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      Critical exponents of the quark-gluon bags model with the critical endpoint

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          Abstract

          The critical indices \alpha', \beta, \gamma' and \delta of the Quark Gluon Bags with Surface Tension Model that has the critical endpoint are calculated and compared with the exponents of other models. These indices are expressed in terms of the most general parameters of the model. Despite the usual expectations the found critical indices do not depend on the Fisher exponent \tau and on the parameter \varkappa which relates the mean bag surface to its volume. The scaling relations for the obtained critical exponents are verified and it is demonstrated that for the standard definition of the index \alpha' the Fisher and the Griffiths scaling inequalities are not fulfilled in general case, whereas the Liberman scaling inequality is always obeyed. This is not surprising for the phase diagram with the asymmetric properties of pure phases, but the present model also provides us with the first and explicit example that the specially defined index \alpha'_s does not recover the scaling relations as well. Therefore, here we suggest the physically motivated definition of the index \alpha' = \alpha'_c and demonstrate that such a definition recovers the Fisher scaling inequality, while it is shown that the Griffiths inequality should be generalized for the phase diagram with the asymmetric properties. The critical exponents of several systems that belong to different universality classes are successfully described by the parameters of the present model and hence its equation of state can be used for a variety of practical applications.

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          Remarks on the chiral phase transition in chromodynamics

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            Signatures of the Tricritical Point in QCD

            Several approaches to QCD with two massless quarks at finite temperature T and baryon chemical potential mu suggest the existence of a tricritical point on the boundary of the phase with spontaneously broken chiral symmetry. In QCD with massive quarks there is then a critical point at the end of a first order transition line. We discuss possible experimental signatures of this point, which provide information about its location and properties. We propose a combination of event-by-event observables, including suppressed fluctuations in T and mu and, simultaneously, enhanced fluctuations in the multiplicity of soft pions.
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              Critical indices from perturbation analysis of the Callan-Symanzik equation

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                Author and article information

                Journal
                16 November 2012
                Article
                10.1103/PhysRevE.86.061107
                1211.3815
                1fe8476e-8c71-494e-a517-4e415a2b5c30

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Phys. Rev. E 86 (2012) 061107-1 --061107-13
                Accepted for publication in PRE, 14 pages, 1 figure
                nucl-th

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