scholarly journals Renormalization Group and Decoupling in Curved Space: III. The Case of Spontaneous Symmetry Breaking

2004 ◽  
Vol 2004 (02) ◽  
pp. 060-060 ◽  
Author(s):  
Eduard V Gorbar ◽  
Ilya L Shapiro
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Curved Space

Twisted quantum fields in a curved space–time

1978 ◽  
Vol 362 (1710) ◽  
pp. 383-404 ◽  
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Cross Sections ◽  
Vector Bundles ◽  
Scalar Fields ◽  
Space Time ◽  
Complex Scalar ◽  
Curved Space ◽  
Product Vector ◽  
Twisted Fields

Non-trivial space–time topology leads to the possibility of twisted fields viewed as cross sections of non-product vector bundles. For globally hyperbolic space–times twisted real and complex scalar fields are especially interesting, and are in one-to-one correspondence with certain groups determined by the space–time topology. Twisted fields can be quantized and lead to results differing from the usual ones. For example, spontaneous symmetry breaking may be suppressed and regularized vacuum self-energies take on different values. Sets of twisted fields may be collected together into a type of super-multiplet whose size is determined by the space–time topology.

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.

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