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Christopher Körber edited this page Dec 10, 2019 · 15 revisions

The Challenge

Limits for computations

Is it possible to go full circle (from any starting point) and receive consistent results?

Glossary

Term Meaning
Standard Lüscher Lüschers equation just like in his original papers. Translating continuum finite volume energy levels to SO(3) scattering information (phase shifts).
Cartesian Lüscher Lüschers equation modified such that the cutoff of the zeta function and the corresponding counter terms are explicitly computed in a cartesian (non-spherical!) volume.
Dispersion Lüscher Lüschers equation modified such that the cutoff of the zeta function is related to the lattice spacing and computed in a cartesian volume. The momenta which enter the zeta function are the momenta present on the lattice.
ERE Effective range expansion or phase shifts in the continuum and infinite volume (physical)
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