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Title: Higgs mechanism in nonlocal field theories

Abstract

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.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Kobe Univ. (Japan). Faculty of Science
  2. Chulalongkorn Univ., Bangkok (Thailand). Dept. of Physics. Faculty of Science
  3. Kobe Univ. (Japan). Dept. of Physics
  4. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
  5. Heidelberg Univ. (Germany). Inst. for Theoretical Physics
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States); Kobe Univ. (Japan)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Japan Society for the Promotion of Science (JSPS); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan)
OSTI Identifier:
1512410
Grant/Contract Number:  
[SC0017647; JP17H02894; JP18K13539; JP18H04352]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 8]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; spontaneous symmetry breaking; string field theory; tachyon condensation

Citation Formats

Hashi, Manami Noumi, Isono, Hiroshi, Noumi, Toshifumi, Shiu, Gary, and Soler, Pablo. Higgs mechanism in nonlocal field theories. United States: N. p., 2018. Web. doi:10.1007/jhep08(2018)064.
Hashi, Manami Noumi, Isono, Hiroshi, Noumi, Toshifumi, Shiu, Gary, & Soler, Pablo. Higgs mechanism in nonlocal field theories. United States. doi:10.1007/jhep08(2018)064.
Hashi, Manami Noumi, Isono, Hiroshi, Noumi, Toshifumi, Shiu, Gary, and Soler, Pablo. Mon . "Higgs mechanism in nonlocal field theories". United States. doi:10.1007/jhep08(2018)064. https://www.osti.gov/servlets/purl/1512410.
@article{osti_1512410,
title = {Higgs mechanism in nonlocal field theories},
author = {Hashi, Manami Noumi and Isono, Hiroshi and Noumi, Toshifumi and Shiu, Gary and Soler, Pablo},
abstractNote = {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.},
doi = {10.1007/jhep08(2018)064},
journal = {Journal of High Energy Physics (Online)},
number = [8],
volume = [2018],
place = {United States},
year = {2018},
month = {8}
}

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