Table of Contents
Physics Research International
Volume 2014, Article ID 435023, 8 pages
Research Article

Linear Sigma Model at Finite Temperature and Baryonic Chemical Potential Using the -Midpoint Technique

Department of Mathematics, Faculty of Science, Menoufia University, Menoufia, Shiben El-Koom, 32511, Egypt

Received 6 October 2013; Accepted 23 January 2014; Published 6 March 2014

Academic Editor: Anand Pathak

Copyright © 2014 M. Abu-Shady. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A baryonic chemical potential ( ) is included in the linear sigma model at finite temperature. The effective mesonic potential is numerically calculated using the -midpoint rule. The meson masses are investigated as functions of the temperature ( ) at fixed value of baryonic chemical potential. The pressure and energy density are investigated as functions of temperature at fixed value of . The obtained results are in good agreement in comparison with other techniques. We conclude that the calculated effective potential successfully predicts the meson properties and thermodynamic properties at finite baryonic chemical potential.