Abstract

We consider an AdS/QCD model at finite temperature with a dilaton field that we call thermal because, in addition to depending on the holographic coordinate, it also depends on temperature. We study two thermal dilatons in this work such that at T=0 they are reduced to the dilatons used by some authors. With these dilatons it is possible to obtain melting temperatures for mesons close to 180 MeV and also make predictions for other hadrons. We use a procedure based on the analysis of the holographic potential related to the E.O.M. for modes dual to hadrons to calculate melting temperatures. This technique is easy to implement, and it produces results close to the one obtained from a more rigorous working with spectral functions to calculate hadron melting temperatures; therefore, it could be considered a first fast testing criterion for soft wall-like models at finite temperature.

Highlights

  • The understanding of how temperature or a very dense medium can affect hadronic properties is a topic that has attracted the interest of several physicists, who in their attempt to clarify the hadron phenomenology under these extreme conditions, have built research facilities to do a lot of complex experiments

  • AdS/QCD models allow the calculation of spectral functions in order to obtain hadronic properties such as the mass spectrum, decay widths and melting temperatures for different hadrons in the thermal bath

  • The simplicity when obtaining the holographic potential by means of the Bogolyubov transformation for different AdS – BH metrics and dilatons and its subsequent uses to calculate melting temperatures make this procedure a useful analytical tool: the method allows us to do an initial, quick test for AdS/QCD models at finite temperature

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Summary

Introduction

The understanding of how temperature or a very dense medium can affect hadronic properties is a topic that has attracted the interest of several physicists, who in their attempt to clarify the hadron phenomenology under these extreme conditions, have built research facilities to do a lot of complex experiments (e.g., see [1,2,3,4]). AdS/QCD models allow the calculation of spectral functions (e.g., see [15,16,17,18,19,20]) in order to obtain hadronic properties such as the mass spectrum, decay widths and melting temperatures for different hadrons in the thermal bath.

Results
Conclusion

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