Interplay between sign problem and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>symmetry in three-dimensional Potts models

Hirakida, Takehiro; Kouno, Hiroaki; Takahashi, Junichi; Yahiro, Masanobu

doi:10.1103/physrevd.94.014011

Cited by 16 publications

(25 citation statements)

References 62 publications

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“…Then the phase structure is much more clear at this value because of the well-definedness of confinement/deconfinement. See also [24,26,[114][115][116][117][118][119][120][121][122][123] for flavor-dependent imaginary chemical potential in which the center symmetry is preserved.…”

Section: Deconfinementmentioning

confidence: 99%

Anomaly matching in QCD thermal phase transition

Yonekura

2019

J. High Energ. Phys.

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We study an 't Hooft anomaly of massless QCD at finite temperature. With the imaginary baryon chemical potential at the Roberge-Weiss point, there is a Z 2 symmetry which can be used to define confinement. We show the existence of a mixed anomaly between the Z 2 symmetry and the chiral symmetry, which gives a strong relation between confinement and chiral symmetry breaking. The anomaly is a parity anomaly in the QCD Lagrangian reduced to three dimensions. It is reproduced in the chiral Lagrangian by a topological term related to Skyrmion charge, matching the anomaly before and after QCD phase transition. The effect of the imaginary chemical potential is suppresssed in the large N expansion, and we discuss implications of the 't Hooft anomaly matching for the nature of QCD phase transition with and without the imaginary chemical potential. Arguments based on universality alone are disfavored, and a first order phase transition may be the simplest possibility if the large N expansion is qualitatively good.

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Section: Deconfinementmentioning

confidence: 99%

Anomaly matching in QCD thermal phase transition

Yonekura

2019

J. High Energ. Phys.

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“…We consider massless N -flavor QCD with color N in four dimensions, which has the vector-like continuous symmetry and discrete axial symmetry, and we show by an explicit calculation that there is a mixed 't Hooft anomaly between those symmetries. Imposing the flavortwisted boundary condition in the compactified direction so that the Z N center symmetry appears (as known as Z N -QCD [33,[45][46][47][48][49][50][51][52][53][54]), the above mixed anomaly turns out to survive at any temperatures and quark chemical potentials. Anomaly matching precludes existence of the trivial phase for massless Z N -QCD.…”

Section: Introductionmentioning

confidence: 99%

Anomaly matching for the phase diagram of massless ZN -QCD

et al. 2018

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We elucidate that the phase diagram of massless N -flavor QCD under ZN flavor-twisted boundary condition (massless ZN -QCD) is constrained by an 't Hooft anomaly involving two-form gauge fields. As a consequence, massless ZN -QCD turns out to realize persistent order at any temperatures and quark chemical potentials, namely, the symmetric and gapped phase is strictly forbidden. This is the first result on the finite-(T, µ) phase diagram in QCD-type theories based on anomaly matching related to center and discrete axial symmetries.

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“…[44] (see also Refs. [45][46][47][48][49][50][51][52][53]). To preserve reflection (in the compactified direction) and charge conjugation symmetries, we also require that complex conjugation leave this set of eigenvalues unchanged.…”

Section: Addition Of Fundamental Quarksmentioning

confidence: 99%

QCD on a small circle

et al. 2017

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QCD-like theories can be engineered to remain in a confined phase when compactified on an arbitrarily small circle, where their features may be studied quantitatively in a controlled fashion. Previous work has elucidated the generation of a non-perturbative mass gap and the spontaneous breaking of chiral symmetry in this regime. Here, we study the rich spectrum of hadronic states, including glueball, meson, and baryon resonances. We find an exponentially growing Hagedorn density of states, as well as the emergence of non-perturbative energy scales given by iterated exponentials of the inverse Yang-Mills coupling g 2 .arXiv:1707.08971v1 [hep-th]

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Interplay between sign problem andZ3symmetry in three-dimensional Potts models

Cited by 16 publications

References 62 publications

Anomaly matching in QCD thermal phase transition

Anomaly matching in QCD thermal phase transition

Anomaly matching for the phase diagram of massless ZN -QCD

QCD on a small circle

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