Thermal field theory and trajectories in the space of the representations

The following sections are included:

• Introduction

• Doubling the degrees of freedom

  • The two-slit experiment

• Thermo Field Dynamics: A brief introduction

  • The propagator structure in TFD

  • Non-hermitian representation of TFD

  • TFD for fields with continuous mass spectrum

• The q-deformed Hopf algebra and the doubling of the field degrees of freedom

• Free energy, entropy and the arrow of time. Intrinsic thermal nature of QFT

  • Entropy and system-environment entanglement

• Thermal field theory and the gauge field

• Boson condensation at finite temperature

  • Free energy and classical energy

• Trajectories in the space of representations