Twist-2 at seven loops in planar N=4 SYM theory: full result and analytic properties

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作者
Marboe, Christian [1 ,2 ,3 ]
Velizhanin, Vitaly [2 ,3 ,4 ]
机构
[1] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland
[2] Humboldt Univ, IRIS Adlershof, Inst Math, Zum Grossen Windkanal 6, D-12489 Berlin, Germany
[3] Humboldt Univ, IRIS Adlershof, Inst Phys, Zum Grossen Windkanal 6, D-12489 Berlin, Germany
[4] Petersburg Nucl Phys Inst, NRC Kurchatov Inst, Theoret Phys Div, St Petersburg 188300, Russia
来源
关键词
Extended Supersymmetry; Integrable Field Theories; Renormalization Group; GAUGE-THEORIES; OPERATORS;
D O I
10.1007/JHEP11(2016)013
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
The anomalous dimension of twist-2 operators of arbitrary spin in planar N = 4 SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the LLL-algorithm together with modular arithmetic. The result of the analytic continuation to negative spin is presented, and its relation with the recently computed correction to the BFKL and double-logarithmic equation is discussed.
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页数:18
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