Polar Decomposition of the Wiener Measure: Schwarzian Theory Versus Conformal Quantum Mechanics
Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwar...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Belokurov, V. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Pleiades Publishing, Ltd. 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Theoretical and mathematical physics - Pleiades Publishing, 1969, 200(2019), 3 vom: Sept., Seite 1324-1334 |
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| Übergeordnetes Werk: |
volume:200 ; year:2019 ; number:3 ; month:09 ; pages:1324-1334 |
| Links: |
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| DOI / URN: |
10.1134/S004057791909006X |
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OLC2054246751 |
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| 520 | |a Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. | ||
| 650 | 4 | |a Wiener measure | |
| 650 | 4 | |a functional integral over the group of diffeomorphisms | |
| 700 | 1 | |a Shavgulidze, E. T. |4 aut | |
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10.1134/S004057791909006X doi (DE-627)OLC2054246751 (DE-He213)S004057791909006X-p DE-627 ger DE-627 rakwb eng 530 VZ Belokurov, V. V. verfasserin aut Polar Decomposition of the Wiener Measure: Schwarzian Theory Versus Conformal Quantum Mechanics 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2019 Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. Wiener measure functional integral over the group of diffeomorphisms Shavgulidze, E. T. aut Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 200(2019), 3 vom: Sept., Seite 1324-1334 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:200 year:2019 number:3 month:09 pages:1324-1334 https://doi.org/10.1134/S004057791909006X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 AR 200 2019 3 09 1324-1334 |
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10.1134/S004057791909006X doi (DE-627)OLC2054246751 (DE-He213)S004057791909006X-p DE-627 ger DE-627 rakwb eng 530 VZ Belokurov, V. V. verfasserin aut Polar Decomposition of the Wiener Measure: Schwarzian Theory Versus Conformal Quantum Mechanics 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2019 Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. Wiener measure functional integral over the group of diffeomorphisms Shavgulidze, E. T. aut Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 200(2019), 3 vom: Sept., Seite 1324-1334 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:200 year:2019 number:3 month:09 pages:1324-1334 https://doi.org/10.1134/S004057791909006X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 AR 200 2019 3 09 1324-1334 |
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10.1134/S004057791909006X doi (DE-627)OLC2054246751 (DE-He213)S004057791909006X-p DE-627 ger DE-627 rakwb eng 530 VZ Belokurov, V. V. verfasserin aut Polar Decomposition of the Wiener Measure: Schwarzian Theory Versus Conformal Quantum Mechanics 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2019 Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. Wiener measure functional integral over the group of diffeomorphisms Shavgulidze, E. T. aut Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 200(2019), 3 vom: Sept., Seite 1324-1334 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:200 year:2019 number:3 month:09 pages:1324-1334 https://doi.org/10.1134/S004057791909006X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 AR 200 2019 3 09 1324-1334 |
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10.1134/S004057791909006X doi (DE-627)OLC2054246751 (DE-He213)S004057791909006X-p DE-627 ger DE-627 rakwb eng 530 VZ Belokurov, V. V. verfasserin aut Polar Decomposition of the Wiener Measure: Schwarzian Theory Versus Conformal Quantum Mechanics 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2019 Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. Wiener measure functional integral over the group of diffeomorphisms Shavgulidze, E. T. aut Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 200(2019), 3 vom: Sept., Seite 1324-1334 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:200 year:2019 number:3 month:09 pages:1324-1334 https://doi.org/10.1134/S004057791909006X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 AR 200 2019 3 09 1324-1334 |
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10.1134/S004057791909006X doi (DE-627)OLC2054246751 (DE-He213)S004057791909006X-p DE-627 ger DE-627 rakwb eng 530 VZ Belokurov, V. V. verfasserin aut Polar Decomposition of the Wiener Measure: Schwarzian Theory Versus Conformal Quantum Mechanics 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Pleiades Publishing, Ltd. 2019 Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. Wiener measure functional integral over the group of diffeomorphisms Shavgulidze, E. T. aut Enthalten in Theoretical and mathematical physics Pleiades Publishing, 1969 200(2019), 3 vom: Sept., Seite 1324-1334 (DE-627)130017507 (DE-600)420246-6 (DE-576)01556018X 0040-5779 nnns volume:200 year:2019 number:3 month:09 pages:1324-1334 https://doi.org/10.1134/S004057791909006X lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_70 AR 200 2019 3 09 1324-1334 |
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Polar Decomposition of the Wiener Measure: Schwarzian Theory Versus Conformal Quantum Mechanics |
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Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. © Pleiades Publishing, Ltd. 2019 |
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Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. © Pleiades Publishing, Ltd. 2019 |
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Abstract We find an explicit form of the polar decomposition of the Wiener measure and obtain an equation relating functional integrals in conformai quantum mechanics to functional integrals in the Schwarzian theory. Using this relation, we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schrödinger equation in imaginary time in the model of conformal quantum mechanics. © Pleiades Publishing, Ltd. 2019 |
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