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A matrix model for QCD: QCD color is mixed

Balachandran, AP and de Queiroz, Amilcar and Vaidya, Sachindeo (2015) A matrix model for QCD: QCD color is mixed. In: INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 30 (9).

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Official URL: http://dx.doi.org/10.1142/S0217751X15500645

Abstract

We use general arguments to show that colored QCD states when restricted to gauge invariant local observables are mixed. This result has important implications for confinement: a pure colorless state can never evolve into two colored states by unitary evolution. Furthermore, the mean energy in such a mixed colored state is infinite. Our arguments are confirmed in a matrix model for QCD that we have developed using the work of Narasimhan and Ramadas(3) and Singer.(2) This model, a (0 + 1)-dimensional quantum mechanical model for gluons free of divergences and capturing important topological aspects of QCD, is adapted to analytical and numerical work. It is also suitable to work on large N QCD. As applications, we show that the gluon spectrum is gapped and also estimate some low-lying levels for N = 2 and 3 (colors). Incidentally the considerations here are generic and apply to any non-Abelian gauge theory.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Keywords: Confinement; QCD; matrix model; mixed states
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 28 Apr 2015 07:48
Last Modified: 28 Apr 2015 07:48
URI: http://eprints.iisc.ac.in/id/eprint/51433

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