scholarly journals Deconfining phase transition in a finite volume with massive particles: finite size and finite mass effects

2016 ◽  
Vol 94 (2) ◽  
pp. 180-187 ◽  
Author(s):  
L. Ghenam ◽  
A. Ait El Djoudi ◽  
K. Mezouar
Keyword(s):  
Phase Transition ◽  
Finite Volume ◽  
Size Effects ◽  
Finite Size ◽  
Gluon Plasma ◽  
Finite Mass ◽  
Finite Size Effects ◽  
Strange Quarks ◽  
Mass Effects ◽  
Thermally Driven

We study the deconfining phase transition from a hadronic gas phase consisting of massive pions to a quark–gluon plasma (QGP) phase containing gluons, massless up and down quarks, and massive strange quarks. The two phases are supposed to coexist in a finite volume, and the finite size effects are studied, in the two cases of thermally driven and density driven deconfining phase transitions. Finite-mass effects are also examined, then the color-singletness condition for the QGP is taken into account and finite size effects are investigated in this case also.

scholarly journals Finite-size effects in disordered λφ4 model

2016 ◽  
Vol 30 (30) ◽  
pp. 1650207 ◽  
Author(s):  
R. Acosta Diaz ◽  
N. F. Svaiter
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Power Law ◽  
Order Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Second Order ◽  
Finite Size Effects ◽  
Power Law Decay ◽  
Second Order Phase Transition

We discuss finite-size effects in one disordered [Formula: see text] model defined in a [Formula: see text]-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a quenched random field. In order to obtain the average value of the free energy of the system, we use the replica method. We first discuss finite-size effects in the one-loop approximation in [Formula: see text] and [Formula: see text]. We show that in both cases, there is a critical length where the system develop a second-order phase transition, when the system presents long-range correlations with power-law decay. Next, we improve the above result studying the gap equation for the size-dependent squared mass, using the composite field operator method. We obtain again that the system present a second-order phase transition with long-range correlation with power-law decay.

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