STUDIES OF RELATIVISTIC PROCESSES USING THE DYNAMICS OF THERMAL FIELDS
1. Thermofield Dynamics. 2. Fock Space. 3. Electron-proton scattering. 4.
Bremsstrahlung.
In this work we deal with the influence of temperature on relativistic processes involving the
interaction of matter with radiation. In this context, we consider a systematic way of using
Fock space to apply Thermofield Dynamics (TFD) to some processes of interest. Starting from
the Dirac and radiation (Maxwell) fields, we construct the Fock space in the direct description
and dual description of the fields and employ the Bogoliubov transformation to determine the
quantum observables at finite temperature. Our development made it possible to obtain, at finite
temperature, the matrix element of the scattering operator for the first and second order of
electron-proton scattering and bremsstrahlung radiation, making it possible to determine the
cross section in the two systems and analyze their behavior with the temperature variation. Our
results show for the processes studied, except in the case of the second order of electron-proton
scattering, that the temperature presents itself as a correction to the description with zero tempe-
rature through a thermal factor that is equal to 1 when the temperature goes to zero .