Finite temperature $0^{-+}$ glueball spectrum from non-susy D3 brane of Type IIB string theory
| Autor: | Kuntal Nayek, Shibaji Roy |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
High Energy Physics - Phenomenology Nuclear and High Energy Physics High Energy Physics - Lattice High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) High Energy Physics::Lattice High Energy Physics::Phenomenology High Energy Physics - Lattice (hep-lat) FOS: Physical sciences |
| Zdroj: | Physics Letters |
| DOI: | 10.48550/arxiv.2105.01503 |
| Popis: | Here, we calculate the pseudo-scalar glueball mass at finite temperature from the holographic QCD in $3+1$ dimensions. The decoupled geometry of the non-supersymmetric (non-susy) D$3$ brane at the finite temperature which is the solution of the type-II supergravity is considered as the dual theory of QCD. We calculate the mass spectrum from the axion fluctuation in this gravity background using WKB approximations. Approximating the WKB equation for various orders of mass, we derive the analytical expressions of the mass spectrum of $0^{-+}$ at the finite temperature. Finally we evaluate the masses numerically as $m_{-+}=2.5$GeV and $m_{-+}^*=3.8$GeV from the complete WKB equation. The mass of a given state is found to decrease with increasing temperature and becomes zero at confinement -deconfinement transition temperature which is consistent with the idea of deconfinement and also matches with some recent lattice results. From this temperature variation, the QCD transition point is found to be about $186$MeV. Comment: 6 pages, 2 figures, 3 tables; more clarifications added; version to appear in Physics Letters B |
| Databáze: | OpenAIRE |
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