Affine group formulation of the Standard Model coupled to gravity

作者：Chou Ching Yi; Ita Eyo^*; Soo Chopin

来源：Annals of Physics, 2014, 343: 153-163.

DOI：10.1016/j.aop.2014.01.017

• Standard Model
• Affine group formulation
• Cosmological constant
• Hamiltonian constraint
• Commutation relation

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 A, 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. Published by Elsevier Inc.

• 出版日期2014-4
• 单位中国人民解放军海军大连舰艇学院