Hamiltonian formulation of the effective kinetic theory for superfluid Fermi liquids

Abstract

We present in a local form the time dependent effective description of a superfluid Fermi liquid which includes Landau damping effects at $T\ne 0$. This is achieved by the introduction of an additional variable, the quasiparticle distribution function, which obeys a simple kinetic equation. The transport equation is coupled with first order equations for the Goldstone mode and the particle density. We prove that a main feature of this formulation is its Hamiltonian structure relative to a certain Poisson bracket. We construct the Hamiltonian to quadratic order.

arXiv comment13 pages

References in corpus (11)

• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
• Kinetic Equations for Longwavelength Excitations of the Quark-Gluon Plasma
• The low-energy phase-only action in a superconductor: a comparison with the XY model
• Hard Thermal Loops, Gauged WZNW Action and the Energy of Hot Quark-Gluon Plasma
• Hamiltonian Analysis of the Effective Action for Hard Thermal Loops in QCD
• Dynamics of a trapped Fermi gas in the BCS phase
• Finite Temperature Time-Dependent Effective Theory For The Goldstone Field In A BCS-Type Superfluid
• Effective theory for real-time dynamics in hot gauge theories
• Effective theory for the Goldstone field in the BCS-BEC crossover at T=0
• Nonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time

Cited by in corpus (1)

• Reversible Dissipative Processes, Conformal Motions and Landau Damping