Quantum integrability in (super) Yang-Mills theory on the light-cone

被引:47
作者
Belitsky, AV [1 ]
Derkachov, SÉ
Korchemsky, GP
Manashov, AN
机构
[1] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
[2] Ruhr Univ Bochum, Inst Theoret Phys 2, D-44780 Bochum, Germany
[3] St Petersburg State Univ, Dept Theoret Phys, St Petersburg 199034, Russia
[4] Univ Paris 11, Phys Theor Lab, CNRS, UMR 8627, F-91405 Orsay, France
关键词
D O I
10.1016/j.physletb.2004.04.092
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N = 4 YangMills theory it exhausts all Wilson operators of the maximal Lorentz spin while in nonsupersymmetric Yang-Mills theory it is restricted to the sector of maximal helicity gluonic operators. We show that the dilatation operator in all Ar-extended super-Yang-Mills theories is given by the same integral operator which acts on the (N+I)-dimensional superspace and is invariant under the SL(2\N) superconformal transformations. We construct the R-matrix on this space and identify the dilatation operator as the Hamiltonian of the Heisenberg SL(2\N) spin chain. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:385 / 401
页数:17
相关论文
共 50 条
[41]   Light-cone Yang-Mills mechanics:: SU(2) vs. SU(3) [J].
Gerdt, V. P. ;
Palii, Y. G. ;
Khvedelidze, A. M. .
THEORETICAL AND MATHEMATICAL PHYSICS, 2008, 155 (01) :557-566
[42]   Light-cone Yang-Mills mechanics: SU(2) vs. SU(3) [J].
V. P. Gerdt ;
Y. G. Palii ;
A. M. Khvedelidze .
Theoretical and Mathematical Physics, 2008, 155 :557-566
[43]   THE LIGHT-CONE GAUGE AND THE PRINCIPAL VALUE PRESCRIPTION - WARD IDENTITIES IN YANG-MILLS THEORIES [J].
LEE, HC ;
MILGRAM, MS .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1985, 28 (04) :579-586
[44]   MULTILOOP INTEGRALS, COUNTERTERMS, AND RENORMALIZATION OF YANG-MILLS THEORIES IN THE LIGHT-CONE GAUGE - REPLY [J].
GAIGG, P ;
SKARKE, H .
PHYSICAL REVIEW D, 1990, 41 (10) :3278-3278
[45]   Quantum Yang-Mills field theory [J].
Frasca, Marco .
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (01)
[46]   Quantum cosmology from N=4 super Yang-Mills theory [J].
Brevik, I ;
Odintsov, SD .
PHYSICS LETTERS B, 1999, 455 (1-4) :104-108
[47]   Quantum Yang-Mills field theory [J].
Marco Frasca .
The European Physical Journal Plus, 132
[48]   Continuity, deconfinement, and (super) Yang-Mills theory [J].
Erich Poppitz ;
Thomas Schäfer ;
Mithat Ünsal .
Journal of High Energy Physics, 2012
[49]   Continuity, deconfinement, and (super) Yang-Mills theory [J].
Poppitz, Erich ;
Schaefer, Thomas ;
Uensal, Mithat .
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (10)
[50]   Super Yang-Mills theory on lattice and the transformation [J].
Itoh, K ;
Kato, M ;
Sawanaka, H ;
So, H ;
Ukita, N .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2002, 106 :947-949