EU2C - Quantum Fields |
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Speaker |
Kanatchikov, Igor |
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Coauthors |
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| Talk Title |
Precanonical quantization and the functional Schroedinger representation in curved space time |
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Abstract |
We discuss precanonical quantization based on the De Donder-Weyl generalization of the Hamiltonian formalism, its generalization to curved space-time and the connection with the functional Schroedinger representation in the limiting case when the ultraviolet parameter $\varkapp$ introduced by precanonical quantization goes to infinity. We extend to curved space-time our earlier analysis of the relation between the precanonical quantization of scalar and Yang-Mills fields with their description in the functional Schroedinger representation. References: 1. B. Hatfield (1992) Quantum Field Theory of Point Particles and Strings. 2. I.V. Kanatchikov, Ehrenfest theorem in quantization, J. Geom. Symmetry Phys. 37 (2015) 43, arXiv:1501.00480. 3. I.V. Kanatchikov, On the precanonical structure of the Schr\"o\-dinger wave functional, Adv. Theor. Math. Phys. 20 (2016) 1377, arXiv:1312.4518 [hep-th]. 4. I. V. Kanatchikov, On the spectrum of DW Hamiltonian of quantum SU(2) gauge field, Int. J. Geom. Meth. Mod. Phys. 14 (2017) 1750123, arXiv:1706.01766 [hep-th]. 5. I. V. Kanatchikov, Schroedinger wave functional in quantum Yang-Mills theory from precanonical quantization, arXiv:1805. to appear. |
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