Higgs mechanism in nonlocal field theories

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

doi:10.1007/jhep08(2018)064

Higgs mechanism in nonlocal field theories

Journal Article · Mon Aug 13 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2018)064· OSTI ID:1512410

Hashi, Manami Noumi ^[1]; Isono, Hiroshi ^[2]; Noumi, Toshifumi ^[3]; Shiu, Gary ^[4]; Soler, Pablo ^[5]

Kobe Univ. (Japan). Faculty of Science; None
Chulalongkorn Univ., Bangkok (Thailand). Dept. of Physics. Faculty of Science
Kobe Univ. (Japan). Dept. of Physics
Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
Heidelberg Univ. (Germany). Inst. for Theoretical Physics

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.

View Accepted Manuscript (DOE)

Research Organization:: Kobe Univ. (Japan); Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: Japan Society for the Promotion of Science (JSPS); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0017647

OSTI ID:: 1512410

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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