## Abstract

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-Schön) model [V. Ambegaokar, U. Eckern, G. Schön, Phys. Rev. Lett. 48 (1982) 1745] 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) P11002]. 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 [P. Fendley, H. Saleur, Phys. Rev. B 60 (1999) 11432].

Original language | English (US) |
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Pages (from-to) | 151-201 |

Number of pages | 51 |

Journal | Nuclear Physics B |

Volume | 784 |

Issue number | 3 |

DOIs | |

State | Published - Nov 19 2007 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics