Boundary conditions changing operators in non conformal theories

Details Boundary conditions changing operators in non conformal theories Boundary conditions changing operators in non conformal theories

1998-01-14

arxiv.org/abs/hep-th/9801089v1

Nucl.Phys. B520 (1998) 563-593

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, harvmac

Scientific paper

10.1016/S0550-3213(98)00170-9

Boundary conditions changing operators have played an important role in conformal field theory. Here, we study their equivalent in the case where a mass scale is introduced, in an integrable way, either in the bulk or at the boundary. More precisely, we propose an axiomatic approach to determine the general scalar products ${}_b<\theta_1, ... ,\theta_m||\theta'_1, ... ,\theta'_{n}>_a$ between asymptotic states in the Hilbert spaces with $a$ and $b$ boundary conditions respectively, and compute these scalar products explicitely in the case of the Ising and sinh-Gordon models with a mass and a boundary interaction. These quantities can be used to study statistical systems with inhomogeneous boundary conditions, and, more interestingly maybe, dynamical problems in quantum impurity problems. As an example, we obtain a series of new exact results for the transition probability in the double well problem of dissipative quantum mechanics.

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