scholarly journals Spontaneous symmetry breaking and linear effective potentials

2012 ◽  
Vol 86 (2) ◽  
Author(s):  
J. Alexandre
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Effective Potentials

scholarly journals Spontaneous symmetry breaking in free theories with boundary potentials

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Vladimir Prochazka ◽  
Alexander Söderberg
Keyword(s):  
Fixed Point ◽  
Symmetry Breaking ◽  
Boundary Conditions ◽  
Spontaneous Symmetry Breaking ◽  
Phase Boundary ◽  
Critical Point ◽  
Effective Potential ◽  
Flow Diagram ◽  
Conformal Boundary ◽  
Effective Potentials

Patterns of symmetry breaking induced by potentials at the boundary of free O(N)O(N)-models in d=3- \epsilond=3−ϵ dimensions are studied. We show that the spontaneous symmetry breaking in these theories leads to a boundary RG flow ending with N - 1N−1 Neumann modes in the IR. The possibility of fluctuation-induced symmetry breaking is examined and we derive a general formula for computing one-loop effective potentials at the boundary. Using the \epsilonϵ-expansion we test these ideas in an O(N)\oplus O(N)O(N)⊕O(N)-model with boundary interactions. We determine the RG flow diagram of this theory and find that it has an IR-stable critical point satisfying conformal boundary conditions. The leading correction to the effective potential is computed and we argue the existence of a phase boundary separating the region flowing to the symmetric fixed point from the region flowing to a symmetry-broken phase with a combination of Neumann and Dirchlet boundary conditions.

Spontaneous symmetry breaking of dislocation core in SrTiO3

2021 ◽  
pp. 100453
Author(s):  
Hetian Chen ◽  
Di Yi ◽  
Ben Xu ◽  
Jing Ma ◽  
Cewen Nan
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Dislocation Core

scholarly journals Tachyons and Solitons in Spontaneous Symmetry Breaking in the Frame of Field Theory

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1358
Author(s):  
Yiannis Contoyiannis ◽  
Michael P. Hanias ◽  
Pericles Papadopoulos ◽  
Stavros G. Stavrinides ◽  
Myron Kampitakis ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Critical Point ◽  
Universality Class ◽  
Lattice Simulation ◽  
Ginzburg Landau ◽  
Spin Lattice ◽  
Nuclear Collisions ◽  
Ising Spin ◽  
Relativistic Nuclear Collisions

This paper presents our study of the presence of the unstable critical point in spontaneous symmetry breaking (SSB) in the framework of Ginzburg–Landau (G-L) free energy. Through a 3D Ising spin lattice simulation, we found a zone of hysteresis where the unstable critical point continued to exist, despite the system having entered the broken symmetry phase. Within the hysteresis zone, the presence of the kink–antikink SSB solitons expands and, therefore, these can be observed. In scalar field theories, such as Higgs fields, the mass of this soliton inside the hysteresis zone could behave as a tachyon mass, namely as an imaginary quantity. Due to the fact that groups Ζ(2) and SU(2) belong to the same universality class, one expects that, in future experiments of ultra-relativistic nuclear collisions, in addition to the expected bosons condensations, structures of tachyon fields could appear.

Spontaneous symmetry breaking and the local freeze-out inTl2+-doped KH2AsO4

1982 ◽  
Vol 25 (1) ◽  
pp. 311-318 ◽  
Author(s):  
G. M. Ribeiro ◽  
L. V. Gonzaga ◽  
A. S. Chaves ◽  
R. Gazzinelli ◽  
R. Blinc ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Freeze Out

Spontaneous symmetry breaking in the Lieb-Mattis model of antiferromagnetism

1990 ◽  
Vol 42 (7) ◽  
pp. 4663-4669 ◽  
Author(s):  
T. A. Kaplan ◽  
W. von der Linden ◽  
P. Horsch
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Mattis Model
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