Scaling, asymptotic scaling, and Symanzik improvement: Deconfinement temperature in SU(2) pure gauge theory

Cella, G.; Curci, G; Tripiccione, R.; Viceré, A.

doi:10.1103/physrevd.49.511

Cited by 11 publications

(22 citation statements)

References 26 publications

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“…An interesting final quantity determined by our study is the deconfinement temperature in the chiral/supersymmetric limit. We compare our result to the deconfinement critical temperature of SU(2) YM found in [47] through the ratio…”

Section: Discrete Chiral Symmetry Restoration and Quark Deconfinementmentioning

confidence: 87%

Study of center and chiral symmetry realization in thermal N=1 super Yang-Mills theory using the gradient flow

Bergner¹,

Lopez²,

Piemonte³

2019

Phys. Rev. D

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The realization of center and chiral symmetries in N = 1 super Yang-Mills theory (SYM) is investigated on a four-dimensional Euclidean lattice by means of Monte Carlo methods. At zero temperature this theory is expected to confine external fundamental charges and to have a non-vanishing gaugino condensate, which breaks the non-anomalous Z 2Nc chiral symmetry. In previous studies at finite temperatures, the phase transitions corresponding to deconfinement and chiral restoration were observed to occur at roughly the same critical temperature for SU(2) gauge group. We find further evidences for this observation from new measurements at smaller lattice spacings using the fermion gradient flow, and we discuss the agreement of our findings with conjectures from superstring theory. The implementation of the gradient flow technique allows us also to estimate, for the first time, the condensate at zero temperatures and zero gaugino mass with Wilson fermions.

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Section: Discrete Chiral Symmetry Restoration and Quark Deconfinementmentioning

confidence: 87%

Study of center and chiral symmetry realization in thermal N=1 super Yang-Mills theory using the gradient flow

Bergner¹,

Lopez²,

Piemonte³

2019

Phys. Rev. D

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“…To this end, we can exploit existing calculations presented in literature, see Ref. [34] and summarised in Table 1. The points (β c , N τ ) are fitted using Eq.…”

Section: Fitting the Critical βmentioning

confidence: 99%

“…Note that the value at N τ = 5 has not been considered because it was clearly too far from the interpolating function, perhaps the error cited in Ref. [34] has been underestimated.…”

Section: Fitting the Critical βmentioning

confidence: 99%

Improved thermodynamics of SU(2) gauge theory

Giudice

Piemonte

2017

Eur. Phys. J. C

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In this work we present the results of our investigation of the thermodynamics of SU(2) gauge theory. We employ a Symanzik improved action to reduce strongly the discretisations effects, and we use the scaling relations to take into account the finite volume effects close to the critical temperature. We determine the β-function for this particular theory and we use it in the determination of different thermodynamic observables. Finally we compare our results with previous work where only the standard Wilson action was considered. We confirm the relevance of using the improved action to access easily the correct continuum thermodynamics of the theory.

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“…For a comparison of N = 1 SYM and pure gauge theory, we computed the scale w 0 /a at infinite gluino mass on a lattice 18 4 and β = 1.829. The chosen β is the critical value for the deconfinement transition of pure SU(2) Yang-Mills theory with a Symanzik improved gauge action at N τ = 6 [39]. The measured value of w 0 /a = 1.7649(78) (7.11) leads to w 0 T c = 0.2941(13) (7.12) for pure SU(2) Yang-Mills theory.…”

Section: Jhep11(2014)049mentioning

confidence: 99%

Phase structure of the N=1 $$ \mathcal{N}=1 $$ supersymmetric Yang-Mills theory at finite temperature

Bergner

Giudice

Münster

et al. 2014

J. High Energ. Phys.

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Supersymmetry (SUSY) has been proposed to be a central concept for the physics beyond the standard model and for a description of the strong interactions in the context of the AdS/CFT correspondence. A deeper understanding of these developments requires the knowledge of the properties of supersymmetric models at finite temperatures. We present a Monte Carlo investigation of the finite temperature phase diagram of the N = 1 supersymmetric Yang-Mills theory (SYM) regularised on a space-time lattice. The model is in many aspects similar to QCD: quark confinement and fermion condensation occur in the low temperature regime of both theories. A comparison to QCD is therefore possible. The simulations show that for N = 1 SYM the deconfinement temperature has a mild dependence on the fermion mass. The analysis of the chiral condensate susceptibility supports the possibility that chiral symmetry is restored near the deconfinement phase transition.

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Scaling, asymptotic scaling, and Symanzik improvement: Deconfinement temperature in SU(2) pure gauge theory

Cited by 11 publications

References 26 publications

Study of center and chiral symmetry realization in thermal N=1 super Yang-Mills theory using the gradient flow

Study of center and chiral symmetry realization in thermal N=1 super Yang-Mills theory using the gradient flow

Improved thermodynamics of SU(2) gauge theory

Phase structure of the N=1 $$ \mathcal{N}=1 $$ supersymmetric Yang-Mills theory at finite temperature

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