Special Issue "Modern Application of Symmetry Principles to High Energy Physics"

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: 30 June 2020.

Special Issue Editor

Prof. Dr. Vitalii A. Okorokov
E-Mail Website
Guest Editor
National Research Nuclear University MEPhI (NRNU MEPhI)
Interests: strong-interaction physics; relativistic nuclear collisions; elastic nucleon-nucleon scattering

Special Issue Information

Dear Colleagues,

The notion of symmetry is one of the most fundamental and important conceptions in the fundamental science in general and, especially, in the modern high energy physics. At present it is definitely confirmed that the symmetry is the essential part of the observational structure of nature. Experimental and theoretical studies show that the change of behavior of some symmetries at extreme external conditions open the wide room for qualitatively new phenomena. For instance, the restoration of the chiral symmetry of strong interactions at finite temperature is one of the main topics of the world physics program with heavy ion beams. The symmetry has a very deep relation with phase transition in high energy physics for both the strong interaction and the electroweak sector. The investigation of higher symmetries is promising tool for unification of the fundamental interactions and search for the physics beyond of the Standard Model. Application of various symmetries in modern high energy physics is the point of contact for the deep symbiosis between mathematics and the investigation of the physical universe, especially, for far-reaching of topological view of the fundamental interactions and phenomena at the corresponding phase transitions.

Prof. Dr. Vitalii A. Okorokov
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • invariances and discrete symmetries
  • chiral and flavor symmetries
  • internal and higher symmetries
  • nonlinear and dynamical symmetries
  • supersymmetry and supergravity
  • quantum anomalies and symmetry breaking

Published Papers (1 paper)

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Open AccessFeature PaperArticle
Supersymmetric NJL-Type Model for a Real Superfield Composite
Symmetry 2019, 11(12), 1507; https://doi.org/10.3390/sym11121507 - 11 Dec 2019
The Nambu–Jona-Lasinio (NJL) model is a classic theory for the strong dynamics of composite fields and symmetry breaking. Supersymmetric versions of the NJL-type models are certainly of interest too. Particularly, the case with a composite (Higgs) chiral superfield formed by two (quark) chiral [...] Read more.
The Nambu–Jona-Lasinio (NJL) model is a classic theory for the strong dynamics of composite fields and symmetry breaking. Supersymmetric versions of the NJL-type models are certainly of interest too. Particularly, the case with a composite (Higgs) chiral superfield formed by two (quark) chiral superfields has received much attention. Here, we propose a prototype model with a four-chiral-superfield interaction, giving a real superfield composite. It has a spin-one composite vector field with properties being somewhat similar to a massive gauge boson of spontaneously broken gauge symmetry. As such, it is like the first supersymmetric analog to non-supersymmetric models with spin-one composites. The key formulation developed here is the picture of quantum effective action as a superfield functional with parameters like constant superfields, having explicit supersymmetric and Grassmann number dependent supersymmetry breaking parts. Following the standard non-perturbative analysis for NJL-type models, the gap equation analysis shows plausible signature of dynamical supersymmetry breaking which is worth more serious analysis. With an extra superfield model Lagrangian included, comparison between the models and their non-supersymmetric counterparts is discussed, illustrating the notion of supersymmetrization is nontrivial in the setting. Full article
(This article belongs to the Special Issue Modern Application of Symmetry Principles to High Energy Physics)
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