Spontaneous symmetry breaking in the phase space

被引：5

作者：

Contoyiannis, Y. ^{[1
,2
]}

Stavrinides, S. G. ^{[3
]}

Kampitakis, M. ^{[4
]}

Hanias, M. P. ^{[5
]}

Potirakis, S. M. ^{[1
]}

Papadopoulos, P. ^{[1
]}

机构：

[1] Univ West Attica, Dept Elect & Elect Engn, Athens, Greece

[2] Univ Athens, Dept Phys, Athens, Greece

[3] Int Hellen Univ, Sch Sci & Technol, Thessaloniki, Greece

[4] Hellen Elect Distribut Network Operator SA, Major Network Installat Dept, Athens, Greece

[5] Int Hellen Univ, Dept Phys, Kavala, Greece

来源：

PHYSICA SCRIPTA | 2021年 / 96卷 / 07期

关键词：

poincare maps; phase diagrams; invariant density; lyapunov exponents; spontaneous symmetry breaking; critical point; tachyonic field;

D O I：

10.1088/1402-4896/abf792

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this brief, the spontaneous symmetry breaking (SSB) of the phi(4) theory in phase space, is studied. This phase space results from the appropriate system of Poincare maps, produced in both the Minkowski and the Euclidean time. The importance of discretization in the creation of phase space, is highlighted. A series of interesting, novel, unknown behaviors are reported for the first time; among them the most characteristic is the change in stability. In specific, the stable fixed points of the phi(4) potential appear as unstable ones, in phase space. Additionally, in the Euclidean-time phase space a unique instability in the position of the critical point, can be created. This instability is further proposed to host tachyonic field in Euclidean space.

引用

页数：9

共 19 条

[1] Andreev AY, 1996, USP FIZ NAUK+, V166, P1135, DOI 10.1070/PU1996v039n10ABEH000176
[2] [Anonymous], 1993, CHAOS DYNAMICAL SYST
[3] Fractal geometry of critical systems
Antoniou, NG
Contoyiannis, YF
Diakonos, FK
[J]. PHYSICAL REVIEW E, 2000, 62 (03): : 3125 - 3134
[4] Fractals at T=Tc due to instantonlike configurations
Antoniou, NG
Contoyiannis, YF
Diakonos, FK
Papadopoulos, CG
[J]. PHYSICAL REVIEW LETTERS, 1998, 81 (20) : 4289 - 4292
[5] UV/IR mixing via closed strings and tachyonic instabilities
Armoni, A
Lopez, E
[J]. NUCLEAR PHYSICS B, 2002, 632 (1-3) : 240 - 256
[6] Intermittency-induced criticality in the random telegraph noise of nanoscale UTBB FD-SOI MOSFETs
Contoyiannis, Y.
Potirakis, S. M.
Stavrinides, S. G.
Hanias, M. P.
Tassis, D.
Theodorou, C. G.
[J]. MICROELECTRONIC ENGINEERING, 2019, 216
[7] Signatures of the symmetry breaking phenomenon in pre-seismic electromagnetic emissions
Contoyiannis, Yiannis
Potirakis, Stelios M.
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2018,
[8] de Alwis SP, 2002, PHYS REV D, V66, DOI 10.1103/PhysRevD.66.026005
[9] Dynamics of symmetry breaking and tachyonic preheating -: art. no. 011601
Felder, G
García-Bellido, J
Greene, PB
Kofman, L
Linde, A
Tkachev, I
[J]. PHYSICAL REVIEW LETTERS, 2001, 87 (01)
[10] Tachyonic instability and dynamics of spontaneous symmetry breaking
Felder, G
Kofman, L
Linde, A
[J]. PHYSICAL REVIEW D, 2001, 64 (12):

← 1 2 →