A Klein Gordon Particle Captured by Embedded Curves
  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. 
Burak Tevfik Kaynak and O. Teoman Turgut
math-ph hep-th math.MP