STUDY OF THE CORRESPONDENCE BETWEEN DUAL THERMAL TRANSFORMATIONS AND GAUGE-FIELDS

The correspondence between dual thermal transformations of the thermo field dynamics (TFD) and gauge fields is studied both for abelian and non-abelian theories. It is found that the action for the TFD represen tation of a Dirac's lagrangian remains invariant under local transform ations in k-space. The conserved charge coincides with the TFD vacuum- generator G introduced by Takahashi and Umezawa. The relationship betw een the rules of the TFD and the principle of gauge invariance in a th ermal subspace is discussed in the context of a thermal symmetry break ing.