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Ignat Fiolkovski
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Interaction of QED fields with singular potentials
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Interaction of QED fields with singular potentials
We study QED fields interacting with delta-potentials supported on 2d
surfaces. Such potentials describe thin material films and in the
strong coupling limit reproduce boundary conditions imposed of the
fields. The interaction (quadratic in the fields) is defined uniquely
by basic field-theoretical principles – locality, renormalizability,
gauge and Lorenz invariance.
For fermion field interacting with an infinite plane we present
calculation of quantum corrections to classical EM field of the plane.
The cut-off regularization of the mean EM field gives rise to
renormalization of classical EM current of the plane.
The photon potential is unavoidably of Chern-Simon type and its single
dimensionless constant characterizes the parity breaking of the system
For EM quantum fields interacting with infinite circular cylinder
shell we calculate the Casimir Energy. We use the Pauli-Willars
regularization procedure. The divergences are extracted as a
polynomial in the regularization mass parameter and then embodied into
the counter terms.