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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions
John Haga, Rachel Lash Maitra Department of Applied Mathematics, Wentworth Institute of Technology, 550 Huntington Ave., Boston MA 02115, USA
Аннотация:
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.
Ключевые слова:
factor ordering in quantum gravity; path integrals in quantum gravity; singularity avoidance in quantum gravity; quantization on a half-line.
Поступила: 19 декабря 2016 г.; в окончательном варианте 1 июня 2017 г.; опубликована 7 июня 2017 г.
Образец цитирования:
John Haga, Rachel Lash Maitra, “Factor Ordering and Path Integral Measure for Quantum Gravity in (1+1) Dimensions”, SIGMA, 13 (2017), 039, 19 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1239 https://www.mathnet.ru/rus/sigma/v13/p39
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