The Weyl-Mellin quantization map for $κ$-Minkowski Noncommutative Spacetime
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| Main Authors: | , , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866916792746639360 |
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| author | Carotenuto, Alessandro Lizzi, Fedele Manfredonia, Mattia Mercati, Flavio |
| author_facet | Carotenuto, Alessandro Lizzi, Fedele Manfredonia, Mattia Mercati, Flavio |
| contents | We present a quantization of the functions of spacetime, i.e.\ a map, analog to Weyl map, which reproduces the $κ$-Minkowski commutation relations, and it has the desirable properties of mapping square integrable funcions into Hilbert-Schmidt operators, as well as real functions into self-adjoint operators. The map is based on Mellin transform on radial and time coordinates. The map also define a deformed $*$ product which we discuss with examples. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2011_10628 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Weyl-Mellin quantization map for $κ$-Minkowski Noncommutative Spacetime Carotenuto, Alessandro Lizzi, Fedele Manfredonia, Mattia Mercati, Flavio High Energy Physics - Theory Mathematical Physics Quantum Algebra We present a quantization of the functions of spacetime, i.e.\ a map, analog to Weyl map, which reproduces the $κ$-Minkowski commutation relations, and it has the desirable properties of mapping square integrable funcions into Hilbert-Schmidt operators, as well as real functions into self-adjoint operators. The map is based on Mellin transform on radial and time coordinates. The map also define a deformed $*$ product which we discuss with examples. |
| title | The Weyl-Mellin quantization map for $κ$-Minkowski Noncommutative Spacetime |
| topic | High Energy Physics - Theory Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2011.10628 |