The Fermi edge singularity and boundary condition changing operators
Open Access
- 21 August 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (16) , 5375-5392
- https://doi.org/10.1088/0305-4470/27/16/007
Abstract
The boundary conformal field theory approach to quantum impurity problems is used to study the Fermi edge singularity, occurring in the X-ray adsorption probability. The deep-hole creation operator, in the effective low-energy theory, changes the boundary condition on the conduction electrons. By a conformal mapping, the dimension of such an operator is related to the ground-state energy for a finite system with different boundary conditions at the two ends. The Fermi edge singularity is solved, using this method, for the Luttinger liquid including backscattering and for the multi-channel Kondo problem.Keywords
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