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| Natura: | Preprint |
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2020
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| Accesso online: | https://arxiv.org/abs/2012.11947 |
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| _version_ | 1866910492254011392 |
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| author | Dereziński, Jan Grocholski, Oskar |
| author_facet | Dereziński, Jan Grocholski, Oskar |
| contents | The Bessel operator, that is, the Schrödinger operator on the half-line with a potential proportional to $1/x^2$, is analyzed in the momentum representation. Many features of this analysis are parallel to the approach à la K. Wilson to Quantum Field Theory: one needs to impose a cutoff, add counterterms, study the renormalization group flow with its fixed points and limit cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_11947 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Momentum approach to the $1/r^2$ potential as a toy model of the Wilsonian renormalization Dereziński, Jan Grocholski, Oskar Mathematical Physics The Bessel operator, that is, the Schrödinger operator on the half-line with a potential proportional to $1/x^2$, is analyzed in the momentum representation. Many features of this analysis are parallel to the approach à la K. Wilson to Quantum Field Theory: one needs to impose a cutoff, add counterterms, study the renormalization group flow with its fixed points and limit cycles. |
| title | Momentum approach to the $1/r^2$ potential as a toy model of the Wilsonian renormalization |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2012.11947 |