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A matrix model for QCD

Balachandran, AP and Vaidya, Sachindeo and de Queiroz, Amilcar R (2015) A matrix model for QCD. In: MODERN PHYSICS LETTERS A, 30 (16).

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Official URL: http://www.worldscientific.com/doi/pdf/10.1142/S02...


Gribov's observation that global gauge fixing is impossible has led to suggestions that there may be a deep connection between gauge fixing and confinement. We find an unexpected relation between the topological nontriviality of the gauge bundle and colored states in SU(N) Yang-Mills theory, and show that such states are necessarily impure. We approximate QCD by a rectangular matrix model that captures the essential topological features of the gauge bundle, and demonstrate the impure nature of colored states explicitly. Our matrix model also allows the inclusion of the QCD theta-term, as well as to perform explicit computations of low-lying glueball masses. This mass spectrum is gapped. Since an impure state cannot evolve to a pure one by a unitary transformation, our result shows that the solution to the confinement problem in pure QCD is fundamentally quantum information-theoretic.

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
Date Deposited: 15 Jun 2015 08:54
Last Modified: 15 Jun 2015 08:54
URI: http://eprints.iisc.ac.in/id/eprint/51636

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