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By Takuya Kanazawa

Gaining a theoretical figuring out of the homes of ultra-relativistic dense subject has been some of the most vital and hard objectives in quantum chromodynamics (QCD). during this thesis, the writer analyzes dense quark topic in QCD with gauge team SU(2) utilizing low-energy powerful theoretical thoughts and elucidates a unique connection among statistical houses of the Dirac operator spectrum at excessive baryon chemical strength and a different classification of random matrix theories. This paintings should be seen as an extension of an identical correspondence among QCD and matrix versions which used to be formerly identified just for infinitesimal chemical potentials. In destiny numerical simulations of dense topic the analytical effects mentioned listed below are anticipated to function a useful gizmo to extract actual observables resembling the BCS hole from numerical information at the Dirac spectrum.

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