Physical Science & Biophysics Journal (PSBJ)
ISSN: 2641-9165
Mini Review
Square Root Metric Geometry and Pati-Salam Model in Curved
Space-Time
Abstract
There is a U(4' )×U(4)-bundle on four-dimensional square root Lorentz manifold. Then a Pati-Salam model in curved space-time can be constructed on square root Lorentz manifold based on self-parallel transportation principle. An explicit formulation of Sheaf quantization on this square root Lorentz manifold is shown and the transition amplitude in path integral quantization is given.
Keywords: Lorentz Manifold; Geometrization Principle of Physics; Pati-Salam Model; Hermitian Property; Lagrangian Density; Sheaf Quantization and Path Integral Quantization
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