Many-body theory of non-equilibrium systems

Abstract

Lectures notes for 2004 Les Houches Summer School on "Nanoscopic Quantum Transport". These lectures contain an introduction to Keldysh formalism for interacting bosonic and fermionic systems, presented in the functional integral framework. Covered topics include: kinetic theory, relation to classical techniques (such as Martin--Siggia--Rose and Fokker--Planck), non--linear sigma model for disordered fermions, etc.

70 pages, 7 figures

Cited by in corpus (20)

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• Dynamical renormalization group methods in theory of eternal inflation
• Dynamical Casimir effect and surprises with loop corrections to it
• Quantum fields in the future Rindler wedge
• Particle creation in nonstationary large N quantum mechanics
• Dynamical Casimir effect in nonlinear vibrating cavities
• Nonlinear dynamical Casimir effect at weak nonstationarity
• Decoupling of static and dynamic criticality in a driven Mott insulator
• On quantization in background scalar fields
• Superfluids, Fluctuations and Disorder
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• Loop corrections to a cosmological particle creation
• The Functional Renormalization Group for Zero-Dimensional Quantum Systems in and out of Equilibrium
• Secularly growing loop corrections to the dynamical Casimir effect
• Discrete Wigner-Weyl calculus for the finite lattice
• The Propagator Matrix Reloaded
• Double quantum dot as a probe of nonequilibrium charge fluctuations at the quantum point contact