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.
- Publication:
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Annals of Physics
- Pub Date:
- November 2012
- DOI:
- arXiv:
- arXiv:1204.1853
- Bibcode:
- 2012AnPhy.327.2605K
- Keywords:
-
- Mathematical Physics;
- High Energy Physics - Theory
- E-Print:
- Published version, 13 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1202.3568