Confinement and $\mathbb {Z}_{3}$ symmetry in three-flavor QCD

Kouno, Hiroaki; Makiyama, Takahiro; Sasaki, Takahiro; Sakai, Yuji; Yahiro, Masanobu

doi:10.1088/0954-3899/40/9/095003

Cited by 34 publications

(49 citation statements)

References 107 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[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

View full text Add to dashboard Cite

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]

show abstract

Section: Addition Of Fundamental Quarksmentioning

confidence: 99%

QCD on a small circle

et al. 2017

View full text Add to dashboard Cite

show abstract

“…However, appropriate boundary conditions for quarks enable us to realize such a situation. By imposing three different twisted boundary conditions on the three fundamental quarks (shifted by 2π/3) in the compact imaginary-time direction, we realize center symmetric SU(3) gauge theory with three dynamical quarks in fundamental representation on R 3 × S 1 (Z 3 -QCD model) [20][21][22][23][24]. By investigating this model, we could make progress in elucidating the connection between confining/deconfining and chiral transitions.…”

Section: Jhep11(2015)159mentioning

confidence: 99%

“…(2.5) is invariant under the Z 3 center transformation. We call this exactly-center-symmetric model as Z 3 -QCD model [20][21][22][23][24]. We note that the flavor-dependent twisted boundary condition is translated into the insertion of the flavor-dependent imaginary chemical potential by use of gauge transformation as shown in appendix A. Hereafter, we use f = u, d, s instead of f = 1, 2, 3 as indices for flavor.…”

Section: Jhep11(2015)159mentioning

confidence: 99%

Lattice study on QCD-like theory with exact center symmetry

Iritani

Itou

Misumi

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate QCD-like theory with exact center symmetry, with emphasis on the finite-temperature phase transition concerning center and chiral symmetries. On the lattice, we formulate center symmetric SU(3) gauge theory with three fundamental Wilson quarks by twisting quark boundary conditions in a compact direction (Z 3 -QCD model). We calculate the expectation value of Polyakov loop and the chiral condensate as a function of temperature on 16 3 × 4 and 20 3 × 4 lattices along the line of constant physics realizing m P S /m V = 0.70. We find out the first-order center phase transition, where the hysteresis of the magnitude of Polyakov loop exists depending on thermalization processes. We show that chiral condensate decreases around the critical temperature in a similar way to that of the standard three-flavor QCD, as it has the hysteresis in the same range as that of Polyakov loop. We also show that the flavor symmetry breaking due to the twisted boundary condition gets qualitatively manifest in the high-temperature phase. These results are consistent with the predictions based on the chiral effective model in the literature. Our approach could provide novel insights to the nonperturbative connection between the center and chiral properties.

show abstract

“…(See also [60][61][62][63] for topics related to Z N twisted boundary conditions.) We here omit permutation copies.…”

Section: Z N Twisted Boundary Conditionsmentioning

confidence: 99%

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Misumi

Nitta

Sakai

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

We study classical configurations in the CP N −1 model on R 1 × S 1 with twisted boundary conditions. We focus on specific configurations composed of multiple fractionalized-instantons, termed "neutral bions", which are identified as "perturbative infrared renormalons" byÜnsal and his collaborators. For Z N twisted boundary conditions, we consider an explicit ansatz corresponding to topologically trivial configurations containing one fractionalized instanton (ν = 1/N ) and one fractionalized anti-instanton (ν = −1/N ) at large separations, and exhibit the attractive interaction between the instanton constituents and how they behave at shorter separations. We show that the bosonic interaction potential between the constituents as a function of both the separation and N is consistent with the standard separated-instanton calculus even from short to large separations, which indicates that the ansatz enables us to study bions and the related physics for a wide range of separations. We also propose different bion ansatze in a certain non-Z N twisted boundary condition corresponding to the "split" vacuum for N = 3 and its extensions for N ≥ 3. We find that the interaction potential has qualitatively the same asymptotic behavior and N -dependence as those of bions for Z N twisted boundary conditions.

show abstract

Confinement and $\mathbb {Z}_{3}$ symmetry in three-flavor QCD

Cited by 34 publications

References 107 publications

QCD on a small circle

QCD on a small circle

Lattice study on QCD-like theory with exact center symmetry

Neutral bions in the ℂ $$ \mathbb{C} $$ P N −1 model

Contact Info

Product

Resources

About