Chiral symmetry breaking/restoration in a dyonic vacuum

Shuryak, Edward; Sulejmanpašić, Tin

doi:10.1103/physrevd.86.036001

Cited by 33 publications

(61 citation statements)

References 56 publications

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“…[11], which support a connection between localised modes and certain topological objects, namely the monopoleinstantons, which might be responsible for the deconfinement transition (see refs. [26][27][28][29] and references therein). This line of studies certainly deserves further attention.…”

Section: Jhep02(2017)055mentioning

confidence: 99%

Deconfinement, chiral transition and localisation in a QCD-like model

Giordano¹,

Katz²,

Kovács³

et al. 2017

J. High Energ. Phys.

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Abstract:We study the problems of deconfinement, chiral symmetry restoration and localisation of the low Dirac eigenmodes in a toy model of QCD, namely unimproved staggered fermions on lattices of temporal extension N T = 4. This model displays a genuine deconfining and chirally-restoring first-order phase transition at some critical value of the gauge coupling. Our results indicate that the onset of localisation of the lowest Dirac eigenmodes takes place at the same critical coupling where the system undergoes the first-order phase transition. This provides further evidence of the close relation between deconfinement, chiral symmetry restoration and localisation of the low modes of the Dirac operator on the lattice.

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Section: Jhep02(2017)055mentioning

confidence: 99%

Deconfinement, chiral transition and localisation in a QCD-like model

Giordano¹,

Katz²,

Kovács³

et al. 2017

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Above the temperature of the chiral phase transition, T > T χ , there is no quark condensate, and dyons and antidyons pair into neutral "dyon-antidyon molecules" bound through fermion exchanges [15], a situation somewhat reminiscent of the BKT transition [7,8].…”

Section: Dyon Pairing Through Fermion Exchangesmentioning

confidence: 99%

“…It was noted that for large holonomies, when dyons spatially separate, the zero mode is localized on one of the constituent dyon. The zero modes of the individual SU(2) dyons were made explicit in [15]. We discuss their specific expressions in Appendix A.…”

Section: B Quark Effectsmentioning

confidence: 99%

“…For any N c there is only one such dyon. Shuryak and Sulejmanpasic [15] have studied the zero modes, and the simplest effect of the fermions -bindingLL dyon pairs into "molecules", similar to instanton-antiinstanton molecules [23]. In the deformed supersymmetric setting such molecules (called "bions" by the authors) are mostly formed due to periodic adjoint gluinos, although the effects of fundamental quarks was also addressed in [17].…”

Section: Introductionmentioning

confidence: 99%

“…Further investigations by Shuryak et al [15,16] have shown that light fermions cause chiral symmetry breaking in ensembles composed of interacting dyons and antidyons, provided those are dense enough. (In the deformed supersymmetric setting the density is exponentially small by construction, so no chiral symmetry breaking is possible.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Light quarks in the screened dyon-antidyon Coulomb liquid model. II.

2015

Self Cite

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We discuss an extension of the dyon-antidyon liquid model that includes light quarks in the dense center symmetric phase. In this work, like in our previous one, we use the simplest color SU(2) group. We start with a single fermion flavor N f = 1 and explicitly map the model onto a 3-dimensional quantum effective theory with a fermion that is only UV (1) symmetric. We use it to show, in the mean field approximation, that in the dense center symmetric regime leads to the nonzero chiral condensate. We estimate its value and the σ, η meson masses. . We then extend our analysis to arbitrary number of quark flavors N f > 1 and colors Nc > 2 and show that in the dense plasma phase the spontaneous chiral symmetry breaking disappear when N f /Nc ≥ 2. A reorganization of the ensemble into a gas of dyon-antidyon molecules restores chiral symmetry, but may still preserve center symmetry in the linearized approximation.

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String tensions in deformed Yang-Mills theory

Poppitz

2018

J. High Energ. Phys.

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We study k-strings in deformed Yang-Mills (dYM) with SU(N) gauge group in the semiclassically calculable regime on R 3 × S 1 . Their tensions T k are computed in two ways: numerically, for 2 ≤ N ≤ 10, and via an analytic approach using a re-summed perturbative expansion. The latter serves both as a consistency check on the numerical results and as a tool to analytically study the large-N limit. We find that dYM k-string ratios T k /T 1 do not obey the well-known sine-or Casimir-scaling laws. Instead, we show that the ratios T k /T 1 are bound above by a square root of Casimir scaling, previously found to hold for stringlike solutions of the MIT Bag Model. The reason behind this similarity is that dYM dynamically realizes, in a theoretically controlled setting, the main model assumptions of the Bag Model. We also compare confining strings in dYM and in other four-dimensional theories with abelian confinement, notably Seiberg-Witten theory, and show that the unbroken Z N center symmetry in dYM leads to different properties of k-strings in the two theories; for example, a "baryon vertex" exists in dYM but not in softly-broken Seiberg-Witten theory. Our results also indicate that, at large values of N, k-strings in dYM do not become free.

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Chiral symmetry breaking/restoration in a dyonic vacuum

Cited by 33 publications

References 56 publications

Deconfinement, chiral transition and localisation in a QCD-like model

Deconfinement, chiral transition and localisation in a QCD-like model

Light quarks in the screened dyon-antidyon Coulomb liquid model. II.

String tensions in deformed Yang-Mills theory

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