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Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice

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arxiv nucl-th/0402051 v1 pith:QFYJIBT2 submitted 2004-02-14 nucl-th hep-lathep-ph

Paulo F. Bedaque This is my paper · ORCID
classification nucl-thhep-lathep-ph
keywords fieldlatticebackgroundmomentanucleon-nucleonphaseshiftssmall
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We propose a method for the lattice QCD computation of nucleon-nucleon low-energy interactions. It consists in simulating QCD in the background of a ''electromagnetic" field whose potential is non-vanishing, but whose field strength is zero. By tuning the background field, phase-shifts at any (but small) momenta can be determined by measuring the shift of the ground state energy. Lattice sizes as small as 5 Fermi can be sufficient for the calculation of phase shifts up to momenta of order of $m_{\pi}/2$.

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    Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2)...

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