Transmutation of nonlocal scale in infinite derivative field theories
Transmutation of nonlocal scale in infinite derivative field theories
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无限导数场论中非局域尺度的嬗变
DOI：
10.1103/physrevd.99.044032
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发表时间：
2018
影响因子：
5
通讯作者：
A. Mazumdar
中科院分区：
文献类型：
--
作者：
L. Buoninfante;A. Ghoshal;G. Lambiase;A. Mazumdar
在本文中，我们将展示一个紫外-红外连接的幽灵自由无限导数场理论的拉格朗日是由指数的整个功能。特别是，对于N点振幅，在红外线中从紫外线中出现了新的尺度，即，M-eff类似于M-s / N-alpha，其中M-s是标准模型之外的基本尺度，alpha > 0取决于整个函数的具体选择，以及我们是否考虑零或非零外部动量。我们将首先考虑一个具有立方相互作用的标量玩具模型，然后考虑一个受无幽灵无穷导数引力理论启发的标量玩具模型。我们将简要地讨论一些唯象的含义，如使非局域区域在红外宏观。
In this paper we will show an ultraviolet-infrared connection for ghost-free infinite derivative field theories where the Lagrangians are made up of exponentials of entire functions. In particular, for N-point amplitudes a new scale emerges in the infrared from the ultraviolet, i.e., M-eff similar to M-s / N-alpha, where M-s is the fundamental scale beyond the Standard Model and alpha > 0 depends on the specific choice of an entire function and on whether we consider zero or nonzero external momenta. We will illustrate this by first considering a scalar toy model with a cubic interaction and subsequently a scalar toy model inspired by ghost-free infinite derivative theories of gravity. We will briefly discuss some phenomenological implications, such as making the nonlocal region macroscopic in the infrared.
影响因子：
2.9
作者：
R. Woodard
通讯作者：
R. Woodard