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

被引:7
作者
Contoyiannis, Yiannis [1 ,2 ]
Hanias, Michael P. [3 ]
Papadopoulos, Pericles [1 ]
Stavrinides, Stavros G. [4 ]
Kampitakis, Myron [5 ]
Potirakis, Stelios M. [1 ]
Balasis, Georgios [6 ]
机构
[1] Univ West Attica, Dept Elect & Elect Engn, Athens 12244, Greece
[2] Univ Athens, Dept Phys, Athens 15784, Greece
[3] Int Hellen Univ, Dept Phys, Kavala 65404, Greece
[4] Int Hellen Univ, Sch Sci & Technol, Thessaloniki 57001, Greece
[5] Hellen Elect Distribut Network Operator SA, Network Major Installat Dept, 72 Athinon Ave, Faliro 18547, Greece
[6] Natl Observ Athens Metaxa & Vasileos Pavlou, Inst Astron Astrophys Space Applicat & Remote Sen, Athens 15236, Greece
来源
SYMMETRY-BASEL | 2021年 / 13卷 / 08期
关键词
Ginzburg-Landau free energy; phi(4) theory in phase transitions; tachyons; solitons; critical point of quantum chromo-dynamics (QCD); LATTICE;
D O I
10.3390/sym13081358
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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 Z(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.
引用
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页数:11
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