TY - JOUR

T1 - Bound state spectrum in the finite volume

AU - Sasaki, Shoichi

AU - Yamazaki, Takeshi

N1 - Funding Information:
Thanks to RIKEN, Brookhaven National Laboratory and the U.S. DOE for providing the facilities essential for the completion of this work.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-Non Commercial-ShareAlike Licence.

PY - 2005

Y1 - 2005

N2 - The signature of bound state formation on the lattice is of particular interest in this talk. In the finite volume, where all states have discrete energies, it is rather hard to distinguish between a bound state and a scattering state if the bound state were close to threshold, i.e. like a "loosely bound state". To study bound states in the finite volume, we calculate the positronium spec-troscopy in the Higgs phase of U(1) gauge dynamics, where the photon is massive and then massive photons give rise to the short-ranged interparticle force. We try to identify bound state formation on the basis of the Lüscher's finite size method, which suggests specific volume dependences of the energy gap/shift from the threshold energy for either bound states or scattering states.

AB - The signature of bound state formation on the lattice is of particular interest in this talk. In the finite volume, where all states have discrete energies, it is rather hard to distinguish between a bound state and a scattering state if the bound state were close to threshold, i.e. like a "loosely bound state". To study bound states in the finite volume, we calculate the positronium spec-troscopy in the Higgs phase of U(1) gauge dynamics, where the photon is massive and then massive photons give rise to the short-ranged interparticle force. We try to identify bound state formation on the basis of the Lüscher's finite size method, which suggests specific volume dependences of the energy gap/shift from the threshold energy for either bound states or scattering states.

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U2 - 10.22323/1.020.0061

DO - 10.22323/1.020.0061

M3 - Conference article

AN - SCOPUS:85056846128

VL - 20

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - 23rd International Symposium on Lattice Field Theory, LAT 2005

Y2 - 25 July 2005 through 30 July 2005

ER -