2002/04/19 by T.S. Evans, T. S. Evans, A. Gomez Nicola +5 · 1 citation
Physics and Astronomy · #Analytic continuation #Cold Atom Physics and Bose-Einstein Condensates #Continuation #Diagrammatic reasoning #Duality (order theory) #Fermion #Physics of Superconductivity and Magnetism #Propagator #Quantum many-body systems #Resummation #Thirring model #hep-ph #hep-th
paper · pdf · doi:10.1016/s0550-3213(02)01145-8
published in Nuclear Physics B 654(3), 357-403 (Elsevier BV) · 41 pages, 6 figures
arxiv created 2002/04/19 · openalex publication_date 2003/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The conductivity of a finite temperature 1+1 dimensional fermion gas described by the massive Thirring model is shown to be related to the retarded propagator of the dual boson sine-Gordon model. Duality provides a natural resummation which resolves infra-red problems, and the boson propagator can be related to the fermion gas at non-zero temperature and chemical potential or density. In addition, at high temperatures, we can apply a dimensional reduction technique to find resummed closed expressions for the boson self-energy and relate them to the fermion conductivity. Particular attention is paid to the discussion of analytic continuation. The resummation implicit in duality provides a powerful alternative to the standard diagrammatic evaluation of transport coefficients at finite temperature.