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Phys. Rev. Lett. 72, 1968–1971 (1994)

Exact c=1 boundary conformal field theories

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Curtis G. Callan
School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08544

Igor R. Klebanov
Department of Physics, Princeton University, Princeton, New Jersey 08544

Received 17 November 1993; published in the issue dated 28 March 1994

We present a solution of the problem of a free massless scalar field on the half line interacting through a sinusoidal potential on the boundary. For a critical value of the period, this system is a conformal field theory with a nontrivial and explicitly calculable S matrix for scattering from the boundary. It describes the critical behavior of a number of condensed matter systems, including dissipative quantum mechanics and of barriers in ‘‘quantum wires.’’

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.72.1968
DOI:
10.1103/PhysRevLett.72.1968
PACS:
11.25.Hf, 05.70.Jk