The Fermi Edge Singularity and Boundary Condition Changing Operators

Preprint

20 May 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9405057

Abstract

The boundary conformal field theory approach to quantum impurity problems is used to study the Fermi edge singularity, occuring in the X-ray adsorption probablility. 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 groundstate 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 back-scattering and for the multi-channel Kondo problem.

Keywords

BOUNDARY CONDITION CHANGING
FERMI EDGE SINGULARITY
CHANGING OPERATORS
SINGULARITY
ADSORPTION
CONFORMAL

All Related Versions

Version 1, 1994-05-20, ArXiv
Published version: Journal of Physics A: General Physics, 27 (16), 5375.

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