable'' of planar N=4 SYM theory is the scaling function f(lambda) that appears in the anomalous dimension of large spin twist 2 operators and also in the cusp anomaly of light-like Wilson loops. The non-trivial relation…

高能物理 - 理论 · 物理学 2008-11-26 M. Kruczenski , R. Roiban , A. Tirziu , A. A. Tseytlin

We analyse the critical behaviour of anomalous currents in N=1 four-dimensional supersymmetric gauge theories in the context of electric-magnetic duality. We show that the anomalous dimension of the Konishi superfield is related to the…

高能物理 - 理论 · 物理学 2009-10-30 A. Johansen

The one-dimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, we outline the…

高能物理 - 理论 · 物理学 2015-05-20 Matthias Staudacher

The anomalous dimensions of local single trace gauge invariant operators in N=4 supersymmetric Yang-Mills theory can be computed by diagonalizing a long range integrable Hamiltonian by means of perturbative asymptotic Bethe ansatz. This…

高能物理 - 理论 · 物理学 2009-12-10 Joao Penedones , Pedro Vieira

Recently, an all-order conjecture for the anomalous-dimension matrix of n-jet operators in SCET was proposed, which allows one to predict the structure of the infrared divergences of dimensionally regularized, massless gauge-theory…

高能物理 - 唯象学 · 物理学 2011-12-16 Leonardo Vernazza

We study the planar asymptotic dilatation operator of ABJM theory in the SU(2) x SU(2) sector up to eight loops. Combining Bethe Ansatz techniques and N = 2 superspace methods, we are able to fix all the coefficients appearing in the…

高能物理 - 理论 · 物理学 2013-05-29 Andrea Mauri , Alberto Santambrogio , Stefano Scoleri