Differences and similarities between fundamental and adjoint matters in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gauge theories

Kouno, Hiroaki; Misumi, Tatsuhiro; Kashiwa, Kouji; Makiyama, Takahiro; Sasaki, Takahiro; Yahiro, Masanobu

doi:10.1103/physrevd.88.016002

Cited by 36 publications

(50 citation statements)

References 59 publications

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“…In the B = 0 and m = 0, and B = 0 and m = 0, we obtain known results in thermal [19,[24][25][26] and spatial compactification [26,43,44], also see [45,46]. In the large magnetic field limit, this expression reduces to…”

Section: Jhep12(2014)107mentioning

confidence: 63%

QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry

Anber

Ünsal²

2014

J. High Energ. Phys.

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We study the thermal confinement/deconfinement and non-thermal quantum phase transitions or rapid cross-overs in QCD and QCD-like theories in external magnetic fields. At large magnetic fields, while the contribution of gauge fluctuations to Wilson-line potential remains unaltered at one-loop order, the contribution of fermions effectively becomes two lower dimensional and is enhanced by the density of states of the lowest Landau level (LLL). In a spatial compactification and for heavy adjoint fermions, this enhancement leads to a calculable zero temperature quantum phase transition on R 3 × S 1 driven by a competition between the center-destabilizing gauge contribution and center-stabilizing LLL fermions. We also show that at a (formal) asymptotically large magnetic field, the adjoint fermions with arbitrarily large but fixed mass stabilize the center symmetry. This is an exotic case of simultaneous non-decoupling of large mass fermions (due to the enhancement by the LLL density of states) and decoupling from the low energy effective field theory. This observation has important implications for both Hosotani mechanism, for which gauge symmetry "breaking" occurs, and large-N volume independence (Eguchi-Kawai reduction), for which gauge structure is never "broken". Despite sounding almost self-contradictory, we carefully explain the physical scales entering the problem, double-meaning of unbroken center symmetry and how a clash is avoided. We also identify, for both thermal and spatial compactification, the jump in magnetic susceptibility as an order parameter for the deconfinement transition. The predictions of our analysis are testable by using current lattice techniques.

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Section: Jhep12(2014)107mentioning

confidence: 63%

QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry

Anber

Ünsal²

2014

J. High Energ. Phys.

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“…The analytical study on this theory based on the Polyakov-loop extended chiral model [15,16,18] was initiated in ref. [23], which shows that the center symmetry is spontaneously broken at certain temperature, associated by the manifestation of flavor symmetry breaking. Although the chiral model helps understand rough picture of the nonperturbative properties, we cannot fully eliminate the model artifacts.…”

Section: Jhep11(2015)159mentioning

confidence: 99%

“…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%

Lattice study on QCD-like theory with exact center symmetry

Iritani

Itou

Misumi

2015

J. High Energ. Phys.

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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.

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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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Differences and similarities between fundamental and adjoint matters inSU(N)gauge theories

Cited by 36 publications

References 59 publications

QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry

QCD in magnetic field, Landau levels and double-life of unbroken center-symmetry

Lattice study on QCD-like theory with exact center symmetry

QCD on a small circle

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