Phases of circle-compactified QCD with adjoint fermions at finite density

Takuya Kanazawa, Mithat Ünsal, Naoki Yamamoto

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study chemical-potential dependence of confinement and mass gap in QCD with adjoint fermions in spacetime with one spatial compact direction. By calculating the one-loop effective potential for the Wilson line in the presence of a chemical potential, we show that a center-symmetric phase and a center-broken phase alternate when the chemical potential in units of the compactification scale is increased. In the center-symmetric phase we use semiclassical methods to show that photons in the magnetic bion plasma acquire a mass gap that grows with the chemical potential as a result of anisotropic interactions between monopole-instantons. For the neutral fermionic sector which remains gapless perturbatively, there are two possibilities at a nonperturbative level: either to remain gapless (unbroken global symmetry) or to undergo a novel superfluid transition through a four-fermion interaction (broken global symmetry). If the latter is the case, this leads to an energy gap of quarks proportional to a new nonperturbative scale L-1exp[-1/(g4μL)], where L denotes the circumference of S1, the low-energy physics is described by a Nambu-Goldstone mode associated with the baryon number, and there exists a new type of BEC-BCS crossover of the diquark pairing as a function of the compactification scale at a small chemical potential.

Original languageEnglish
Article number034022
JournalPhysical Review D
Volume96
Issue number3
DOIs
Publication statusPublished - 2017 Aug 1

Fingerprint

quantum chromodynamics
fermions
circumferences
symmetry
instantons
monopoles
baryons
crossovers
sectors
interactions
quarks
physics
photons
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Phases of circle-compactified QCD with adjoint fermions at finite density. / Kanazawa, Takuya; Ünsal, Mithat; Yamamoto, Naoki.

In: Physical Review D, Vol. 96, No. 3, 034022, 01.08.2017.

Research output: Contribution to journalArticle

@article{b8e64dfd92b54845869edcc44431ded4,
title = "Phases of circle-compactified QCD with adjoint fermions at finite density",
abstract = "We study chemical-potential dependence of confinement and mass gap in QCD with adjoint fermions in spacetime with one spatial compact direction. By calculating the one-loop effective potential for the Wilson line in the presence of a chemical potential, we show that a center-symmetric phase and a center-broken phase alternate when the chemical potential in units of the compactification scale is increased. In the center-symmetric phase we use semiclassical methods to show that photons in the magnetic bion plasma acquire a mass gap that grows with the chemical potential as a result of anisotropic interactions between monopole-instantons. For the neutral fermionic sector which remains gapless perturbatively, there are two possibilities at a nonperturbative level: either to remain gapless (unbroken global symmetry) or to undergo a novel superfluid transition through a four-fermion interaction (broken global symmetry). If the latter is the case, this leads to an energy gap of quarks proportional to a new nonperturbative scale L-1exp[-1/(g4μL)], where L denotes the circumference of S1, the low-energy physics is described by a Nambu-Goldstone mode associated with the baryon number, and there exists a new type of BEC-BCS crossover of the diquark pairing as a function of the compactification scale at a small chemical potential.",
author = "Takuya Kanazawa and Mithat {\"U}nsal and Naoki Yamamoto",
year = "2017",
month = "8",
day = "1",
doi = "10.1103/PhysRevD.96.034022",
language = "English",
volume = "96",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Phases of circle-compactified QCD with adjoint fermions at finite density

AU - Kanazawa, Takuya

AU - Ünsal, Mithat

AU - Yamamoto, Naoki

PY - 2017/8/1

Y1 - 2017/8/1

N2 - We study chemical-potential dependence of confinement and mass gap in QCD with adjoint fermions in spacetime with one spatial compact direction. By calculating the one-loop effective potential for the Wilson line in the presence of a chemical potential, we show that a center-symmetric phase and a center-broken phase alternate when the chemical potential in units of the compactification scale is increased. In the center-symmetric phase we use semiclassical methods to show that photons in the magnetic bion plasma acquire a mass gap that grows with the chemical potential as a result of anisotropic interactions between monopole-instantons. For the neutral fermionic sector which remains gapless perturbatively, there are two possibilities at a nonperturbative level: either to remain gapless (unbroken global symmetry) or to undergo a novel superfluid transition through a four-fermion interaction (broken global symmetry). If the latter is the case, this leads to an energy gap of quarks proportional to a new nonperturbative scale L-1exp[-1/(g4μL)], where L denotes the circumference of S1, the low-energy physics is described by a Nambu-Goldstone mode associated with the baryon number, and there exists a new type of BEC-BCS crossover of the diquark pairing as a function of the compactification scale at a small chemical potential.

AB - We study chemical-potential dependence of confinement and mass gap in QCD with adjoint fermions in spacetime with one spatial compact direction. By calculating the one-loop effective potential for the Wilson line in the presence of a chemical potential, we show that a center-symmetric phase and a center-broken phase alternate when the chemical potential in units of the compactification scale is increased. In the center-symmetric phase we use semiclassical methods to show that photons in the magnetic bion plasma acquire a mass gap that grows with the chemical potential as a result of anisotropic interactions between monopole-instantons. For the neutral fermionic sector which remains gapless perturbatively, there are two possibilities at a nonperturbative level: either to remain gapless (unbroken global symmetry) or to undergo a novel superfluid transition through a four-fermion interaction (broken global symmetry). If the latter is the case, this leads to an energy gap of quarks proportional to a new nonperturbative scale L-1exp[-1/(g4μL)], where L denotes the circumference of S1, the low-energy physics is described by a Nambu-Goldstone mode associated with the baryon number, and there exists a new type of BEC-BCS crossover of the diquark pairing as a function of the compactification scale at a small chemical potential.

UR - http://www.scopus.com/inward/record.url?scp=85029176770&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85029176770&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.96.034022

DO - 10.1103/PhysRevD.96.034022

M3 - Article

VL - 96

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 3

M1 - 034022

ER -