Glueballs Mass Spectrum in an Inflationary Braneworld Scenario

TL;DR

This paper investigates the mass spectrum of glueballs within a holographic dual framework in an inflationary braneworld scenario, linking bulk fluctuations to boundary field theory properties and cosmological parameters.

Contribution

It introduces a novel analysis of glueball masses in a deformed AdS space with a cosmological constant, connecting these to inflationary dynamics and the QCD equation of state.

Findings

Discretized glueball mass spectrum related to inflaton masses.

Expression of e-folds number in terms of glueball masses.

Insights into QCD equation of state in a de Sitter holographic setup.

Abstract

We address the issue of glueball masses in a holographic dual field theory on the boundary of an AdS space deformed by a four-dimensional cosmological constant. These glueballs are related to scalar and tensorial fluctuations of the bulk fields on this space. In the Euclidean AdS4 case the allowed masses are discretized and are related to distinct inflaton masses on a 3-brane with several states of inflation. We then obtain the e-folds number in terms of the glueball masses. In the last part we focus on the Lorentzian dS4 case to focus on the QCD equation of state in dual field theory.