Covariant calculation of the partition function of the two-dimensional sigma model on compact two-surfaces

Autor: Andreev, O. D., Metsaev, R. R., Tseytlin, A. A.
Rok vydání: 2023
Předmět:
Zdroj: Yad. Fiz. 51 (1990) 564-576 [Sov. J. Nucl. Phys. 51 (1990) 359-366]
Druh dokumentu: Working Paper
Popis: Motivated by string theory connection, a covariant procedure for perturbative calculation of the partition function of the two-dimensional generalized $\sigma$-model is considered. The importance of a consistent regularization of the measure in the path integral is emphasized. The partition function is computed for a number of specific 2-manifolds: sphere, disk and torus.
Comment: 17 p. English translation of an article published in Yad. Fiz. 51 (1990) 564-576
Databáze: arXiv