Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited

Kouji Kashiwa, Tatsuhiro Misumi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We investigate the phase structure of SU(3) gauge theory in four and five dimensions with one compact dimension by using perturbative one-loop and PNJL-model- based effective potentials, with emphasis on spontaneous gauge symmetry breaking. When adjoint matter with the periodic boundary condition is introduced, we have rich phase structure in the quark-mass and compact-size space with gauge-symmetry-broken phases, called the SU(2) × U(1) split and the U(1) × U(1) re-confined phases. Our result is qualitatively consistent with the recent lattice calculations. When fundamental quarks are introduced in addition to adjoint quarks, the split phase becomes more dominant and larger as a result of explicit center symmetry breaking. We also show that another U(1) × U(1) phase (pseudo-reconfined phase) with negative vacuum expectation value of Polyakov loop exists in this case. We study chiral properties in these theories and show that chiral condensate gradually decreases and chiral symmetry is slowly restored as the size of the compact dimension is decreased.

Original languageEnglish
Article number042
JournalJournal of High Energy Physics
Volume2013
Issue number5
DOIs
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

gauge theory
broken symmetry
quarks
condensates
boundary conditions
vacuum
symmetry

Keywords

  • Beyond Standard Model
  • Field Theories in Higher Dimensions
  • Gauge Symmetry
  • Spontaneous Symmetry Breaking

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited. / Kashiwa, Kouji; Misumi, Tatsuhiro.

In: Journal of High Energy Physics, Vol. 2013, No. 5, 042, 2013.

Research output: Contribution to journalArticle

@article{978cf1dcbb794ff487b8cdc284bc5eda,
title = "Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited",
abstract = "We investigate the phase structure of SU(3) gauge theory in four and five dimensions with one compact dimension by using perturbative one-loop and PNJL-model- based effective potentials, with emphasis on spontaneous gauge symmetry breaking. When adjoint matter with the periodic boundary condition is introduced, we have rich phase structure in the quark-mass and compact-size space with gauge-symmetry-broken phases, called the SU(2) × U(1) split and the U(1) × U(1) re-confined phases. Our result is qualitatively consistent with the recent lattice calculations. When fundamental quarks are introduced in addition to adjoint quarks, the split phase becomes more dominant and larger as a result of explicit center symmetry breaking. We also show that another U(1) × U(1) phase (pseudo-reconfined phase) with negative vacuum expectation value of Polyakov loop exists in this case. We study chiral properties in these theories and show that chiral condensate gradually decreases and chiral symmetry is slowly restored as the size of the compact dimension is decreased.",
keywords = "Beyond Standard Model, Field Theories in Higher Dimensions, Gauge Symmetry, Spontaneous Symmetry Breaking",
author = "Kouji Kashiwa and Tatsuhiro Misumi",
year = "2013",
doi = "10.1007/JHEP05(2013)042",
language = "English",
volume = "2013",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "5",

}

TY - JOUR

T1 - Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited

AU - Kashiwa, Kouji

AU - Misumi, Tatsuhiro

PY - 2013

Y1 - 2013

N2 - We investigate the phase structure of SU(3) gauge theory in four and five dimensions with one compact dimension by using perturbative one-loop and PNJL-model- based effective potentials, with emphasis on spontaneous gauge symmetry breaking. When adjoint matter with the periodic boundary condition is introduced, we have rich phase structure in the quark-mass and compact-size space with gauge-symmetry-broken phases, called the SU(2) × U(1) split and the U(1) × U(1) re-confined phases. Our result is qualitatively consistent with the recent lattice calculations. When fundamental quarks are introduced in addition to adjoint quarks, the split phase becomes more dominant and larger as a result of explicit center symmetry breaking. We also show that another U(1) × U(1) phase (pseudo-reconfined phase) with negative vacuum expectation value of Polyakov loop exists in this case. We study chiral properties in these theories and show that chiral condensate gradually decreases and chiral symmetry is slowly restored as the size of the compact dimension is decreased.

AB - We investigate the phase structure of SU(3) gauge theory in four and five dimensions with one compact dimension by using perturbative one-loop and PNJL-model- based effective potentials, with emphasis on spontaneous gauge symmetry breaking. When adjoint matter with the periodic boundary condition is introduced, we have rich phase structure in the quark-mass and compact-size space with gauge-symmetry-broken phases, called the SU(2) × U(1) split and the U(1) × U(1) re-confined phases. Our result is qualitatively consistent with the recent lattice calculations. When fundamental quarks are introduced in addition to adjoint quarks, the split phase becomes more dominant and larger as a result of explicit center symmetry breaking. We also show that another U(1) × U(1) phase (pseudo-reconfined phase) with negative vacuum expectation value of Polyakov loop exists in this case. We study chiral properties in these theories and show that chiral condensate gradually decreases and chiral symmetry is slowly restored as the size of the compact dimension is decreased.

KW - Beyond Standard Model

KW - Field Theories in Higher Dimensions

KW - Gauge Symmetry

KW - Spontaneous Symmetry Breaking

UR - http://www.scopus.com/inward/record.url?scp=84878884032&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878884032&partnerID=8YFLogxK

U2 - 10.1007/JHEP05(2013)042

DO - 10.1007/JHEP05(2013)042

M3 - Article

AN - SCOPUS:84878884032

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 5

M1 - 042

ER -