English

Singular interactions supported by embedded curves

Mathematical Physics 2012-06-12 v2 math.MP

Abstract

In this work, singular interactions supported by 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, the ground state is finite and the corresponding wavefunction is positive. The renormalization group invariance of the model is also discussed.

Cite

@article{arxiv.1202.3568,
  title  = {Singular interactions supported by embedded curves},
  author = {Burak Tevfik Kaynak and O. Teoman Turgut},
  journal= {arXiv preprint arXiv:1202.3568},
  year   = {2012}
}

Comments

Published version, 15 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1204.1853

R2 v1 2026-06-21T20:20:21.687Z