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.
Seznam odborné literatury
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]
Předběžná náplň práce
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.
Předběžná náplň práce v anglickém jazyce
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.
- zadáno a potvrzeno stud. odd.