Nové metody pro výpočty procesů fundamentálních interakcí
| Thesis title in Czech: | Nové metody pro výpočty procesů fundamentálních interakcí |
|---|---|
| Thesis title in English: | New methods for calculating fundamental interaction processes |
| Key words: | částicová fyzika|kvantová teorie pole|rozptylové amplitudy|kvantová elektrodynamika |
| English key words: | particle physics|quantum field theory|scattering amplitudes|quantum electrodynamics |
| Academic year of topic announcement: | 2024/2025 |
| Thesis type: | dissertation |
| Thesis language: | |
| Department: | Institute of Particle and Nuclear Physics (32-UCJF) |
| Supervisor: | prof. RNDr. Karol Kampf, Ph.D. |
| Author: |
| Guidelines |
| Interested applicant should continue to study the relevant literature and sources.
He/she should focus on the modern amplitudes methods, i.e. the spinor-helicity formalism (extended eventually to massive cases, higher dimensions etc), recursion relations, geometric methods of calculating amplitudes. First, the main focus should be on the possibility of implementing these methods for the fundamental interactions, starting, e.g. with quantum electrodynamics or the Higgs sector. |
| References |
| R. Britto, F. Cachazo, B. Feng and E. Witten, Direct proof of tree-level recursion relation in Yang-Mills theory, Phys. Rev. Lett. \textbf{94} (2005), 181602 [arXiv:hep-th/0501052 [hep-th]]
H. Elvang and Y. t. Huang, Scattering Amplitudes, [arXiv:1308.1697 [hep-th]] S. D. Badger and J. M. Henn, Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations, Phys. Lett. B \textbf{692} (2010), 143-151 [arXiv:1005.4939] C. Cheung, K. Kampf, J. Novotny and J. Trnka, Effective Field Theories from Soft Limits of Scattering Amplitudes, Phys. Rev. Lett. \textbf{114} (2015) no.22, 221602 [arXiv:1412.4095 [hep-th]]. C. Cheung, K. Kampf, J. Novotny, C. H. Shen and J. Trnka, A Periodic Table of Effective Field Theories, JHEP \textbf{02} (2017), 020 [arXiv:1611.03137 [hep-th]]. C. Cheung, K. Kampf, J. Novotny, C. H. Shen and J. Trnka, On-Shell Recursion Relations for Effective Field Theories, Phys. Rev. Lett. \textbf{116} (2016) no.4, 041601 [arXiv:1509.03309 [hep-th]]. C. Bartsch, T. V. Brown, K. Kampf, U. Oktem, S. Paranjape and J. Trnka, Hidden Amplitude Zeros From Double Copy, [arXiv:2403.10594 [hep-th]]. N. Arkani-Hamed, Q. Cao, J. Dong, C. Figueiredo and S. He, Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory, [arXiv:2401.00041 [hep-th]]. |