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- W2891164183 abstract "This paper describes a rigorous mathematical formulation providing a divergence free framework for QCD and the electroweak theory in curved space-time. The starting point of the theory is the notion of covariance which is interpreted as (4D) conformal covariance rather than the general (diffeomorphism) covariance of general relativity. Fock space which is a graded algebra composed of tensor valued function spaces associated with spaces of multiparticle bosonic or fermionic states is defined concretely. Algebra bundles whose typical fibers are algebras such as the Fock algebra are defined. Scattering processes are associated with linear maps between fibers in such bundles. Such linear maps can be generated by linear operators between the multiparticle function spaces which intertwine with the actions of the group $SU(3)$ associated with the strong interaction and a group locally isomorphic to $SL(2,{bf C})times U(1)$ which is associated with the electroweak interaction and such intertwining, or covariant, operators may be generated by covariant integral kernels. It is shown how quark-quark scattering and gluon-gluon scattering are associated with such covariant kernels. The rest of the paper focuses on QCD vacuum polarization in order to compute and display the QCD running coupling. Through an application of the technique called spectral regularization the densities associated with the quark, gluon and ghost bubbles are computed without requiring renormalization and hence the QCD vacuum polarization tensor is determined. It is found that the spectral QCD running coupling does not manifest a Landau pole and has the property known as freezing of $alpha_s$ in the infrared." @default.
- W2891164183 created "2018-09-27" @default.
- W2891164183 creator A5036496627 @default.
- W2891164183 date "2018-09-12" @default.
- W2891164183 modified "2023-09-26" @default.
- W2891164183 title "Quantum chromodynamics through the geometry of Möbius structures" @default.
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