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      The background field method on the lattice

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          Abstract

          The background field method has been used successfully to determine hadron electromagnetic polarizabilities. Recently questions have been raised regarding the proper way to deal with the electric field on the lattice. In this paper, we show how the presence of a background electric field affects the quark hopping matrix. We use this formulation to carry out simulations on quenched configurations, and we present the results for neutron electric polarizability for pion masses as low as \(500\MeV\). We find that the polarizability is roughly constant for the quark masses considered, \(\alpha\sim 1.5 \times 10^{-4} \fm^3\). While the polarizability is positive, it is significantly smaller than the experimental value due to the fact that the quark masses used are too large.

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          Author and article information

          Journal
          2008-10-15
          Article
          0810.2833

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          PoS LATTICE2008:145,2008
          8 Pages, Talk at the XXVI International Symposium on Lattice Field Theory July 14-19 2008, Williamsburg, Virginia, USA
          hep-lat

          High energy & Particle physics

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