TY - JOUR

T1 - Affine group formulation of the Standard Model coupled to gravity

AU - Chou, Ching Yi

AU - Ita, Eyo

AU - Soo, Chopin

N1 - Funding Information:
This work has been supported in part by the Office of Naval Research under Grant No. N-00-1613-WX-20992 , the National Science Council of Taiwan under Grant No. NSC 101-2112-M-006-007-MY3 , and the National Center for Theoretical Sciences , Taiwan.

PY - 2014/4

Y1 - 2014/4

N2 - In this work we apply the affine group formalism for four dimensional gravity of Lorentzian signature, which is based on Klauder's affine algebraic program, to the formulation of the Hamiltonian constraint of the interaction of matter and all forces, including gravity with non-vanishing cosmological constant Λ, as an affine Lie algebra. We use the hermitian action of fermions coupled to gravitation and Yang-Mills theory to find the density weight one fermionic super-Hamiltonian constraint. This term, combined with the Yang-Mills and Higgs energy densities, are composed with York's integrated time functional. The result, when combined with the imaginary part of the Chern-Simons functional Q, forms the affine commutation relation with the volume element V (x) Affine algebraic quantization of gravitation and matter on equal footing implies a fundamental uncertainty relation which is predicated upon a non-vanishing cosmological constant.

AB - In this work we apply the affine group formalism for four dimensional gravity of Lorentzian signature, which is based on Klauder's affine algebraic program, to the formulation of the Hamiltonian constraint of the interaction of matter and all forces, including gravity with non-vanishing cosmological constant Λ, as an affine Lie algebra. We use the hermitian action of fermions coupled to gravitation and Yang-Mills theory to find the density weight one fermionic super-Hamiltonian constraint. This term, combined with the Yang-Mills and Higgs energy densities, are composed with York's integrated time functional. The result, when combined with the imaginary part of the Chern-Simons functional Q, forms the affine commutation relation with the volume element V (x) Affine algebraic quantization of gravitation and matter on equal footing implies a fundamental uncertainty relation which is predicated upon a non-vanishing cosmological constant.

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U2 - 10.1016/j.aop.2014.01.017

DO - 10.1016/j.aop.2014.01.017

M3 - Article

AN - SCOPUS:84894491543

VL - 343

SP - 153

EP - 163

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

ER -