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Introduction to Thermal Field Theory: From First Principles to Applications
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This review article provides the basics and discusses some important applications of thermal field theory, namely the combination of statistical mechanics and relativistic quantum field theory. In a first part the fundamentals are covered: the density matrix, the corresponding averages and the treatment of fields of various spin in a medium. A second part is dedicated to the computation of thermal Green's function for scalars, vectors and fermions with path-integral methods. These functions play a crucial role in thermal field theory, as explained here. A more applicative part of the review is dedicated to the production of particles in a medium and to phase transitions in field theory, including the process of vacuum decay in a general theory featuring a first-order phase transition. To understand this review, the reader should only have a good knowledge of non-statistical quantum field theory.
Forward citations
Cited by 3 Pith papers
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Thermal Gauge Theory for a Rotating Plasma
A path-integral framework extends thermal field theory with rotation and chemical potentials to all gauge theories, with generalized KMS conditions and closed-form gauge and ghost propagators.
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Supercooled Phase Transitions with Radiative Symmetry Breaking
Supercooled phase transitions from radiative symmetry breaking can be described, at leading and next-to-leading order, by formulas depending only on three or four parameters (χ0, β̄, g, and g̃ at NLO).
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Coherent State Path Integral Reveals Unexpected Vacuum Structure in Thermal Field Theory
A coherent-state derivation of the thermal partition function yields extra vacuum and mass-coupling terms that the authors claim are novel, though these terms reflect the chosen operator ordering.
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