Generalized zeta functions and one-loop corrections to quantum kink masses

Abstract A method for describing the quantum kink states in the semi-classical limit of several (1+1)-dimensional field theoretical models is developed. We use the generalized zeta function regularization method to compute the one-loop quantum correction to the masses of the kink in the sine-Gordon and cubic sinh-Gordon models and another two P ( φ ) 2 systems with polynomial self-interactions.