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QCD Self-Consistent Only With a Self-Consistenct QED

Syed Afsar Abbas, Mohsin Ilahi, Sajad Ahmad Sheikh, Sheikh Salahudin

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Abstract

The Standard Model of particle physics, based on the group structure SU (N ) c ⊗ SU (2) L ⊗U (1) Y (f orN c = 3), has been very successful. However in it, the electric charge is not quantized and is fixed by hand to be 2/3 and -1/3. This is its major shortcoming. This model runs into conflict with another similarly structured, but actually quite different model, wherein the electric charge is fully quantized and depends upon colour degree of freedom as well. We study this basic conflict between these models and how they connect to a consistent study of Quantum Chromodynamics (QCD) for arbitrary number of colours. We run into a basic issue of consistency of Quantum Electrodynamics (QED) with these fundamentally different charges. Study of consistency of ( QCD + QED ) together, makes discriminating and conclusive statements about the relevance of these two model structures.

About this research paper

What this paper is about

The Standard Model of particle physics, based on the group structure SU (N ) c ⊗ SU (2) L ⊗U (1) Y (f orN c = 3), has been very successful. However in it, the electric charge is not quantized and is fixed by hand to be 2/3 and -1/3. This is its major shortcoming. This model runs into conflict with another similarly structured, but actually quite different model, wherein the electric charge is fully quantized and depends upon colour degree of freedom as well. We study this basic conflict between these models and how they connect to a consistent study of Quantum Chromodynamics (QCD) for arbitrary number of colours. We run into a basic issue of consistency of Quantum Electrodynamics (QED) with these fundamentally different charges. Study of consistency of ( QCD + QED ) together, makes discriminating and conclusive statements about the relevance of these two model structures.

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Available abstract

The Standard Model of particle physics, based on the group structure SU (N ) c ⊗ SU (2) L ⊗U (1) Y (f orN c = 3), has been very successful. However in it, the electric charge is not quantized and is fixed by hand to be 2/3 and -1/3. This is its major shortcoming. This model runs into conflict with another similarly structured, but actually quite different model, wherein the electric charge is fully quantized and depends upon colour degree of freedom as well. We study this basic conflict between these models and how they connect to a consistent study of Quantum Chromodynamics (QCD) for arbitrary number of colours. We run into a basic issue of consistency of Quantum Electrodynamics (QED) with these fundamentally different charges. Study of consistency of ( QCD + QED ) together, makes discriminating and conclusive statements about the relevance of these two model structures.

Key concepts: Quantum chromodynamics, Physics, Charge (physics), Consistency (knowledge bases), Electric charge, Particle physics, Standard Model (mathematical formulation), Theoretical physics

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