Special Issue "Mathematical Physics in Quantum Field: Solutions, Variables and Symmetries"
Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 220
Interests: quantum field theory; exact solutions; noncommutative integration method
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
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
Manuscript Submission Information
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- Dirac equation
- exact solutions
- strong electric field
- quantum fields
- high-energy physics