Twist-three at five loops, Bethe ansatz and wrapping

被引：48
作者：
Beccaria, Matteo [1 ,2 ]
Forini, Valentina [3 ]
Lukowski, Tomasz [4 ]
Zieme, Stefan [3 ,5 ]
机构：
[1] Salento Univ, Dept Phys, I-73100 Lecce, Italy
[2] Salento Univ, Sez INFN, I-73100 Lecce, Italy
[3] Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Potsdam, Germany
[4] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland
[5] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2009年 / 03期
关键词：
AdS-CFT Correspondence; Integrable Field Theories; Bethe Ansatz; YANG-MILLS; ANOMALOUS DIMENSIONS; BAXTER EQUATION; EVOLUTION; QCD;
D O I：
10.1088/1126-6708/2009/03/129
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 present a formula for the five-loop anomalous dimension of N = 4 SYM twist-three operators in the sl(2) sector. We obtain its asymptotic part from the Bethe Ansatz and finite volume corrections from the generalized Luscher formalism, considering scattering processes of spin chain magnons with virtual particles that travel along the cylinder. The complete result respects the expected large spin scaling properties and passes non-trivial tests including reciprocity constraints. We analyze the pole structure and find agreement with a conjectured resummation formula. In analogy with the twist two anomalous dimension at four-loops wrapping effects are of order (log(2) M/M-2) for large values of the spin.
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页数：21
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