Classical anomalies
| Thesis title in Czech: | Klasické anomálie |
|---|---|
| Thesis title in English: | Classical anomalies |
| Key words: | Klasické anomálie|Liouvilleova polní teorie|Konformní a Weylova symetrie ve dvou dimenzích|Virasorova algebra |
| English key words: | Classical anomalies|Liouville field theory|Conformal and Weyl symmetries in two dimensions|Virasoro algebra |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Institute of Particle and Nuclear Physics (32-UCJF) |
| Supervisor: | prof. Alfredo Iorio, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 17.10.2019 |
| Date of assignment: | 17.10.2019 |
| Confirmed by Study dept. on: | 05.04.2021 |
| Date and time of defence: | 12.09.2022 09:00 |
| Date of electronic submission: | 11.07.2022 |
| Date of submission of printed version: | 11.07.2022 |
| Date of proceeded defence: | 12.09.2022 |
| Opponents: | Petr Jizba |
| Guidelines |
| The candidate will have knowledge of conformal symmetry in relation to the classical Liouville two-dimensional field theory. She/he will then build-up knowledge on the anomaly phenomenon, in general, and with reference to conformal symmetry, in particular, and will then learn the basics of the Unruh/Hawking phenomenon, on the one hand, and on the link of the latter with conformal anomalies in two dimensions, on the other hand. |
| References |
| S. Carroll, Spacetime and Geometry: An introduction to General Relativity. Pearson, 2003
L. C. B. Crispino, A. Higuchi, G. E. A. Matsas, The Unruh effect and its applications, Rev. Mod. Phys. 80:787-838,2008 Y. Takahashi, H. Umezawa, Thermofield Dynamics, Coll. Phen. 2 (1975) 55 N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space, Cambridge University Press, 1986 S. Deser and R. Jackiw, Energy-momentum tensor improvements in two dimensions. Int. J. Mod. Phys. B, 495:1499–1506, 1996 P. Di Francesco, P. Mathieu, and D. Senechal. Conformal Field Theory. Springer-Verlag, 1997 A. Iorio, Weyl-gauge symmetry of graphene. Ann. Phys. 326 (2011) 1334 A. Iorio, L. O’Raifeartaigh, I. Sachs, and C. Wiesendanger, Weyl gauging and conformal invariance, Nucl. Phys. B 495 (1997) 433 R. Jackiw, Diverse Topics in Theoretical and Mathematical Physics. World Scientific Publishing Company, 1995 R. Jackiw, Weyl symmetry and the Liouville theory, Theor. Math. Phys. 148 (2006) 941 S. M. Christensen, S. A. Fulling, Trace anomalies and the Hawking effect, Phys. Rev. D 15 (1977) 2088 F. Toppan, On Anomalies in Classical Dynamical Systems, J. Nonlinear Math. Phys. 8 (2001) 518–533 U. Leonhardt, I. Griniasty, S. Wildeman, E. Fort, M. Fink, Classical analogue of the Unruh effect, Phys. Rev. A 98, 022118 (2018) |
| Preliminary scope of work |
| The goal of this work is to explore the conformal anomaly from a classical appoint of view, an argument fascinating on its own right. A further step is to possibly move on to study the impact of the latter findings on classical versions of the Hawking/Unruh effect. The logic is based on the established correspondence between anomalies of various kinds and the Hawking effect. In particular, the well known relation between two-dimensional conformal/Weyl anomaly (e.g., in the Liouville field theory) and the Hawking effect, could be pivotal to explore at once the classical nature of phenomena considered to be rooted into the special features of quantum vacua. |