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Topological phases for bound states moving in a finite volume

Shahin Bour1, Sebastian König1, Dean Lee2, H.-W. Hammer1, and Ulf-G. Meißner1,3

  • 1Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
  • 2Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
  • 3Institut für Kernphysik, Institute for Advanced Simulation and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany

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Phys. Rev. D 84, 091503(R) – Published 28 November, 2011

DOI: https://doi.org/10.1103/PhysRevD.84.091503

Abstract

We show that bound states moving in a finite periodic volume have an energy correction which is topological in origin and universal in character. The topological volume corrections contain information about the number and mass of the constituents of the bound states. These results have broad applications to lattice calculations involving nucleons, nuclei, hadronic molecules, and cold atoms. We illustrate and verify the analytical results with several numerical lattice calculations.

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Synopsis

Coming off the Grid

Published 28 November, 2011

Theorists uncover universal effects underlying computer simulations of finite volume systems.

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Article Text

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Outline

Information

Phys. Rev. D 84, 091503(R)– Published 28 November, 2011
  • Received 14 July 2011
Article part of CHORUS

© 2011 American Physical Society

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