Boundary term contribution to the volume of a small causal diamond

Khetrapal, Surbhi; Surya, Sumati

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/5559

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DC Field	Value	Language
dc.contributor.author	Khetrapal, Surbhi	-
dc.contributor.author	Surya, Sumati	-
dc.date.accessioned	2013-04-24T12:01:37Z	-
dc.date.available	2013-04-24T12:01:37Z	-
dc.date.issued	2013-03	-
dc.identifier.citation	Classical and Quantum Gravity, 2013, Vol.30, p 065005	en
dc.identifier.issn	0264-9381	-
dc.identifier.issn	1361-6382(Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/5559	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.abstract	In his calculation of the spacetime volume of a small Alexandrov interval in four dimensions, Myrheim introduced a term which he referred to as a surface integral (Myrheim 1978 CERN preprint TH-2538). The evaluation of this term has remained opaque and led subsequent authors to obtain a formula for the volume using other techniques (Gibbons and Solodukhin 2007 Phys. Lett. B 649 317). It is the purpose of this work to explicitly calculate this integral and in the process complete the proof for the volume formula in arbitrary dimensions. We point out that it arises from the difference in the flat spacetime volumes of the curved and flat spacetime intervals. We use first-order degenerate perturbation theory to evaluate this difference and find that it adds a dimension-independent factor to the volume of the flat spacetime interval as the lowest order correction. Our analysis admits a simple extension to a more general class of integrals over the same domain. Using a combination of techniques we also find that the next-order correction to the volume vanishes.	en
dc.language.iso	en	en
dc.publisher	Institute of Physics	en
dc.relation.uri	http://arxiv.org/abs/1212.0629	en
dc.relation.uri	http://dx.doi.org/10.1088/0264-9381/30/6/065005	en
dc.relation.uri	http://adsabs.harvard.edu/abs/2013CQGra..30f5005K	en
dc.rights	2013 Institute of Physics	en
dc.title	Boundary term contribution to the volume of a small causal diamond	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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