Asymptotic freedom in the Einstein-Cartan theory

The Einstein-Cartan theory with a cosmological constant and an external current is analyzed. Single-loop contraterms repeat the structure of the original action on the mass shell. This fact is utilized to write a renormalization-group equation for the effective charges associated with the cosmological constant and the square of the current. Asymptotic freedom is realized in the ultraviolet region for the new charges.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 40–44, September, 1988.