Is Quantum Statistical Mechanics a Quantum Field Theory?

[Schreiberdk]

Hi there PF.

I just want to ask, whether Quantum Statistical Mechanics is a Quantum field theory.

If not, is there anything else that describes entropy and thermodynamics in terms of a Quantum field theory?

 

[Bill_K]

It can be formulated that way, sure. See for example "Methods of Quantum Field Theory in Statistical Physics," by Abrikosov et al.

 

[A. Neumaier]

I just want to ask, whether Quantum Statistical Mechanics is a Quantum field theory.

Apart perhaps from some introductory stuff, almost everything done in statistical mechanics is ''quantum field theory'', but not ''a'' quantum field theory. The latter is reserved for denoting a particular theory with a specific Lagrangian density or Hamiltonian density.