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Title: Topological phases for bound states moving in a finite volume

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.

Authors:
; ;  [1];  [2];  [1]
  1. Helmholtz-Institut fuer Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universitaet Bonn, 53115 Bonn (Germany)
  2. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 (United States)
Publication Date:
OSTI Identifier:
21607987
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 84; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.84.091503; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUND STATE; CORRECTIONS; LATTICE FIELD THEORY; MASS; MOLECULES; NUCLEI; NUCLEONS; PERIODICITY; SIMULATION; TOPOLOGY; BARYONS; CONSTRUCTIVE FIELD THEORY; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; MATHEMATICS; QUANTUM FIELD THEORY; VARIATIONS

Citation Formats

Bour, Shahin, Koenig, Sebastian, Hammer, H -W, Lee, Dean, Meissner, Ulf-G, and Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich. Topological phases for bound states moving in a finite volume. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.84.091503.
Bour, Shahin, Koenig, Sebastian, Hammer, H -W, Lee, Dean, Meissner, Ulf-G, & Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich. Topological phases for bound states moving in a finite volume. United States. https://doi.org/10.1103/PHYSREVD.84.091503
Bour, Shahin, Koenig, Sebastian, Hammer, H -W, Lee, Dean, Meissner, Ulf-G, and Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich. 2011. "Topological phases for bound states moving in a finite volume". United States. https://doi.org/10.1103/PHYSREVD.84.091503.
@article{osti_21607987,
title = {Topological phases for bound states moving in a finite volume},
author = {Bour, Shahin and Koenig, Sebastian and Hammer, H -W and Lee, Dean and Meissner, Ulf-G and Institut fuer Kernphysik, Institute for Advanced Simulation and Juelich Center for Hadron Physics, Forschungszentrum Juelich, D-52425 Juelich},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.84.091503},
url = {https://www.osti.gov/biblio/21607987}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 9,
volume = 84,
place = {United States},
year = {Tue Nov 01 00:00:00 EDT 2011},
month = {Tue Nov 01 00:00:00 EDT 2011}
}