Symmetry breaking and phase transitions in general statistics

1983 ◽  
Vol 28 (6) ◽  
pp. 1358-1363
Author(s):  
R. Y. Levine ◽  
Y. Tomozawa
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking

scholarly journals Symmetry breaking at high temperatures in large N gauge theories

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Soumyadeep Chaudhuri ◽  
Eliezer Rabinovici
Keyword(s):  
Fixed Point ◽  
Phase Transitions ◽  
Symmetry Breaking ◽  
High Temperatures ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Temperature Limit ◽  
Spontaneous Breaking ◽  
Critical Temperatures ◽  
Weakly Coupled

Abstract Considering marginally relevant and relevant deformations of the weakly coupled (3 + 1)-dimensional large N conformal gauge theories introduced in [1], we study the patterns of phase transitions in these systems that lead to a symmetry-broken phase in the high temperature limit. These deformations involve only the scalar fields in the models. The marginally relevant deformations are obtained by varying certain double trace quartic couplings between the scalar fields. The relevant deformations, on the other hand, are obtained by adding masses to the scalar fields while keeping all the couplings frozen at their fixed point values. At the N → ∞ limit, the RG flows triggered by these deformations approach the aforementioned weakly coupled CFTs in the UV regime. These UV fixed points lie on a conformal manifold with the shape of a circle in the space of couplings. As shown in [1], in certain parameter regimes a subset of points on this manifold exhibits thermal order characterized by the spontaneous breaking of a global ℤ2 or U(1) symmetry and Higgsing of a subset of gauge bosons at all nonzero temperatures. We show that the RG flows triggered by the marginally relevant deformations lead to a weakly coupled IR fixed point which lacks the thermal order. Thus, the systems defined by these RG flows undergo a transition from a disordered phase at low temperatures to an ordered phase at high temperatures. This provides examples of both inverse symmetry breaking and symmetry nonrestoration. For the relevant deformations, we demonstrate that a variety of phase transitions are possible depending on the signs and magnitudes of the squares of the masses added to the scalar fields. Using thermal perturbation theory, we derive the approximate values of the critical temperatures for all these phase transitions. All the results are obtained at the N → ∞ limit. Most of them are found in a reliable weak coupling regime and for others we present qualitative arguments.

Phase Transitions and Continuous Symmetry Breaking

1976 ◽  
Vol 36 (14) ◽  
pp. 804-806 ◽  
Author(s):  
J. Fröhlich ◽  
B. Simon ◽  
T. Spencer
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Continuous Symmetry

scholarly journals Dark matter reflection of particle symmetry

2017 ◽  
Vol 32 (15) ◽  
pp. 1740001 ◽  
Author(s):  
Maxim Yu. Khlopov
Keyword(s):  
Dark Matter ◽  
Phase Transitions ◽  
Symmetry Breaking ◽  
Early Universe ◽  
Topological Defects ◽  
Elementary Particles ◽  
Nonlinear Structures ◽  
The Relationship ◽  
New Particles

In the context of the relationship between physics of cosmological dark matter and symmetry of elementary particles, a wide list of dark matter candidates is possible. New symmetries provide stability of different new particles and their combination can lead to a multicomponent dark matter. The pattern of symmetry breaking involves phase transitions in the very early Universe, extending the list of candidates by topological defects and even primordial nonlinear structures.

scholarly journals On the origin of phase transitions in the absence of symmetry-breaking

2019 ◽  
Vol 516 ◽  
pp. 376-392 ◽  
Author(s):  
Giulio Pettini ◽  
Matteo Gori ◽  
Roberto Franzosi ◽  
Cecilia Clementi ◽  
Marco Pettini
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking

scholarly journals Lessons from topological superfluids: Safe and dangerous routes to antispacetime

2019 ◽  
Vol 50 (5-6) ◽  
pp. 34-37 ◽  
Author(s):  
V.B. Eltsov ◽  
J. Nissinen ◽  
G.E. Volovik
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Transition Rate ◽  
Topological Defects ◽  
Second Order ◽  
Exact Nature ◽  
Adiabatic Processes

All realistic second order phase transitions are undergone at finite transition rate and are therefore non-adiabatic. In symmetry-breaking phase transitions the non-adiabatic processes, as predicted by Kibble and Zurek [1, 2], lead to the formation of topological defects (the so-called Kibble-Zurek mechanism). The exact nature of the resultingdefects depends on the detailed symmetry-breaking pattern.

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