English

Bound state properties from the Functional Renormalisation Group

High Energy Physics - Phenomenology 2019-04-03 v2

Abstract

We discuss an approach for accessing bound state properties, like mass and decay width, of a theory within the functional renormalisation group approach. An important cornerstone is the dynamical hadronization technique for resonant interaction channels. The general framework is exemplified and put to work within the two-flavour quark-meson model. This model provides a low-energy description of the dynamics of two-flavour QCD with quark and hadronic degrees of freedom. We compare explicitly the respective results for correlation functions and observables with first principle QCD results in a quantitative manner. This allows us to estimate the validity range of low energy effective models. We also present first results for pole masses and decay widths. Next steps involving real-time formulations of the functional renormalisation group are discussed.

Keywords

Cite

@article{arxiv.1810.07955,
  title  = {Bound state properties from the Functional Renormalisation Group},
  author = {Reinhard Alkofer and Axel Maas and Walid Ahmed Mian and Mario Mitter and Jordi París-López and Jan M. Pawlowski and Nicolas Wink},
  journal= {arXiv preprint arXiv:1810.07955},
  year   = {2019}
}

Comments

Version submitted to Journal

R2 v1 2026-06-23T04:44:17.889Z