Amplitudové metody pro efektivní teorie pole
| Thesis title in Czech: | Amplitudové metody pro efektivní teorie pole |
|---|---|
| Thesis title in English: | Amplitude methods for effective field theories |
| Key words: | částicová fyzika|kvantová teorie pole|rozptylové amplitudy |
| English key words: | particle physics|quantum field theory|scattering amplitudes |
| Academic year of topic announcement: | 2021/2022 |
| Thesis type: | dissertation |
| Thesis language: | |
| Department: | Institute of Particle and Nuclear Physics (32-UCJF) |
| Supervisor: | prof. RNDr. Karol Kampf, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 14.09.2021 |
| Date of assignment: | 14.09.2021 |
| Confirmed by Study dept. on: | 05.10.2021 |
| Advisors: | prof. RNDr. Jaroslav Trnka, Ph.D. |
| Guidelines |
| Study of literature.
Works on projects in domain of effective field theories using modern amplitude methods. |
| 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]] 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]]. J. Bijnens, K. Kampf and M. Sjo,%``Higher-order tree-level amplitudes in the nonlinear sigma model, JHEP \textbf{11} (2019), 074 [arXiv:1909.13684 [hep-th]]. |
| Preliminary scope of work in English |
| The methods of effective field theory are used for theoretical description of particles at low energy sector.
New developing field of modern amplitude methods can be applied also for this sector. More particularly it concerns the spinor-helicity formulation of kinematic variables and on-shell recursion relations of amplitudes. It would be nice to find deeper understanding and further extensions of these methods for complete classification of quantum effective field theories. Phd student should study and apply the state-of-the-art methods as duality, the so-called CHY formulation and, last but not least, the geometrical construction applied both for one-particle theories and multiflavour variants. |