Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation
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| Creator |
Oeckl, R.
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| Description |
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the Kähler case, state spaces arise as spaces of holomorphic functions on linear spaces of classical solutions in neighborhoods of hypersurfaces. Amplitudes arise as integrals of such functions over spaces of classical solutions in regions of spacetime. We prove the validity of the TQFT-type axioms of the general boundary formulation under reasonable assumptions. We also develop the notions of vacuum and coherent states in this framework. As a first application we quantize evanescent waves in Klein-Gordon theory.
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| Date |
2019-02-18T11:17:54Z
2019-02-18T11:17:54Z 2012 |
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| Type |
Article
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| Identifier |
Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation / R. Oeckl // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 33 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 57R56; 81S10; 81T05; 81T20 DOI: http://dx.doi.org/10.3842/SIGMA.2012.050 http://dspace.nbuv.gov.ua/handle/123456789/148384 |
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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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