Equivalence of renormalization with self-adjoint extension in Green's function formalism

Details Equivalence of renormalization with self-adjoint extension in Green's function formalism Equivalence of renormalization with self-adjoint extension in Green's function formalism

1997-12-15

arxiv.org/abs/hep-th/9712134v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Revtex

Scientific paper

Energy-dependent Green's functions for the two and three dimensional $\delta$-function plus harmonic oscillator potential systems are derived by incorporating the renormalization and the self-adjoint extension into the Green's function formalism, respectively. It is shown that both methods yield an identical Green's function if a certain relation between the self-adjoint extension parameter and the renormalized coupling constant is imposed.

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