https://doi.org/10.1140/epjc/s10052-019-6956-4
Regular Article - Theoretical Physics
Scheme dependence of asymptotically free solutions
1
Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, 07743, Jena, Germany
2
Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743, Jena, Germany
3
Helmholtz-Institut Jena, Fröbelstieg 3, 07743, Jena, Germany
4
Institute of Physics, NAWI Graz, University of Graz, Universitätsplatz 5, 8010, Graz, Austria
* e-mail: rene.sondenheimer@uni-graz.at
Received:
7
February
2019
Accepted:
17
May
2019
Published online:
1
June
2019
Recent studies have provided evidence for the existence of new asymptotically free trajectories in non-Abelian particle models without asymptotic symmetry in the high-energy limit. We extend these results to a general 
Higgs-Yukawa model that includes the non-Abelian sector of the standard model, finding further confirmation for such scenarios for a wide class of regularizations that account for threshold behavior persisting to highest energies. We construct these asymptotically free trajectories within conventional 
schemes and systematic weak coupling expansions. The existence of these solutions is argued to be a scheme-independent phenomenon, as demonstrated for mass-dependent schemes based on general momentum-space infrared regularizations. A change of scheme induces a map of the theory’s coupling space onto itself, which in the present case also translates into a reparametrization of the space of asymptotically free solutions.
© The Author(s), 2019
