One-loop QCD spin chain and its spectrum

被引：44
作者：
Beisert, N
Ferretti, G
Heise, R
Zarembo, K
机构：
[1] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, Germany
[2] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
[3] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
[4] Univ Gothenburg, Inst Theoret Phys, S-41296 Gothenburg, Sweden
[5] Chalmers Univ Technol, S-41296 Gothenburg, Sweden
[6] Uppsala Univ, Dept Theoret Phys, S-75108 Uppsala, Sweden
来源：
NUCLEAR PHYSICS B | 2005年 / 717卷 / 1-2期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/j.nuclphysb.2005.04.004
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We study the renormalization of gauge invariant operators in large N-c QCD. We compute the complete matrix of anomalous dimensions to leading order in the 't Hooft coupling and study its eigenvalues. Thinking of the mixing matrix as the Hamiltonian of a generalized spin chain we find a large integrable sector consisting of purely gluonic operators constructed with selfdual field strengths and an arbitrary number of derivatives. This sector contains the true ground state of the spin chain and all the gapless excitations above it. The ground state is essentially the anti-ferromagnetic ground state of a XXX1 spin chain and the excitations carry either a chiral spin quantum number with relativistic dispersion relation or an anti-chiral one with non-relativistic dispersion relation. (c) 2005 Elsevier B.V. All rights reserved.
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页码：137 / 189
页数：53
相关论文
共 91 条
[1]   UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].
AFFLECK, I .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748
[2]   The dilatation operator of N=4 SYM and classical limits of spin chains and matrix models [J].
Agarwal, A ;
Rajeev, SG .
MODERN PHYSICS LETTERS A, 2004, 19 (34) :2549-2568
[3]  
Aharony O., HEPTH0310285
[4]   POLARIZED LEPTON-HADRON SCATTERING IN ASYMPTOTICALLY FREE GAUGE THEORIES [J].
AHMED, MA ;
ROSS, GG .
NUCLEAR PHYSICS B, 1976, 111 (03) :441-460
[5]   THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].
ANDERSON, PW .
SCIENCE, 1987, 235 (4793) :1196-1198
[6]  
ARNAUDON D, MATHPH0411021
[7]  
Arutyunov G, 2004, J HIGH ENERGY PHYS
[8]   EXACT SOLUTION OF THE ISOTROPIC HEISENBERG CHAIN WITH ARBITRARY SPINS - THERMODYNAMICS OF THE MODEL [J].
BABUJIAN, HM .
NUCLEAR PHYSICS B, 1983, 215 (03) :317-336
[9]   EXACT SOLUTION OF THE ONE-DIMENSIONAL ISOTROPIC HEISENBERG CHAIN WITH ARBITRARY SPINS S [J].
BABUJIAN, HM .
PHYSICS LETTERS A, 1982, 90 (09) :479-482
[10]   UNITARY REPRESENTATIONS OF NON-COMPACT SUPERGROUPS [J].
BARS, I ;
GUNAYDIN, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 91 (01) :31-51
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