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What Confinement Really Means in Quantum Chromodynamics

Syed Afsar Abbas

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Abstract

In spite of intense efforts it has not been possible to demonstrate that confinement of colour exists consistently in Quantum Chromodynamics. It is therefore one of the most puzzling issues in Quantum Chromodynamics. We study what antisymmetrization in colour space means fundamentally and how this is then matched with the conjugate symmetric state in the rest of the degrees of freedom of the quarks. It is shown that the present understanding, that confinement arises due to a single colour singlet state, is wrong. In this paper we prove that actually there are two independent colour singlet states, both of which are needed simultaneously to provide confinement in QCD. This in turn leads to a fundamental justification of the relativistic bag models and the non-relativistic quark models.

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What this paper is about

In spite of intense efforts it has not been possible to demonstrate that confinement of colour exists consistently in Quantum Chromodynamics. It is therefore one of the most puzzling issues in Quantum Chromodynamics. We study what antisymmetrization in colour space means fundamentally and how this is then matched with the conjugate symmetric state in the rest of the degrees of freedom of the quarks. It is shown that the present understanding, that confinement arises due to a single colour singlet state, is wrong. In this paper we prove that actually there are two independent colour singlet states, both of which are needed simultaneously to provide confinement in QCD. This in turn leads to a fundamental justification of the relativistic bag models and the non-relativistic quark models.

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Available abstract

In spite of intense efforts it has not been possible to demonstrate that confinement of colour exists consistently in Quantum Chromodynamics. It is therefore one of the most puzzling issues in Quantum Chromodynamics. We study what antisymmetrization in colour space means fundamentally and how this is then matched with the conjugate symmetric state in the rest of the degrees of freedom of the quarks. It is shown that the present understanding, that confinement arises due to a single colour singlet state, is wrong. In this paper we prove that actually there are two independent colour singlet states, both of which are needed simultaneously to provide confinement in QCD. This in turn leads to a fundamental justification of the relativistic bag models and the non-relativistic quark models.

Key concepts: Quantum chromodynamics, Physics, Color confinement, Quark, Degrees of freedom (physics and chemistry), Particle physics, Singlet state, Theoretical physics

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