Non-perturbative decoupling of massive fermions

Tobias Rindlisbacher; Kari Rummukainen; Ahmed Salami; Kimmo Tuominen

doi:10.1103/PhysRevLett.129.131601

Non-perturbative decoupling of massive fermions

High Energy Physics - Lattice 2022-09-26 v2

Authors: Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

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Abstract

SU(2) gauge theory with Nf=24 massless fermions is non-interacting at long distances, i.e. it has an infrared fixed point at vanishing coupling. With massive fermions the fermions are expected to decouple at energy scales below the fermion mass, and the infrared behaviour is that of confining SU(2) pure gauge theory. We demonstrate this behaviour non-perturbatively with lattice Monte Carlo simulations by measuring the gradient flow running coupling.

Keywords

gauge theories and chiral symmetry fermion field theory and gross-neveu model lattice gauge theory

Cite

@article{arxiv.2110.13882,
  title  = {Non-perturbative decoupling of massive fermions},
  author = {Tobias Rindlisbacher and Kari Rummukainen and Ahmed Salami and Kimmo Tuominen},
  journal= {arXiv preprint arXiv:2110.13882},
  year   = {2022}
}

Comments

12 pages, 10 figures, appendix added

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