Chiral condensate in the deconfined phase of quenched gauge theories

Edwards, Robert G.; Heller, Urs M.; Kiskis, Joe; Narayanan, Rajamani

doi:10.1103/physrevd.61.074504

Cited by 84 publications

(139 citation statements)

References 37 publications

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“…In fact, in equilibrium configurations there is a small number of (exceptional) near-zero modes seen. This has been first discovered in [19] and recently confirmed in [12]. With increasing temperature, they become more and more separated from the rest of the spectrum (bulk) by the emerging gap and are decreasing in multiplicity [12].…”

Section: Overlap Fermion Spectramentioning

confidence: 94%

Dyonic picture of topological objects in the deconfined phase

et al. 2009

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In the deconfinement phase of quenched SU (2) Yang-Mills theory the spectrum and localization properties of the eigenmodes of the overlap Dirac operator with antiperiodic boundary conditions are strongly dependent on the sign of the average Polyakov loop, L . For L > 0 a gap appears with only few, highly localized topological zero and near-zero modes separated from the rest of the spectrum. Instead of a gap, for L < 0 a high spectral density of relatively delocalized near-zero modes is observed. In an ensemble of positive L , the same difference of the spectrum appears under a change of fermionic boundary conditions. We argue that this effect and other properties of near-zero modes can be explained through the asymmetric properties and the different abundance of dyons and antidyons -topological objects also known to appear, however in a symmetric form, in the confinement phase at T < Tc as constituents of calorons with maximally nontrivial holonomy.

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Section: Overlap Fermion Spectramentioning

confidence: 94%

Dyonic picture of topological objects in the deconfined phase

et al. 2009

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“…in Refs. [11,10,12,1,19,20,21,2]. Important additional ingredient is provided by the recent finding that presence of light dynamical quarks, without any thermal agitation, also leads to anomalous phases at sufficiently large number of flavors [2,13].…”

Section: Confinement and Anomalous Spectralmentioning

confidence: 99%

“…(v) Bimodality in ρ(λ) was first observed on N f =0 backgrounds [11] above deconfinement temperature T c . However, its cutoff dependencies have not been systematically studied amidst suspicions (see e.g.…”

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confidence: 99%

Phases ofSU(3)gauge theories with fundamental quarks via Dirac spectral density

Alexandru

Horváth

2015

Phys. Rev. D

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We propose that, in SU(3) gauge theories with fundamental quarks, confinement can be inferred from spectral density of the Dirac operator. This stems from the proposition that its possible behaviors are exhausted by three distinct types (Fig.1). The monotonic cases are standard and entail confinement with valence chiral symmetry breaking (A) or the lack of both (C,C'). The bimodal (anomalous) option (B) was frequently regarded as an artifact (lattice or other) in previous studies, but we show for the first time that it persists in the continuum limit, and conclude that it informs of a non-confining phase with broken valence chiral symmetry. This generalization rests on the following. (α) We show that bimodality in N f =0 theory past deconfinement temperature T c is stable with respect to removal of both infrared and ultraviolet cutoffs, indicating that anomalous phase is not an artifact. (β) We demonstrate that transition to bimodality in N f =0 is simultaneous with the loss of confinement: anomalous phase occurs for T c < T < T ch , where T ch is the valence chiral restoration temperature. (γ) Evidence is presented for thermal anomalous phase in N f =2+1 QCD at physical quark masses, whose onset too coincides with the conventional "crossover T c ". We conclude that the anomalous regime T c < T < T ch is very likely a feature of nature's strong interactions. (δ) Our past studies of zero-temperature N f =12 theories revealed that bimodality also arises via purely light-quark effects. As a result, we expect to encounter anomalous phase on generic paths to valence chiral restoration. We predict its existence also for N f massless flavors (T = 0) in the range N c f < N f < N ch f , where N c f could be quite low. Conventional arguments would associate N ch f with the onset of conformal window.

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“…It was shown in Ref. 23,24 that the e + e − → ρππ process dynamics can be described with the a 1 π intermediate state. The SND studies of the e + e − → π + π − π 0 π 0 process 25 agree with this conclusion.…”

Section: B Background Subtractionmentioning

confidence: 99%

Study of the processe+e−→π+π

et al. 2002

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Study of the process e + e − → π + π − π 0 in the energy region √ s from 0.98 to 1.38 GeV. The cross section of the process e + e − → π + π − π 0 was measured in the Spherical Neutral Detector experiment at the VEPP-2M collider in the energy region √ s = 980 ÷ 1380 MeV. The measured cross section, together with the e + e − → π + π − π 0 and ωπ + π − cross sections obtained in other experiments, was analyzed in the framework of the generalized vector meson dominance model. It was found that the experimental data can be described by a sum of ω, φ mesons and two ω ′ and ω ′′ resonances contributions, with masses m ω ′ ∼ 1490, m ω ′′ ∼ 1790 MeV and widths Γ ω ′ ∼ 1210, Γ ω ′′ ∼ 560 MeV. The analysis of the π + π − invariant mass spectra in the energy region √ s from 1100 to 1380 MeV has shown that for their description one should take into account the e + e − → ωπ 0 → π + π − π 0 mechanism also. The phase between the amplitudes corresponding to the e + e − → ωπ and e + e − → ρπ intermediate states was measured for the first time. The value of the phase is close to zero and depends on energy. I. INTRODUCTIONThe cross section of hadron production in the e + e − annihilation in the energy region √ s < 1.03 GeV can be described within the vector meson dominance model (VDM) framework and is determined by the transitions of light vector mesons (ρ, ω, φ) into the final states. The light vector mesons have been studied rather well. They are quark-antiquark qq (q = u, d, s) bound states, and their masses, widths and main decays have been measured with high accuracy 1 . The cross section for hadron production above the φ(1020) resonance ( √ s ≃ 1.03-2 GeV) cannot be described in the conventional VDM framework (taking into account ρ, ω and φ mesons only) indicating the existence of states with vector meson quantum numbers I G (J P C ) = 1 + (1 −− ), 0 − (1 −− ) and with masses of about 1450, 1650 MeV. Parameters of these states are not well established due to inaccurate and conflicting experimental data. The nature of these states is not clear either. In some reviews of experimental data they are considered as a mixture of qq with 4-quark qqqq and hybrid qqg states 2-5 . On the other hand, the experimental data do not contradict *

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Chiral condensate in the deconfined phase of quenched gauge theories

Cited by 84 publications

References 37 publications

Dyonic picture of topological objects in the deconfined phase

Dyonic picture of topological objects in the deconfined phase

Phases ofSU(3)gauge theories with fundamental quarks via Dirac spectral density

Study of the processe+e−→π+π

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