QCD phase transitions

Routine to solve the system of integro-differential equations in Julia 1.3.

A first approach to the study ofthe QCD phase transition in cosmology
Aldo Gamboa ¹, David Guzmán¹, Victor Knapp¹, José Padua^1,2, Saúl Ramos-Sánchez ^2,3
1Facultad de Ciencias, Universidad Nacional Autónoma de México, ²Instituto de Física, Universidad Nacional Autónoma de México, ³Physik Department T75, Technische Universität München

Abstract: The cosmological QCD confinement is studied as a first order phase transition with the MIT bag model. The basic concepts of cosmology, phase transitions, nucleation theory are introduced. The equations of the dynamics of the transition are established and a program is supplied for the numerical solution. The solution of the dynamics of the transition are studied varying the surface tension of the bubble, the critical temperature and the number of dynamical quarks for current limits. The objective of this article is to introduce the basics of the cosmological QCD phase transition for an advanced undergraduate or graduate student.

Project members

• Aldo Gamboa, Universidad Nacional Autónoma de México
• David Guzmán, Universidad Nacional Autónoma de México
• Victor Knapp, Universidad Nacional Autónoma de México
• José Padua, Universidad Nacional Autónoma de México
• Saúl Ramos-Sánchez, Universidad Nacional Autónoma de México, Technische Universität München

Getting started

To download Julia go to The Julia Programming Language. You will also need Jupyter to run the notebook, install Anaconda to get it. After that you will also need the Julia kernel for Jupyter, open Julia and type

using Pkg
Pkg.add("IJulia")

Then clone the repository (or download the zip)

git clone https://github.com/davidguzmanr/QCD-phase-transitions.git

Open the Jupyter notebook and run the notebook, you can change the different constants at the beginning, the whole routine can take several hours before it reaches .