Advanced Approaches to Mathematical Physics Problems in High-Energy Physics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".

Deadline for manuscript submissions: 26 October 2025 | Viewed by 580

Special Issue Editors


E-Mail Website
Guest Editor
Instituto de Física, Bahia Federal University (Ufba), Salvador, BA, Brazil
Interests: mathematical physics; classical and quantum field theory; gravitation

E-Mail Website
Guest Editor
Department of Physics and Chemistry, São Paulo State University (Unesp), Guaratinguetá, SP, Brazil
Interests: mathematical physics; high-energy physics; gravitation
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

It is our pleasure to launch the Special Issue entitled “Advanced Approaches to Mathematical Physics Problems in High-Energy Physics”, which will be published by Mathematics. Modern mathematical techniques and tools have recently enriched the high-energy physics research branch with many exciting possibilities and approaches. There is a plethora of new ideas and insights worth reporting and sharing for specialized audiences in Mathematics and Physics. This Special Issue aims to bring both communities on the same footing, exchanging ideas and viewpoints on a technical and conceptual basis. Papers, Reports, Reviews, and Communications including (but not restricted to) the following topics are most welcome:

  • Foundations of Quantum Mechanics and Quantum Field Theory;
  • Classical Theory of Fields;
  • Classical and Quantum Gravity;
  • Mathematical Physics;
  • Symmetries in High-Energy Physics;
  • Group Representation theory.

The deadline for submissions is October 2025. We look forward to hearing from you. 

Dr. Mario Cezar Bertin
Dr. Julio Marny Hoff da Silva
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.

Keywords

  • mathematical physics
  • high-energy physics
  • classical and quantum gravity

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

24 pages, 410 KiB  
Article
Vanishing Cycles and Analysis of Singularities of Feynman Diagrams
by Stanislav Srednyak and Vladimir Khachatryan
Mathematics 2025, 13(6), 969; https://doi.org/10.3390/math13060969 - 14 Mar 2025
Viewed by 390
Abstract
In this work, we analyze the vanishing cycles of Feynman loop integrals by the means of the Mayer–Vietoris spectral sequence. A complete classification of possible vanishing geometries is obtained. We use this result for establishing an asymptotic expansion for the loop integrals near [...] Read more.
In this work, we analyze the vanishing cycles of Feynman loop integrals by the means of the Mayer–Vietoris spectral sequence. A complete classification of possible vanishing geometries is obtained. We use this result for establishing an asymptotic expansion for the loop integrals near their singularity locus and then give explicit formulas for the coefficients of such an expansion. Further development of this framework may potentially lead to exact calculations of one- and two-loop Feynman diagrams, as well as other next-to-leading and higher-order diagrams, in studies of radiative corrections for upcoming lepton–hadron scattering experiments. Full article
Show Figures

Figure 1

Back to TopTop