Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis

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dc.creatorLeClair, André
dc.date2006-11-17
dc.date2007-09-18
dc.date.accessioned2026-07-07T11:23:45Z
dc.date.available2026-07-07T11:23:45Z
dc.descriptionWe apply the S-matrix based finite temperature formalism to non-relativistic Bose and Fermi gases in 1+1 and 2+1 dimensions. In the 2+1 dimensional case, the free energy is given in terms of Roger's dilogarithm in a way analagous to the relativistic 1+1 dimensional case. The 1d fermionic case with a quasi-periodic 2-body potential provides a physical framework for understanding the Riemann hypothesis.
dc.descriptionversion 3: additional appendix explains how the $ν$ to $1-ν$ duality of Riemann's $ζ(ν)$ follows from a special modular transformation in a massless relativistic theory
dc.identifierhttps://arxiv.org/abs/math-ph/0611043
dc.identifierhttp://arxiv.org/abs/math-ph/0611043
dc.identifierInt.J.Mod.Phys.A23:1371-1391,2008
dc.identifierdoi:10.1142/S0217751X08039451
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195001
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectNumber Theory
dc.titleInteracting Bose and Fermi gases in low dimensions and the Riemann hypothesis
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