Singular interactions supported by embedded curves

Details Singular interactions supported by embedded curves Singular interactions supported by embedded curves

2012-02-16

arxiv.org/abs/1202.3568v1

Physics

Mathematical Physics

14 pages, no figures

Scientific paper

In the present work, singular interactions supported on embedded curves on
Riemannian manifolds are discussed from a more direct and physical perspective,
via the heat kernel approach. We show that the renormalized problem is
well-defined, ground state is finite and the corresponding wave function is
positive. The renormalization group invariance of the model is also discussed.

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