q-Deformed glueballs spectrum in AdS/QCD correspondence

Abstract

This work presents the application of the q-algebra in the glueballs spectrum. This algebra is implemented through Jackson derivatives in a Schrödinger-like equation resulting from the gravity fluctuations around the braneworld scenario in five dimensions. In our prescription, we consider a four-dimensional AdS$4$ brane, living in AdS$5$ bulk, that is also known for describing locally localized gravity via quasi-zero mode. At the appropriate limit, this background leads to confinement and allows us to find the shape of the $q$-deformed glueball spectrum in the AdS$5$/QCD$4$ correspondence. The introduction of the $q$-deformation provides us with a richer glueball spectrum.

15 pages, 1 figure

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