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超引力中的两圈 - 点反常振幅。

Two-loop -point anomalous amplitudes in supergravity.

作者信息

Bern Zvi, Kosower David, Parra-Martinez Julio

机构信息

Mani L. Bhaumik Institute for Theoretical Physics, UCLA Department of Physics and Astronomy, Los Angeles, CA 90095, USA.

Institut de Physique Théorique, CEA, CNRS, Université Paris-Saclay, 91191 Gif-sur-Yvette cedex, France.

出版信息

Proc Math Phys Eng Sci. 2020 Mar;476(2235):20190722. doi: 10.1098/rspa.2019.0722. Epub 2020 Mar 25.

Abstract

We compute the anomalous two-loop four-point amplitudes in pure supergravity, using unitarity and the double-copy construction. We also present all terms determined by four-dimensional cuts in two all-multiplicity two-loop anomalous superamplitudes. This result provides the first two-loop -point gravity amplitude, up to a class of undetermined terms, which we determine completely at four points. We show that a recently proposed finite counterterm cancels these amplitudes to this order. We argue that the counterterm does not spoil the three-loop finiteness of anomalous amplitudes in the theory.

摘要

我们利用幺正性和双拷贝构造计算了纯超引力中反常的两圈四点振幅。我们还给出了在两个全多重性两圈反常超振幅中由四维切割确定的所有项。该结果给出了首项两圈四点引力振幅,直至一类未确定项,我们在四点处完全确定了这些项。我们表明,最近提出的有限抵消项将这些振幅抵消到该阶次。我们认为该抵消项不会破坏该理论中反常振幅的三圈有限性。

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Two-loop -point anomalous amplitudes in supergravity.超引力中的两圈 - 点反常振幅。
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本文引用的文献

1
Two-Loop Five-Point Amplitude in N=4 Super-Yang-Mills Theory.N = 4 超杨-米尔斯理论中的双圈五点振幅
Phys Rev Lett. 2019 Mar 29;122(12):121603. doi: 10.1103/PhysRevLett.122.121603.
2
Canceling the U(1) Anomaly in the S Matrix of N=4 Supergravity.取消 N=4 超引力 S 矩阵中的 U(1) 反常。
Phys Rev Lett. 2018 Sep 7;121(10):101604. doi: 10.1103/PhysRevLett.121.101604.
3
Construction of all N=4 conformal supergravities.所有N = 4共形超引力的构建。
Phys Rev Lett. 2017 Feb 24;118(8):081602. doi: 10.1103/PhysRevLett.118.081602. Epub 2017 Feb 21.
4
Two-Loop Six Gluon All-Plus Helicity Amplitude.双圈六胶子全正螺旋度振幅
Phys Rev Lett. 2016 Aug 5;117(6):061602. doi: 10.1103/PhysRevLett.117.061602. Epub 2016 Aug 4.
5
Ultraviolet properties of N=4 supergravity at four loops.N=4 超引力在四圈中的紫外性质。
Phys Rev Lett. 2013 Dec 6;111(23):231302. doi: 10.1103/PhysRevLett.111.231302. Epub 2013 Dec 3.
6
Absence of three-loop four-point ultraviolet divergences in N=4 supergravity.N=4 超引力中不存在三圈四点紫外发散。
Phys Rev Lett. 2012 May 18;108(20):201301. doi: 10.1103/PhysRevLett.108.201301. Epub 2012 May 15.
8
Perturbative quantum gravity as a double copy of gauge theory.微扰量子引力是规范理论的二重对偶。
Phys Rev Lett. 2010 Aug 6;105(6):061602. doi: 10.1103/PhysRevLett.105.061602. Epub 2010 Aug 3.
9
Ultraviolet behavior of N = 8 supergravity at four loops.N = 8超引力在四圈的紫外行为。
Phys Rev Lett. 2009 Aug 21;103(8):081301. doi: 10.1103/PhysRevLett.103.081301. Epub 2009 Aug 17.

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