scholarly journals Surface tension in the QCD phase transition in the dual Ginzburg-Landau theory

1998 ◽  
Vol 57 (5) ◽  
pp. 2564-2575 ◽  
Author(s):  
H. Monden ◽  
H. Ichie ◽  
H. Suganuma ◽  
H. Toki
Author(s):  
H. Monden ◽  
H. Suganuma ◽  
H. Ichie ◽  
H. Toki

1998 ◽  
Vol 41 (5) ◽  
pp. 547-552 ◽  
Author(s):  
A. P. C Malbouisson ◽  
F. S Nogueira ◽  
N. F Svaiter

Author(s):  
M. Sami ◽  
Radouane Gannouji

Spontaneous symmetry breaking is the foundation of electroweak unification and serves as an integral part of the model building beyond the standard model of particle physics and it also finds interesting applications in the late Universe. We review development related to obtaining the late cosmic acceleration from spontaneous symmetry breaking in the Universe at large scales. This phenomenon is best understood through Ginzburg–Landau theory of phase transitions which we briefly describe. Hereafter, we present elements of spontaneous symmetry breaking in relativistic field theory. We then discuss the “symmetron” scenario-based upon symmetry breaking in the late Universe which is realized by using a specific form of conformal coupling. However, the model is faced with “NO GO” for late-time acceleration due to local gravity constraints. We argue that the problem can be circumvented by using the massless [Formula: see text] theory coupled to massive neutrino matter. As for the early Universe, spontaneous symmetry breaking finds its interesting applications in the study of electroweak phase transition. To this effect, we first discuss in detail the Ginzburg–Landau theory of first-order phase transitions and then apply it to electroweak phase transition including technical discussions on bubble nucleation and sphaleron transitions. We provide a pedagogical exposition of dynamics of electroweak phase transition and emphasize the need to go beyond the standard model of particle physics for addressing the baryogenesis problem. Review ends with a brief discussion on Affleck–Dine mechanism and spontaneous baryogenesis. Appendixes include technical details on essential ingredients of baryogenesis, sphaleron solution, one-loop finite temperature effective potential and dynamics of bubble nucleation.


2021 ◽  
Author(s):  
Vanja Marić ◽  
Gianpaolo Torre ◽  
Fabio Franchini ◽  
Salvatore Giampaolo

Abstract Ginzburg-Landau theory of continuous phase transitions implicitly assumes that microscopic changes are negligible in determining the thermodynamic properties of the system. In this work we provide an example that clearly contrasts with this assumption. In particular, we consider the 2-cluster-Ising model, a one-dimensional spin-1/2 system that is known to exhibit a quantum phase transition between a magnetic and a nematic phase. By imposing boundary conditions that induce topological frustration we show that local order is completely destroyed on both sides of the transition and that the two thermodynamic phases can only be characterized by string order parameters. Having proved that topological frustration is capable of altering the nature of a system's phase transition, this result is a clear challenge to current theories of phase transitions in complex quantum systems.


1980 ◽  
Vol 35 (1) ◽  
pp. 69-74
Author(s):  
S. Hess

Abstract The anisotropy of the probability distribution function for the unit vector joining two nearest neighbour atoms is characterized by tensorial order parameters. For cubic symmetry, the most relevant tensor is of rank 4. Starting from an ansatz for the dependence of the (specific) internal energy, volume and entropy; the entropy production is calculated which is caused by a temporial change of the 4-th rank anisotropy tensor. A constitutive law which guarantees that the entropy production is positive leads to a nonlinear relaxation equation. It shows the features typical for a dynamic Ginzburg-Landau theory. The linearized version of the relaxation equation contains an effective relaxation time and a correlation length which exhibit a temperature dependence typical for a mean field theory. For a special case where the anisotropy tensor can be characterized by a scalar order parameter, the nonlinear relaxation equation is studied in some detail. Its stationary and spatially homogeneous solutions are zero and nonzero values for the order parameter depending on whether the temperature T is larger or smaller than the transition temperature. The unordered phase corresponds to a liquid state, the ordered phase to a simple or body centered cubic crystal. The phase transition is of 1st order. There exist also metastable states.


1991 ◽  
Vol 05 (11) ◽  
pp. 753-762 ◽  
Author(s):  
G. BARBERO ◽  
Z. GABBASOVA ◽  
E. MIRALDI

The surface tension near the critical temperature defining an order phase transition is theoretically analysed in the framework of a Landau theory. The considered medium is supposed to be characterized by a bulk order parameter different from zero below a critical temperature. It is shown that if the surface order parameter is different from the bulk one a non-monotonic trend of the surface tension versus the temperature is to be expected. This result agrees with published experimental data.


1995 ◽  
Vol 10 (29) ◽  
pp. 4179-4185 ◽  
Author(s):  
B. CHAKRABARTI ◽  
T.L. REMA DEVI ◽  
A. BHATTACHARYA

The anomalous behavior of the thermodynamic co-ordinates along with the hadronic critical temperature (Tc) is studied and the properties of the surrounding vacuum are investigated in the framework of the Ginzburg-Landau theory of superconductivity, with interesting conclusions.


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