Properties of compact U(1) gauge theory on the FCC lattice: Regge gravity, the conformal factor, and the gravitational hierarchy

Key Points

• The aim is to explore the gravitational properties and conformal factors in compact U(1) gauge theory on the FCC lattice.
• Utilized FCC honeycomb as a Regge triangulation
• Analyzed gravitational hierarchy and conformal factor
• Proved eigenvalue properties analytically
• Identified zero negative eigenvalues in the conformal factor problem
• Established gravitational hierarchy F_grav/F_EM as 2.89 x 10^-43
• Demonstrated consistent graviton propagator behavior converging to 1/k^2

Abstract