Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8187213 | Physics Letters B | 2018 | 5 Pages |
Abstract
Schrödinger equation with potential âg/r2 exhibits a limit cycle, described in the literature in a broad range of contexts using various regularizations of the singularity at r=0. Instead, we use the renormalization group transformation based on Gaussian elimination, from the Hamiltonian eigenvalue problem, of high momentum modes above a finite, floating cutoff scale. The procedure identifies a richer structure than the one we found in the literature. Namely, it directly yields an equation that determines the renormalized Hamiltonians as functions of the floating cutoff: solutions to this equation exhibit, in addition to the limit-cycle, also the asymptotic-freedom, triviality, and fixed-point behaviors, the latter in vicinity of infinitely many separate pairs of fixed points in different partial waves for different values of g.
Related Topics
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Authors
S.M. Dawid, R. Gonsior, J. Kwapisz, K. Serafin, M. Tobolski, S.D. GÅazek,