Field Theory of Non-Equilibrium Systems

Abstract

Field Theory of Non-equilibrium Systems Alex Kamenev Frontmatter More information xiv Preface experiments could easily increase the volume by a factor. Finally, the bibliography list is not meant to be exhaustive or complete. In most cases the references are given to the original works, where the presented results were obtained, and to their immediate extensions and the review articles. I sincerely apologize to many authors whose works I was not able to cover. Finally, this is an opportunity to express my deep appreciation to all of my coauthors and colleagues, from whom I learned a great deal about the subjects of this book.

Renormalization in open quantum field theory. Part I. Scalar field theory

“…We will refer the reader to chapter 8 of [17] for textbook examples of 1-loop renormalisation in non-relativistic non-unitary QFTs. The examples include HohenbergHalperin classification of dynamics near classical critical points, reaction diffusion models, their critical behavior/scaling and surface growth models including the famous KPZ equations.…”

“…The Schwinger-Keldysh(SK) path integrals have been reviewed in [17,19,[33][34][35][36]. Here we will mention some key features: given a unitary QFT and a initial density matrix ρ(t = t i ) = ρ i , we define the SK path integral via…”

“…If the unitary QFT is in a perturbative regime, the above path integral can be used to set up the Feynman rules [17,33].…”

“…The corresponding property in the unitary quantum field theory is the well-known relation between the various correlators in the Keldysh formalism [17]. This can equivalently be reformulated as the vanishing of two point function of two difference correlators:…”

“…This clear separation of the Lindblad violating couplings is the most salient aspect of this basis, making it easy to trace their renormalisation. The propagators in this basis are given by [17,33,34] a :…”