arXiv 0705.26392007-05-18hep-thhep-ph

Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution

M. Beccaria, Yu. L. Dokshitzer, G. Marchesini

备注：: 18 pages, 1 eps figure
发表信息：: Phys.Lett.B652:194-202,2007
DOI：: 10.1016/j.physletb.2007.07.016

英文摘要：

We consider the bosonic sl(2) sector of the maximally supersymmetric N=4 SYM model and show that anomalous dimension of the twist-3 single-trace composite operators built of scalar fields, recently calculated up to the four-loop order, can be generated by a compact reciprocity respecting evolution kernel.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Double-logs, Gribov-Lipatov reciprocity and wrapping

We study analytical properties of the five-loop anomalous dimension of twist-2 operators at negative even values of Lorentz spin. Following L. N. Lipatov and A. I. Onishchenko, we have found two possible generalizations of double-logarithmic equation, which allow to predict a lot of poles of anomalous dimension of twist-2 operators at all orders of perturbative theory from the known results. Second generalization is related with the reciprocity-respecting function, which is a single-logarithmic function in this case. We have found, that the knowledge of first orders of the reciprocity-respecti…

2011-07-27hep-phhep-th

Four loop reciprocity of twist two operators in N=4 SYM

The four loop universal anomalous dimension of twist-2 operators in N=4 SYM has been recently conjectured. In this paper, we prove that it obeys a generalized Gribov-Lipatov reciprocity, previously known to hold at the three loop level.

2009-02-17hep-th

Reciprocity of higher conserved charges in the sl(2) sector of N=4 SYM

We extend the anlysis of the generalized Gribov-Lipatov reciprocity to the higher conserved charges of type IIB superstring on AdS5 x S5. The property is shown to hold for twist 2, and 3 operators in the sl(2) subsector.

2010-09-28hep-th

Reciprocity of gauge operators in N=4 SYM

A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in N=4 SYM. Here, we consider a class of scaling psu(2,2|4) operators that reduce at one-loop to twist-3 maximal helicity gluonic operators. We extract from the asymptotic long-range Bethe Ansatz a closed expression for the spin dependent anomalous dimension at four loop order and provide a complete proof of reciprocity. We comment about the interplay with possible, yet unknown, wrapping corrections.

2008-04-04hep-th

Reciprocity and integrability in the sl(2) sector of N=4 SYM

We analyze the higher conserved charges of type IIB superstring on AdS5 x S5 from the perspective of a recently discovered generalized Gribov-Lipatov reciprocity. We provide several evidences that reciprocity holds for all the higher charges and not only for the energy. This is discussed in the simple case of twist L=2, and 3 operators in the sl(2) subsector at (a) multi-loop level in weak coupling, (b) classical level at strong coupling for the dual folded string.

2009-10-28hep-th

Generalized Gribov-Lipatov Reciprocity and AdS/CFT

Planar N=4 SYM theory and QCD share the gluon sector, suggesting the investigation of Gribov-Lipatov reciprocity in the supersymmetric theory. Since the AdS/CFT correspondence links N=4 SYM and superstring dynamics on AdS5xS5, reciprocity is also expected to show up in the quantum corrected energies of certain classical string configurations dual to gauge theory twist-operators. We review recent results confirming this picture and revisiting the old idea of Gribov-Lipatov reciprocity as a modern theoretical tool useful for the study of open problems in AdS/CFT.

2010-02-18hep-th

更多相关论文收起更多论文

Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM

We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(2) subsector. They can be identified at one-loop with three gluon operators. At strong coupling, they are associated with spinning strings with two spins in AdS5. We exploit the Y-system to compute the leading weak-coupling four loop wrapping correction to their anomalous dimension. The result is written in closed form as a function of the spin N. We combine the wrapping correction with the known four-loop asymptotic Bethe Ansatz contribution and analyze special limits in the spin N. In particular, …

2011-05-18hep-th

玻色高斯系统中的对称性与非对称性：一个资源理论框架

Symmetry and Asymmetry in Bosonic Gaussian Systems: A Resource-Theoretic Framework

该研究建立玻色系统高斯非对称性资源理论，证明高斯对称操作的环境实现方式，提出一族高斯对称动力学下非递增的单调量，并给出Stinespring扩张新方法与Williamson定理扩展等技术成果。

2025-10-29cond-mat.stat-mechhep-thmath-ph

Weyl半金属中反常流体力学输运的弛豫项：基于动理论的研究

Relaxation terms for anomalous hydrodynamic transport in Weyl semimetals from kinetic theory

本文研究了Weyl半金属中反常流体力学输运的弛豫项，发现满足守恒和热力学约束的弛豫必然使系统开放并违反热力学第二定律，这些弛豫可从动理论推导，并得出与文献不同的DC电导率。

2024-01-08cond-mat.mes-hallcond-mat.stat-mechcond-mat.str-el