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arXiv 1805.02676hep-thastro-ph.COgr-qchep-ph
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非定域场论中的Higgs机制

Higgs Mechanism in Nonlocal Field Theories

Manami Noumi Hashi, Hiroshi Isono, Toshifumi Noumi, Gary Shiu, Pablo Soler

摘要:

我们研究了非定域场论中规范对称性自发破缺和希格斯机制。受弦场论的水平截断作用量的启发,我们考虑了一类非定域场论,其动力学项和质量项都具有达朗伯指数因子。这类修正可以缓和环图的紫外行为,因此不仅在弦论的背景下,而且作为量子引力的另一种方法进行了研究。在本文中,我们认为,这样的非局部理论可能包括一个鬼模附近的非局部尺度的对称性破缺相的粒子谱。这与定域场论形成了鲜明的对比,并将成为使简单的非定域模型成为UV完备理论的障碍。然后,我们讨论了一个可能的出路,通过研究非局部理论与额外的对称性,如规范对称性在更高的时空维度。

英文摘要:

We study spontaneous gauge symmetry breaking and the Higgs mechanism in nonlocal field theories. Motivated by the level truncated action of string field theory, we consider a class of nonlocal field theories with an exponential factor of the d'Alembertian attached to the kinetic and mass terms. Modifications of this kind are known to make mild the UV behavior of loop diagrams and thus have been studied not only in the context of string theory but also as an alternative approach to quantum gravity. In this paper we argue that such a nonlocal theory potentially includes a ghost mode near the nonlocal scale in the particle spectrum of the symmetry broken phase. This is in sharp contrast to local field theories and would be an obstruction to making a simple nonlocal model a UV complete theory. We then discuss a possible way out by studying nonlocal theories with extra symmetries such as gauge symmetries in higher spacetime dimensions.

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