Special Issue "Mathematical Physics in Quantum Field: Solutions, Variables and Symmetries"

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 220

Special Issue Editors

Professor (Associate), Department of Theoretical Physics, Tomsk State University, 1 Novosobornaya Sq., 634050 Tomsk, Russia
Interests: quantum field theory; exact solutions; noncommutative integration method
1. Department of Theoretical Physics, Tomsk State University, 1 Novosobornaya Sq., 634050 Tomsk, Russia
2. International Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics, 40 Lenina av., 634050 Tomsk, Russia
Interests: mathematical physics; mathematical biology; symmetry analysis in mathematical physics; solitons; semiclassical approximation

Special Issue Information

Dear Colleagues,

The most important aspect of quantum field theory is the methods of mathematical physics, which mostly take into account the symmetries of both quantum fields and external strong classical fields. If we consider quantum fields in the background, for example, within the framework of the Farry picture in quantum electrodynamics or quantum field theory in curved space–time, then quantum effects have the most influence and can only be nonperturbatively considered. Additionally, to study such effects, it is necessary to be able to construct exact solutions of the equations of quantum field theory in intense external fields. Additionally, the concept of the symmetry of a system in an external field comes to the fore, making it possible to obtain new exact solutions and, on their basis, to study quantum effects, such as the production of pairs by an external field and the effect of vacuum polarization.

To this end, we aim to collate studies related to modern research in the field of constructing exact solutions of the equations of quantum field theory and the study of their symmetry properties, as well as studies that use the group theory approach to describe quantum effects in field theory.

Dr. Alexander Breev
Prof. Dr. Alexander Shapovalov
Guest Editors

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 submissions that pass pre-check are 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 2400 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.


  • Dirac equation
  • exact solutions
  • strong electric field
  • quantum fields
  • symmetry
  • high-energy physics

Published Papers

There is no accepted submissions to this special issue at this moment.
Back to TopTop