SU(2) tetrahedron flux distribution few body effect in lattice QCD Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/h702q935v

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  • We study the four-quark interaction as a first step in understanding the QCD origin of the nuclear force in nature. We simulate QCD on a 20 x 20 x 20 x 32 space-time lattice with the simplifying quenched and static approximations, and with the SU(2) gauge group. Recent four-quark simulations reveal interesting tetrahedral geometry and planar four-quark flux distributions that cannot be explained by existing models. We simulate the flux distribution for the still-unexplored next higher level of geometrical complexity, namely four quarks on the corners of a tetrahedron. In order to complete the simulation within the allotted computing time, we have improved the approach used to simulate the flux distribution. Compared to previous approaches, the new approach nearly eliminates the bottleneck of the computing time, provides more than a 100-time speedup in our project, and also provides a better strategy for improving signal-noise ratio and suppressing signal distortion from the lattice structure. As the result of this improved approach, we have observed the long diagonal flux tube structure, repeated the Helsinki group's 1998 results for the flux distribution of a square geometry, and, for the first time, simulated the flux distribution of a tetrahedron geometry. In this thesis, we also explore some fundamental questions of lattice QCD related to computability theory and complexity theory.
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