A Klein Gordon Particle Captured by Embedded Curves
Mathematical Physics
2012-09-03 v2 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.1204.1853,
title = {A Klein Gordon Particle Captured by Embedded Curves},
author = {Burak Tevfik Kaynak and O. Teoman Turgut},
journal= {arXiv preprint arXiv:1204.1853},
year = {2012}
}
Comments
Published version, 13 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1202.3568