Transport coefficients and analytic continuation in dual (1+1) -dimensional models at finite temperature
Apr, 2002
41 pages
Published in:
- Nucl.Phys.B 654 (2003) 357-403
e-Print:
- hep-th/0204166 [hep-th]
Report number:
- IMPERIAL-TP-1-02-19,
- ORSAY-LPT-02-34
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Abstract:
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.Note:
- 41 pages, 6 figures Report-no: IMPERIAL/TP/1-02/19, ORSAY-PPT-02-34
- fermion: gas
- Thirring model
- dimension: 2
- finite temperature
- duality
- sine-Gordon model
- boson: propagator
- fermion: current
- dimensional reduction
- numerical calculations
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