The Fermi Edge Singularity and Boundary Condition Changing Operators

Details The Fermi Edge Singularity and Boundary Condition Changing Operators The Fermi Edge Singularity and Boundary Condition Changing Operators

1994-05-20

arxiv.org/abs/cond-mat/9405057v1

Physics

Condensed Matter

21 pages of RevTex plus one unencoded postscript figure, UBCT-94-003

Scientific paper

10.1088/0305-4470/27/16/007

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.

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