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.
Highlights
In the presence of a magnetic field B, for small values of the field strength it is possible to form an expansion for the energy E of a baryon asE(B) = M + μ · B + |q B| − 1 4 π β B2 + · · · (1)The magnetic moment μ appears in the coefficient of the linear term, and the quadratic term contains the magnetic polarisability β
The magnetic moments and polarisabilities of the proton and neutron are of great interest, and lattice QCD calculations provide an opportunity to compare with experimental values and gain insight into the underlying physics [1,2,3]
An advantage of using the U(1) × SU(3) Laplacian projector is that it is well defined at zero magnetic field strength, where the U(1) field is equal to unity
Summary
Matthias Burkardt2, 1Special Research Centre for the Subatomic Structure of Matter, University of Adelaide, Australia 2Department of Physics, New Mexico State University, Las Cruces, NM 88003-001, U.S.A
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