MG14 - Talk detail |
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Participant |
Kamath, Gopinath | |||||||
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Institution |
Indian Institute of Technology Madras - Alumni Road - Chennai - Tamilnadu - India | |||||||
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Session |
QF2 |
Accepted |
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Order |
Time |
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Talk |
Poster abstract |
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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Pdf file |
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Session |
EU2 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
A calculation of the zeta-function in a quantum field theory in curved space | |||||
| Coauthors | ||||||||
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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 given by the black-hole solution of Banados, Teitelboim and Zanelli; in this effort, we first rework the Antonsen-Bormann idea 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. The calculation is repeated with another stationary metric given by Deser, Jackiw and „tHooft and the respective qualitative features in these twin calculations will then be highlighted. |
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Pdf file |
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