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Pion in a uniform background magnetic field with clover fermions
- Source :
- Phys. Rev. D 100, 114518 (2019)
- Publication Year :
- 2019
-
Abstract
- Background field methods provide an important nonperturbative formalism for the determination of hadronic properties which are complementary to matrix-element calculations. However, new challenges are encountered when utilising a fermion action exposed to additive mass renormalisations. In this case, the background field can induce an undesired field-dependent additive mass renormalisation that acts to change the quark mass as the background field is changed. For example, in a calculation utilising Wilson fermions in a uniform background magnetic field, the Wilson term introduced a field-dependent renormalisation to the quark mass which manifests itself in an unphysical increase of the neutral-pion mass for large magnetic fields. Herein, the clover fermion action is studied to determine the extent to which the removal of $\mathcal{O}(a)$ discretisation errors suppresses the field-dependent changes to the quark mass. We illustrate how a careful treatment of nonperturbative improvement is necessary to resolve this artefact of the Wilson term. Using the $32^3 \times 64$ dynamical-fermion lattices provided by the PACS-CS Collaboration we demonstrate how our technique suppresses the unphysical mass renormalisation over a broad range of magnetic field strengths.<br />Comment: 10 pages, 7 figures, version published in Phys. Rev. D
- Subjects :
- High Energy Physics - Lattice
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 100, 114518 (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1910.14244
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.100.114518