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Non-Perturbative Fine-Tuning in Approximately Supersymmetric Models
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Non-Perturbative Fine-Tuning in Approximately Supersymmetric Models

Yannick Meurice
06/27/1999
DOI: 10.48550/arxiv.hep-lat/9906033
url
https://doi.org/10.48550/arxiv.hep-lat/9906033View
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Abstract

We present two Fermi-Bose models with an approximate supersymmetry and which can be solved with great accuracy using the renormalization group method. The bosonic parts of these models consist in Dyson's hierarchical model with one and two scalar components respectively. We discuss the question of the perturbative cancellation of divergences and compare with the non-perturbative fine-tunings necessary to keep the renormalized mass small in cut-off units. We show evidence for non-perturbative cancellations of quantum corrections, however, we were not able to achieve exact cancellations without fine-tuning.
Physics - High Energy Physics - Lattice

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