On phase transitions in a Fermi liquid. II. Transition associated with translational symmetry breaking

1999 ◽  
Vol 25 (5) ◽  
pp. 303-313 ◽  
Author(s):  
A. S. Peletminsky ◽  
S. V. Peletminsky ◽  
Yu. V. Slyusarenko
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Fermi Liquid ◽  
Translational Symmetry

The wavevector star channel and symmetry group

2021 ◽  
Vol 77 (6) ◽  
Author(s):  
Il Hwan Kim ◽  
Kye Ryong Sin ◽  
Jong Ok Pak ◽  
Il Hun Kim ◽  
Kum Ok Jang ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Irreducible Representation ◽  
Symmetry Breaking ◽  
Symmetry Group ◽  
Order Parameter ◽  
Reciprocal Lattice ◽  
Parent Phase ◽  
Translational Symmetry ◽  
Space Group

The concepts of `wavevector star channel' and `wavevector star channel group' are newly defined, which allow the effective study of phase transitions considering directly the translational symmetry breaking in crystals. A method is suggested by which the wavevector star channels can be found using the image of the representation of the translational group. According to this method, the wavevector star channels are found for the 80 Lifschitz stars in the reciprocal lattice. The wavevector star channel group is defined as the set of symmetry elements of the parent phase which leave the star channel invariant, and the wavevector star channel groups with one, two, three and four arms are calculated. It is shown that the complicated symmetry changes in the pyroelectric crystal Pb1−x Ca x TiO3 (PCT) can be described using the new five-component reducible order parameter transformed according to the representation of the wavevector star channel group, rather than the nine-component one based on the theory of the full irreducible representation of the space group.

scholarly journals More on the flavor dependence of mϱ/fπ

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Andrey Yu. Kotov ◽  
Daniel Nogradi ◽  
Kalman K. Szabo ◽  
Lorinc Szikszai
Keyword(s):  
Gauge Theory ◽  
Symmetry Breaking ◽  
Finite Volume ◽  
Continuum Limit ◽  
Low Energy ◽  
Translational Symmetry ◽  
Fundamental Representation ◽  
Staggered Fermions ◽  
Link Type ◽  
Volume Effects

Abstract In previous work, [arXiv:1905.01909], we have calculated the mϱ/fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to Nf = 2, 3, 4, 5, 6 fermions in the fundamental representation. The main result was that this ratio displays no statistically significant Nf-dependence. In the present work we continue the study of the Nf-dependence by extending the simulations to Nf = 7, 8, 9, 10. Along the way we also study in detail the Nf-dependence of finite volume effects on low energy observables and a particular translational symmetry breaking unphysical, lattice artefact phase specific to staggered fermions.

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.

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

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.

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