Background field Landau mode operators for the nucleon
Abstract
The introduction of a uniform background magnetic field breaks threedimensional spatial symmetry for a charged particle and introduces Landau mode effects. Standard quark operators are inefficient at isolating the nucleon correlation function at nontrivial field strengths. We introduce novel quark operators constructed from the twodimensional Laplacian eigenmodes that describe a charged particle on a finite lattice. These eigenmode-projected quark operators provide enhanced precision for calculating nucleon energy shifts in a magnetic field. Preliminary results are obtained for the neutron and proton magnetic polarisabilities using these methods.
- Publication:
-
European Physical Journal Web of Conferences
- Pub Date:
- March 2018
- DOI:
- 10.1051/epjconf/201817505018
- arXiv:
- arXiv:1711.07161
- Bibcode:
- 2018EPJWC.17505018K
- Keywords:
-
- High Energy Physics - Lattice
- E-Print:
- 8 pages, 5 figures, proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain