Improved thermodynamics of SU(2) gauge theory

Giudice, Pietro; Piemonte, Stefano

doi:10.1140/epjc/s10052-017-5392-6

Cited by 19 publications

(26 citation statements)

References 54 publications

(89 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where the two temperatures are compared in dimensionless units as √ t 0 /N c t , and the scale t 0 for pure gauge has been computed in [48]. This value is compatible with our previous investigations in [29] at a smaller β.…”

Section: Discrete Chiral Symmetry Restoration and Quark Deconfinementsupporting

confidence: 86%

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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Discrete Chiral Symmetry Restoration and Quark Deconfinementsupporting

confidence: 86%

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

Self Cite

View full text Add to dashboard Cite

show abstract

“…Zinc borate (ZB) is often used as a flame retardant synergist. [13][14][15] It is reported that zinc borates combined with metal hydroxides can function as a sintering aid of promoting formation of a strong char/ceramic residue, acting as a protecting layer for the underlying polymer. Currently ZB are predominate condensed phase flame retardants and smoke suppressants.…”

Section: Introductionmentioning

confidence: 99%

Flammability and thermal degradation behavior of ethylene‐vinyl acetate/layered double hydroxides/zinc borate composites

Qian

Zhou

Chen

2016

Polymers for Advanced Techs

View full text Add to dashboard Cite

Mg‐Al‐Fe ternary‐layered double hydroxides (LDHs) were synthesized by a calcination‐rehydration method using Bayer red mud. The products were characterized using X‐ray diffraction and thermogravimetric analysis. The flammability and thermal degradation of ethylene‐vinyl acetate/layered double hydroxides/zinc borate (EVA/LDHs/ZB) composites were studied with limiting oxygen index, UL 94, cone calorimeter test, smoke density test, and thermogravimetry‐Fourier transform infrared spectrometry. Although limiting oxygen index value of the composites decreased with increasing ZB amount, a suitable addition of ZB can apparently improve the UL 94 rating of the material. The heat release rate of the 5% ZB containing ternary composites decreased compared with the EVA/LDHs composites. It is obtained from smoke density test that ZB could help smoke suppression. The ternary composites possessed a higher thermal stability than the EVA/LDHs composites. Copyright © 2016 John Wiley & Sons, Ltd.

show abstract

“…The triangle (cyan) symbols in the right panel denote the results of the trace anomaly at N τ = 5 given in Ref. [20]. Now, let us compare our results with the analytic prediction, namely the results of the Hard-Thermal-Loop (HTL) model.…”

Section: Simulation Results: Thermodynamic Quantitiesmentioning

confidence: 82%

“…We also summarize the data in Appendix C. Here, the error bars in the figure and the table denote only statistical errors. As a comparison, the trace anomaly (cyan-triangle 15 symbols) and the entropy density (brown-diamond symbols), which are obtained by the integral method using the improved action [20] at the fixed temporal lattice extent N τ = 5, are also shown in the figure. In T /T c ≥ 1.12, our results including the above three types of systematic errors agree with the results given by the integral method. Note that our statistical errors obtained by a fewer number of configurations are smaller than the ones in the integration methods.…”

Section: Simulation Results: Thermodynamic Quantitiesmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamics for pure SU(2) gauge theory using gradient flow

Hirakida

Itou

Kouno

2019

Progress of Theoretical and Experimental Physics

View full text Add to dashboard Cite

We study the equation of state of pure SU(2) gauge theory using Monte Carlo simulations. The scale-setting of lattice parameters has been carried by using the gradient flow. We propose a reference scale t 0 for the SU(2) gauge theory satisfying t 2 E | t=t0 = 0.1, which is fixed by a natural scaling-down of the standard t 0 -scale for the SU(3) case based on perturbative analyses. We also show the thermodynamic quantities as a function of T /T c , which are derived by the energy-momentum tensor using the small flow-time expansion of the gradient flow. consistent with the most perfect-liquid property rather than the gas [10]. A theoretical large-N c analysis based on AdS/CFT correspondence gives the lower bound for η/s [11], while the 1/N c correction terms to η/s have not yet been determined even for its sign in the finite N c [12]. Although the determination of transport coefficients using the lattice calculations has been developing [13][14][15][16], it is still a challenging subject. The measurement of the correlation function of the energy-momentum tensor (EMT) is the first step to obtain the viscosities, and there are at least three difficulties: (i) the small signal-to-noise ratio of the correlator of EMT, (ii) the definition of the "correct" renormalization of EMT as a conserved quantity on the lattice, (iii) solving an inverse-problem to obtain the spectral function from the correlation function. In fact, the recent study [15] has used more than 6-million configurations to obtain the shear viscosity for one set of lattice parameter in the pure SU(3) gauge theory.Based on these situations, we focus on the pure SU(2) gauge theory, which is a good testing ground for the SU(3) gauge theory since the numerical cost is lower than the one for the SU(3) because of the smallness of the matrix size, nevertheless it has almost the same properties as the SU(3) gauge theory. In addition, the study of SU(2) gauge theory will provide the larger signal of the correction term of 1/N c to η/s because of the smaller N c .Several works have obtained the thermodynamic quantities for the SU(2) gauge theory using the integral method [17-20] on the lattice. A recent work, which mainly focuses on T < T c , shows the consistency with the massive free glueball model [17]. Another one [20], which utilizes the improved gauge action, presents the thermodynamic quantities without taking continuum limit. It is reported that, in intermediate temperature (T c T 5T c ), the scaling law of the trace anomaly of the SU(2) gauge theory has the different behavior from the SU(N c ) gauge theories with N c ≥ 3 as shown in Fig. 1, where the N c -dependence of the trace anomaly (∆/T 4 ) normalized by the pressure in the Stefan-Boltzmann (SB) limit (P SB /T 4 = π 2 (N 2 c − 1)/45) for the SU(N c ) theories is plotted. The results for the SU(2) gauge theories present as the circle (red) symbols, which we precisely determine in this work, and the triangle (cyan) symbols obtained in Ref. [20]. The dashed lines present the interpolating functions of the...

show abstract

Improved thermodynamics of SU(2) gauge theory

Cited by 19 publications

References 54 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

Flammability and thermal degradation behavior of ethylene‐vinyl acetate/layered double hydroxides/zinc borate composites

Thermodynamics for pure SU(2) gauge theory using gradient flow

Contact Info

Product

Resources

About