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Integrable circular brane model and Coulomb charging at large conduction

Sergei L. Lukyanov
(
- Rutgers U., Piscataway and
- Landau Inst.
)
,
Alexander B. Zamolodchikov
(
- Rutgers U., Piscataway and
- Landau Inst.
)

Jun, 2003

20 pages

Published in:

J.Stat.Mech. 0405 (2004) P05003

e-Print:

hep-th/0306188 [hep-th]

DOI:

10.1088/1742-5468/2004/05/P05003

Report number:

RUNHETC-2003-20

View in:

ADS Abstract Service

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Abstract:

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.

membrane model
dimension: 2
field theory: Euclidean
partition function
temperature: high
symmetry: O(N)
conservation law
phase space: boundary condition

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Figures(0)

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