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.
Primary author
Prof.
Gopinath Kamath
(Indian Institute of Technology-Madras (IN))
