Quantization of Dynamical Symplectic Reduction

Martin Bojowald; Artur Tsobanjan

doi:10.1007/s00220-020-03856-4

Quantization of Dynamical Symplectic Reduction

Martin Bojowald, Artur Tsobanjan

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9 Scopus citations

Abstract

A long-standing problem in quantum gravity and cosmology is the quantization of systems in which time evolution is generated by a constraint that must vanish on solutions. Here, an algebraic formulation of this problem is presented, together with new structures and results, which show that specific conditions need to be satisfied in order for well-defined evolution to be possible.

Original language	English (US)
Pages (from-to)	547-583
Number of pages	37
Journal	Communications In Mathematical Physics
Volume	382
Issue number	1
DOIs	https://doi.org/10.1007/s00220-020-03856-4
State	Published - Feb 2021

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-020-03856-4

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title = "Quantization of Dynamical Symplectic Reduction",

abstract = "A long-standing problem in quantum gravity and cosmology is the quantization of systems in which time evolution is generated by a constraint that must vanish on solutions. Here, an algebraic formulation of this problem is presented, together with new structures and results, which show that specific conditions need to be satisfied in order for well-defined evolution to be possible.",

author = "Martin Bojowald and Artur Tsobanjan",

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AB - A long-standing problem in quantum gravity and cosmology is the quantization of systems in which time evolution is generated by a constraint that must vanish on solutions. Here, an algebraic formulation of this problem is presented, together with new structures and results, which show that specific conditions need to be satisfied in order for well-defined evolution to be possible.

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Quantization of Dynamical Symplectic Reduction

Abstract

All Science Journal Classification (ASJC) codes

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