Abstract
The lowest dimensional gluon condensate G2 is analysed at finite temperature and chemical potential using a bottom/up holographic model of QCD. Starting from the free energy of the model, pressure, entropy and quark density are obtained. Moreover, at zero chemical potential, the temporal and spatial Wilson loops at low temperature are computed; they are related to the (chromo-)electric and magnetic components of G2, respectively.
Highlights
The gluon condensate G2 is the vacuum expectation value of the operator αs/πGaμνGa,μν, where Gaμν is the gluon field strength tensor
The lowest dimensional gluon condensate G2 is analysed at finite temperature and chemical potential using a bottom/up holographic model of Quantum Chromodynamics (QCD)
Some estimates have been obtained so far for this nonperturbative property of Quantum Chromodynamics (QCD), leading to the value G2 0.012 GeV4, which is affected by large uncertainties [1]
Summary
The gluon condensate G2 is the vacuum expectation value of the operator αs/πGaμνGa,μν, where Gaμν is the gluon field strength tensor. The gauge/gravity duality has opened a new way of studying QCD, in which nonperturbative calculations are performed within a semiclassical perturbative theory in a 5-dimensional (5d) curved spacetime To this aim, in the last decade, some phenomenological models have appeared, in which an effective Lagrangian is constructed in a 5d Anti-de Sitter space (AdS) by following two main guidelines: taking into account the dictionary of the AdS/CFT correspondence [2], and trying to mimic well-known QCD properties. In the last decade, some phenomenological models have appeared, in which an effective Lagrangian is constructed in a 5d Anti-de Sitter space (AdS) by following two main guidelines: taking into account the dictionary of the AdS/CFT correspondence [2], and trying to mimic well-known QCD properties Such a dictionary establishes how to relate quantities of QCD with the ones of the 5d theory.
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