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Speaker |
Kamath, Gopinath |
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Coauthors |
Gopinath Kamath |
| Talk Title |
A calculation of the ζ-function in a quantum field theory in curved space |
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Abstract |
We present a calculation of the ζ-function associated with a massive scalar field theory in 2 + 1 dimensional curved space, the metric for which is give by the black-hole solution of Banados, Teitelboim and Zanelli,Phys.Rev.Lett.69(1992)1849;in this effort, we first rework the Antonsen-Bormann idea(F.Antonsen and K.Bormann, arXiv:hep-th/9608141v1) that was originally proposed by these authors for the computation of the heat kernel in curved space, to then determine the zeta-function in stationary curved space using the Schwinger expansion – the latter being obtained systematically following McKeon and Sherry,Phys.Rev.D35(1987)3854.The calculation is repeated with another stationary metric given by Deser, Jackiw and ‘tHooft,Ann.Phys.152,220(1984) – see also Clement,Int.J.Theor.Phys.24,267(1985) – and the respective qualitative features in these twin calculations will then be highlighted. |
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