2006/11/17 by André LeClair · 1 citation
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #Statistical Mechanics and Entropy #cond-mat.stat-mech #hep-ph #hep-th
paper · pdf · doi:10.1088/1751-8113/40/31/033
published as J.Phys.A40:9655-9674,2007
arxiv created 2006/11/17 · openalex publication_date 2007/07/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We develop a finite temperature field theory formalism in any dimension that has the filling fractions as the basic dynamical variables. The formalism efficiently decouples zero temperature dynamics from the quantum statistical sums. The zero temperature 'data' are the scattering amplitudes. A saddle-point condition leads to an integral equation which is similar in spirit to the thermodynamic Bethe ansatz for integrable models, and effectively resums infinite classes of diagrams. We present both relativistic and non-relativistic versions.