A Klein Gordon Particle Captured by Embedded Curves

Abstract

In the present work, a Klein Gordon particle with singular interactions supported on embedded curves on Riemannian manifolds is discussed from a more direct and physical perspective, via the heat kernel approach. It is shown that the renormalized problem is well-defined, and the ground state energy is unique and finite. The renormalization group invariance of the model is discussed, and it is observed that the model is asymptotically free.

arXiv commentPublished version, 13 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1202.3568

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Cited by in corpus (3)

• Compact submanifolds supporting singular interactions
• A Perturbative Approach to the Tunneling Phenomena
• Infinitely many singular interactions on noncompact manifolds