The flux-tube phase transition

Abstract

We consider the phase transition in the "hot" dual long-distances Yang-Mills theory at finite temperature T . This phase transition is associated with a change of symmetry. The dual model is formulated in terms of two-point Wightman functions with equations of motion involving higher derivatives. The effective mass of the dual gauge field is derived as a function of T -dependent gauge coupling constant.

The Critical Point and particle correlations under thermal stochastic influence

“…The Critical Point and particle correlations under thermal stochastic influence Gennady Kozlov of searching CP through the correlations between identical particles with Bose statistics, Bose-Einstein correlations (CBE), where the main object is the stochastic scale L st which defines the effective evolving size of the source of particles in hot excited matter [8]. L st depends on the temperature in the system (bath), the transverse momentum of two correlated particles, and it feels the influence of random stochastic fields parametrised by the function of chaoticity strength ν which goes to zero when CP is approached.…”

“…which is the linear non-homogenious equation, where Here, we have used the fact when CP is approaching, theory becomes conformal provided by the scalar field, the dilaton φ , with the mass m φ . In (3.8), we use m as a mass of (light) hadrons which are in the pattern of CBE; k GL = m φ /m B is the Ginzburg-Landau parameter which can differ the vacuum of type-I ( k GL < 1) from those of type-II ( k GL > 1) in dual Higgs-Abelian gauge model with dual (to non-abelian gluon field A a µ (x)) gauge field B a µ (x) with the mass m B (for details see [8,13]. CP is characterized by k GL → ∞ because of infinite fluctuation length ξ ∼ m −1 B .…”

“…The same result atλ 0 is expected if one uses(3.3). Looking through (3.5) -(3.7)λ can be associated with the coherence function λ (ν), introduced in (2.1), where[8]…”