Speaker
Prof.
Gopinath Kamath
(Indian Institute of Technology-Madras (IN))
Description
The Antonsen – Bormann idea was originally proposed by these authors for the computation of the heat kernel in curved space; it was also used by the author recently with the same objective but for the Lagrangian density for a real massive scalar field in 2 + 1 dimensional stationary curved space,the metric being defined by the rotating solution of Deser et al. Ann.Phys.120,220(1984) and Clement,Int.J.Theor.Phys.24,267(1985) of the Einstein field equations associated with a single massless spinning particle located at the origin.It is now reworked here with a different purpose – namely, to determine the zeta function for the said model using the Schwinger operator expansion. The repetitive nature of this calculation at all higher orders (≥3) in the gravitational constant G suggests the use of the Dirac delta-function and one of its integral representations – in that it is convenient to obtain answers. The vierbeins presented by the author at FFP10 – arXiv: 1003.0260 [hep-th] – and published in Kamath, AIP Conf.Proc.1246: 174-177, 2010 play a pivotal role in this exercise, with the pair displayed in eq.(12) therein being distinguished for the simplicity of the calculation reported here.
Author
Prof.
Gopinath Kamath
(Indian Institute of Technology-Madras (IN))
