Study of Inertial and Gravitational Masses of a Boson

A report presents a theoretical study of the relationship between the inertial mass (mi) and gravitational mass (mg) of a self-interacting neutral scalar boson in a heat bath. The question of whether these masses differ arises in modern physics. In quantum field theory, the mass of a particle appears as a parameter that, as a result of interaction with fields, is changed to a renormalizable, physically reliable value (mR). The interaction of a particle with fields also has a thermal character. Thus, a boson in a heat bath in a gravitational field gains an acceleration different from the gravitational acceleration. The study utilizes a simple approximate Lagrangian model that is well suited for analysis of temperature- and gravitation-related effects.