Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions
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| Creator |
Haga, J.
Maitra, R.L. |
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| Description |
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.
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| Date |
2019-02-18T16:48:55Z
2019-02-18T16:48:55Z 2017 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 81V17; 81S40; 83C80 DOI:10.3842/SIGMA.2017.039 http://dspace.nbuv.gov.ua/handle/123456789/148635 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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