Fizika Nizkikh Temperatur: Volume 44, Number 12 (December 2018), p. 1673-1677    ( to contents , go back )

Gauge principle and spontaneous symmetry breaking

V.F. Klepikov

Институт электрофизики и радиационных технологий НАН Украины ул. Чернышевская, 28, а/я 8812, Харьков, 61002, Украина
E-mail: vfklepikov@ukr.net

Received Jule 17, 2018, published online October 26, 2018

Abstract

The spatially modulated states of the order parameter fields as gauge (compensating) fields are considered. It is shown that in infinite physical systems inhomogeneous vacuum arises only due to the introduction of higher derivatives (for scalar fields) into Lagrangians. Possible phase transitions in systems with higher derivatives are investigated. Discrete variants of the spontaneous supersymmetry breaking in classical fields theories with higher derivatives are discussed.

Key words: gauge principle, spontaneous discrete supersymmetry breacking.

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