Applied Mathematics for High Energy Physics and Particle Physics

Dear Colleagues,

Physics in the last 50 years has been profoundly influenced by high energy and elementary particle physics. Since the discovery of the pi meson,  physics has had to add to its collection more than five hundred new particles. This development of particle physics and high energy would not be possible without the framework of applied mathematics, with its various subareas including, as it could not fail to, the computational part and algorithms.

The subject of applied mathematics in physics and its relation to physics has a long history, dating back to the times of Galileo and Newton. However, the full development of applied mathematics requires a large number of specialized techniques, in particular the advanced mathematical methods of algebra, real and complex analysis, differential geometry, differential operators, and partial differential equations. These were developed between the end of the 19th century and the 1950–60s.

This Special Issue is planned to focus on particle physics and high energy, with an emphasis on the use of modern methods of applied mathematics, which includes differential equations, integral equations, matrix algebra, variational calculus, scattering theory, Dirac algebra, conformal algebras, group theory, Fourier series, computational algorithms, and the integral equations to solve the Yang–Mills fields, with applications to the computation of diagrams in QCD, as well as the Dirac equation and the existence of its solution, with applications to particle scattering.

Prof. Joao Pacheco B.C. de Melo
Dr. Pedro Henrique Ribeiro da Silva Moraes
Dr. Ana Julia Silveira Mizher Silveira Mizher
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.

• applied mathematics
• high energy
• particle physics
• quantum fields
• differential equations
• integral equations
• lgebras
• computational physics