Integrable Circular Brane Model and Coulomb Charging at Large Conduction

Details Integrable Circular Brane Model and Coulomb Charging at Large Conduction Integrable Circular Brane Model and Coulomb Charging at Large Conduction

2003-06-19

arxiv.org/abs/hep-th/0306188v2

J.Stat.Mech.0405:P05003,2004

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, minor changes

Scientific paper

10.1088/1742-5468/2004/05/P05003

We study a model of 2D QFT with boundary interaction, in which two-component massless Bose field is constrained to a circle at the boundary. We argue that this model is integrable at two values of the topological angle, $\theta =0$ and $\theta=\pi$. For $\theta=0$ we propose exact partition function in terms of solutions of ordinary linear differential equation. The circular brane model is equivalent to the model of quantum Brownian dynamics commonly used in describing the Coulomb charging in quantum dots, in the limit of small dimensionless resistance $g_0$ of the tunneling contact. Our proposal translates to partition function of this model at integer charge.

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