Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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dc.contributor.author	Haga, J.
dc.contributor.author	Maitra, R.L.
dc.date.accessioned	2019-02-18T16:48:55Z
dc.date.available	2019-02-18T16:48:55Z
dc.date.issued	2017
dc.identifier.citation	Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions / J. Haga, R.L. Maitra // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 35 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81V17; 81S40; 83C80
dc.identifier.other	DOI:10.3842/SIGMA.2017.039
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148635
dc.description.abstract	We develop a mathematically rigorous path integral representation of the time evolution operator for a model of (1+1) quantum gravity that incorporates factor ordering ambiguity. In obtaining a suitable integral kernel for the time-evolution operator, one requires that the corresponding Hamiltonian is self-adjoint; this issue is subtle for a particular category of factor orderings. We identify and parametrize a complete set of self-adjoint extensions and provide a canonical description of these extensions in terms of boundary conditions. Moreover, we use Trotter-type product formulae to construct path-integral representations of time evolution.	uk_UA
dc.description.sponsorship	The authors are grateful to Renate Loll for many fruitful conversations which informed this project, to Jan Ambjørn for the reference to Nakayama’s work on 2D quantum gravity, and to Vincent Moncrief, Antonella Marini, and Maria Gordina for ongoing useful discussions about quantization and mathematical physics. Additionally, the authors would like to thank the editor and the anonymous reviewers for their thoughtful and insightful comments and suggestions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA