Notes on parafermionic QFT's with boundary interaction

Details Notes on parafermionic QFT's with boundary interaction Notes on parafermionic QFT's with boundary interaction

2006-06-16

arxiv.org/abs/hep-th/0606155v1

Nucl.Phys.B784:151-201,2007

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, 6 figures

Scientific paper

10.1016/j.nuclphysb.2007.04.034

The main result of these notes is an analytical expression for the partition function of the circular brane model for arbitrary values of the topological angle. The model has important applications in condensed matter physics. It is related to the dissipative rotator (Ambegaokar-Eckern-Schon) model and describes a ``weakly blocked'' quantum dot with an infinite number of tunneling channels under a finite gate voltage bias. A numerical check of the analytical solution by means of Monte Carlo simulations has been performed recently. To derive the main result we study the so-called boundary parafermionic sine-Gordon model. The latter is of certain interest to condensed matter applications, namely as a toy model for a point junction in the multichannel quantum wire.

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