论文标题

逆向临界现象理论中的孤子和激体。违反速旋田地因果关系的建议

Solitons and Instantons in the inverse ϕ4 theory of critical phenomena. A proposal for the violation of causality of tachyonic field

论文作者

Contoyiannis, Y., Papadopoulos, P., Kampitakis, M., Hanias, M. P., Stavrinides, S. G.

论文摘要

我们研究了ϕ4理论相变的反向G-L自由能中静态孤子溶液的存在。我们计算这些孤子的所有特征,例如局部结构,有限的能量和质量。我们表明,只有当临界点处于激发状态时,孤子出现在自发对称性破坏(SSB)现象中。当引入时间时,我们表明,SSB的静态孤子作为Minkowski时空中的孤子,而逆G-L自由能的静态孤子转换为欧几里得空间中的Instantons。从Minkowski Solitons到Euclidean Instantons,可能会面临出现在速度领域中的因果关系的侵犯。

We investigate about the existence of static solitons solutions in the inverse G-L free energy in phase transitions of ϕ4 theory. We calculate all the characteristics of these solitons , like localized structure, finite energy and mass . We show that solitons appears in spontaneous symmetry breaking (SSB) phenomenon only if the critical point is in excited state. When the time is introduced we shown that the static solitons of SSB remain as solitons in Minkowski space-time while the static solitons of inverse G-L free energy converted to instantons in Euclidean space. The violation of causality which appears in the tachyonic field could be faced passing from Minkowski solitons to Euclidean instantons.

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