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Title: Extra-dimensional models on the lattice

Abstract

In this paper we summarize the ongoing effort to study extra-dimensional gauge theories with lattice simulations. In these models the Higgs field is identified with extra-dimensional components of the gauge field. The Higgs potential is generated by quantum corrections and is protected from divergences by the higher dimensional gauge symmetry. Dimensional reduction to four dimensions can occur through compactification or localization. Gauge-Higgs unification models are often studied using perturbation theory. Numerical lattice simulations are used to go beyond these perturbative expectations and to include nonperturbative effects. We describe the known perturbative predictions and their fate in the strongly-coupled regime for various extra-dimensional models.

Authors:
 [1];  [2]
  1. Bergische Univ. Wuppertal, Wuppertal (Germany). Dept. of Physics
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Nuclear and Chemical Sciences Div.
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1305851
Report Number(s):
LLNL-JRNL-691819
Journal ID: ISSN 0217-751X; TRN: US1700142
Grant/Contract Number:
AC52-07NA27344
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
International Journal of Modern Physics A
Additional Journal Information:
Journal Volume: 31; Journal Issue: 22; Journal ID: ISSN 0217-751X
Publisher:
World Scientific
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; lattice simulations; extra dimensions; gauge-Higgs unification; symmetry breaking

Citation Formats

Knechtli, Francesco, and Rinaldi, Enrico. Extra-dimensional models on the lattice. United States: N. p., 2016. Web. doi:10.1142/S0217751X16430028.
Knechtli, Francesco, & Rinaldi, Enrico. Extra-dimensional models on the lattice. United States. doi:10.1142/S0217751X16430028.
Knechtli, Francesco, and Rinaldi, Enrico. 2016. "Extra-dimensional models on the lattice". United States. doi:10.1142/S0217751X16430028. https://www.osti.gov/servlets/purl/1305851.
@article{osti_1305851,
title = {Extra-dimensional models on the lattice},
author = {Knechtli, Francesco and Rinaldi, Enrico},
abstractNote = {In this paper we summarize the ongoing effort to study extra-dimensional gauge theories with lattice simulations. In these models the Higgs field is identified with extra-dimensional components of the gauge field. The Higgs potential is generated by quantum corrections and is protected from divergences by the higher dimensional gauge symmetry. Dimensional reduction to four dimensions can occur through compactification or localization. Gauge-Higgs unification models are often studied using perturbation theory. Numerical lattice simulations are used to go beyond these perturbative expectations and to include nonperturbative effects. We describe the known perturbative predictions and their fate in the strongly-coupled regime for various extra-dimensional models.},
doi = {10.1142/S0217751X16430028},
journal = {International Journal of Modern Physics A},
number = 22,
volume = 31,
place = {United States},
year = 2016,
month = 8
}

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Free Publicly Available Full Text
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