期刊
NUCLEAR PHYSICS B
卷 784, 期 3, 页码 151-201出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2007.04.034
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The main result of these notes is an analytical expression for the partition function of the circular brane model [S.L. Lukyanov, A.B. Zamolodchikov, J. Stat. Mech.: Theor. Exp. (2004) P05003] 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 [V. Ambegaokar, U. Eckern, G. Schon, Phys. Rev. Lett. 48 (1982) 17451 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 in [S.L. Lukyanov, P. Werner, J. Stat. Mech.: Theor. Exp. (2006) P 11002]. 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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