Semi-classical energy of elliptic Nambu-Goto string

• Thesis title in Czech: Semiklasická energie eliptické Nambuovy-Gotovy struny
• Thesis title in English: Semi-classical energy of elliptic Nambu-Goto string
• Key words: Nambuova-Gotova struna; semiklasické kvantování; kvantová teorie pole na zakřivených prostoročasech; Reggeův intercept; spektrum fyzikálních stavů
• English key words: Nambu-Goto string; semi-classical quantization; quantum field theory in curved space-times; Regge intercept; physical state spectrum
• Academic year of topic announcement: 2017/2018
• Thesis type: diploma thesis
• Thesis language: angličtina
• Department: Institute of Theoretical Physics (32-UTF)
• Supervisor: Jochen Zahn
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 16.01.2018
• Date of assignment: 16.01.2018
• Confirmed by Study dept. on: 25.01.2018
• Date and time of defence: 05.09.2018 09:30
• Date of electronic submission: 23.07.2018
• Date of submission of printed version: 23.07.2018
• Date of proceeded defence: 05.09.2018
• Opponents: Mgr. Martin Scholtz, Ph.D.

Guidelines

Student will familiarize himself with basic concepts of string theory and the common covariant quantization method. He will, then, research the papers on semi-classical quantization approach for a) open strings and b) closed strings that, for fixed time parameter, exhibit circular form. Subsequently, he will generalize the method to closed strings of arbitrary ellipticity.

References

M.B. Green, J.H. Schwarz, and E. Witten, Superstring theory Vol. 1 (Cambridge University Press, 1987)
J. Zahn, The semi-classical energy of open Nambu-Goto strings, [arXiv:1605.07928]
J. Zahn, The semi-classical energy of closed Nambu-Goto strings, [arXiv:1610.02813]

Preliminary scope of work

Nambu-Goto string, originally, provided motivation for the Polyakov string, leading to string theory as a candidate for a fundamental theory. Furthermore, due to its diffeomorphism invariance, it is a suitable toy model for (quantum) gravity. Semi-classical quantization approach is particularly useful when treating the bosonic string at non-critical dimension. However, its legitimacy is not always guaranteed and, therefore, it is necessary to thoroughly investigate its results.

Preliminary scope of work in English

Nambu-Goto string, originally, provided motivation for the Polyakov string, leading to string theory as a candidate for a fundamental theory. Furthermore, due to its diffeomorphism invariance, it is a suitable toy model for (quantum) gravity. Semi-classical quantization approach is particularly useful when treating the bosonic string at non-critical dimension. However, its legitimacy is not always guaranteed and, therefore, it is necessary to thoroughly investigate its results.