Conformal perturbation theory confronts lattice results in the vicinity of a critical point

Caselle, Michele; Magnoli, Nicodemo; Nada, Alessandro; Panero, Marco; Scanavino, Marcello

doi:10.1103/physrevd.100.034512

Cited by 10 publications

(12 citation statements)

References 100 publications

(80 reference statements)

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“…[122], for an explicit example of application), as recently proposed in Ref. [123]. An interesting issue associated with the description of the critical endpoint of QCD in terms of the three-dimensional Ising model concerns the identification of the lines, in the QCD phase diagram, that describe relevant deformations of the model (see also Ref.…”

Section: Discussionmentioning

confidence: 99%

Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model

2021

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We present an estimate of the behavior of the shear and bulk viscosity coefficients when the QCD critical point is approached from the hadronic side, describing hadronic matter within the statistical bootstrap model of strong interactions. The bootstrap model shows critical behavior near the quark-hadron transition temperature if the parameter characterizing the degeneracy of Hagedorn states is properly chosen. We calculate the critical exponents and amplitudes of relevant thermodynamic quantities near the QCD critical point and combine them with an Ansatz for the shear and bulk viscosity coefficients to derive the behavior of these coefficients near the critical point. The shear viscosity to entropy density ratio is found to decrease when the temperature is increased, and to approach the Kovtun–Son–Starinets bound $$1/(4\pi )$$ 1 / ( 4 π ) faster near the critical point, while the bulk viscosity coefficient is found to rise very rapidly.

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Section: Discussionmentioning

confidence: 99%

Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model

2021

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“…Indeed this approach was already followed in ref. [39] for the mapping between the (3 + 1)-dimensional SU(2) Yang-Mills theory and the Ising model in three dimensions.…”

Section: The Spin-spin Correlator Of the Two-dimensional Ising Modelmentioning

confidence: 99%

Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions

Caristo,

Caselle,

Magnoli

et al. 2021

Preprint

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We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results for Polyakov-loop correlators at finite temperatures close to (and less than) the deconfinement one with the analytical constraints from renormalization-group arguments, from the exact integrability of the two-dimensional Ising model that describes the universality class of the critical point of the theory, from conformal perturbation theory, and from Lorentz invariance, we derive tight quantitative bounds on the corrections to the effective string action beyond the Nambu-Gotō approximation. We show that these corrections are compatible with the predictions derived from a bootstrap analysis of the effective string theory, but are inconsistent with the axionic string Ansatz.

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“…This mapping has been widely used in the past years to predict the behavior of various physical observables of the gauge model near the deconfinement transition, like for instance the short distance behavior of the Polyakov loop Actually it is mapped to the most general Z 2 even Ising observable, which is a mixture of the identity and energy operators, but the identity operator plays no role in this context. correlator [37], the width of the flux tube [38], the Hagedornlike behavior of the glueball spectrum [39] or the behavior of the universal ξ=ξ 2 ratio [40]. More generally the mapping allows one to relate all the thermodynamic observables of the two models and in particular also ΩðηÞ, which can thus be evaluated in the SUð2Þ LGT and then compared with the QFT prediction discussed in the previous section.…”

Section: A the Deconfinement Transition In Thementioning

confidence: 99%

Charting the scaling region of the Ising universality class in two and three dimensions

Caselle

Sorba

2020

Phys. Rev. D

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We study the behavior of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighborhood of the critical point. In three dimensions we address the problem using a parametric representation of the equation of state. In two dimensions we make use of the exact integrability of the model along the thermal and the magnetic axes. Our results can be used as a sort of "reference frame" to chart the critical region of the model. While our results can be applied in principle to any possible realization of the Ising universality class, we address in particular, as specific examples, three instances of Ising behavior in finite temperature QCD related in various ways to the deconfinement transition. In particular, in the last of these examples, we study the critical ending point in the finite density, finite temperature phase diagram of QCD. In this finite density framework, due to the well-known sign problem, Monte Carlo simulations are not possible and thus a direct comparison of experimental results with quantum field theory & statistical mechanics predictions like the one we discuss in this paper may be important. Moreover in this example it is particularly difficult to disentangle "magnetic-like" from "thermal-like" observables and thus an explicit charting of the neighborhood of the critical point can be particularly useful.

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Conformal perturbation theory confronts lattice results in the vicinity of a critical point

Cited by 10 publications

References 100 publications

Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model

Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model

Fine corrections in the effective string describing SU(2) Yang-Mills theory in three dimensions

Charting the scaling region of the Ising universality class in two and three dimensions

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