Dirac Spectra in Dense QCD by Takuya Kanazawa

By Takuya Kanazawa

Gaining a theoretical realizing of the homes of ultra-relativistic dense topic has been essentially the most very important and tough objectives in quantum chromodynamics (QCD). during this thesis, the writer analyzes dense quark subject in QCD with gauge team SU(2) utilizing low-energy potent theoretical options and elucidates a singular connection among statistical homes of the Dirac operator spectrum at excessive baryon chemical strength and a unique classification of random matrix theories. This paintings might be seen as an extension of the same correspondence among QCD and matrix versions which used to be formerly recognized just for infinitesimal chemical potentials. In destiny numerical simulations of dense topic the analytical effects mentioned listed here are anticipated to function a useful gizmo to extract actual observables resembling the BCS hole from numerical info at the Dirac spectrum.

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