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Start Over Author "Grocholski, Oskar" Topic mathematical physics
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1. Momentum approach to the $1/r^2$ potential as a toy model of the Wilsonian renormalization

Author

Dereziński, Jan and Grocholski, Oskar

Subjects
Mathematical Physics
Abstract

The Bessel operator, that is, the Schr\"odinger 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 \`a 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.

Published
2020
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