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Summary of the doctor thesis: Studying of the phase transition in linear sigma model

The aims of thesis: studying of the phase structure of LSM and LSMq with two different forms of symmetry breaking term: the standard case and non – standard case; studying of the effect from neutrality condition on the phase structure of LSM and LSMq; studying of the chiral phase transition in compactified space | MINISTRY OF EDUCATION AND TRAINING MINISTRY OF SCIENCE AND TECHNOLOGY VIETNAM ATOMIC ENERGY INSTITUTE NGUYEN VAN THU STUDYING OF THE PHASE TRANSITION IN LINEAR SIGMA MODEL A SUMMARY OF THE DOCTOR THESIS Speciality Theoritical and mathematical physics Code 62.44.01.01 Scientific supervisors PROF. DR. TRAN HUU PHAT DR. NGUYEN TUAN ANH HANOI 2011 THIS THESIS WAS COMPLETED AT INSTITUTE FOR NUCLEAR SCIENCE AND TECHNIQUE - VIETNAM ATOMIC ENERGY INSTITUTE Scientific supervisor PROF. DR. TRAN HUU PHAT DR. NGUYEN TUAN ANH First referee Prof. Dr. Nguyen Xuan Han Second referee Prof. Dr. Nguyen Vien Tho Third referee Prof. Dr. Dang Van Soa This thesis will be defended in the Scientific Counsil of Vietnam Atomic Energy Institute held on May 28 2012 THIS THESIS MAY BE FOUND AT THE VIETNAM NATIONAL LIBRARY AND ATOMIC ENERGY LIBRARY INTRODUCTION 1. The research topic The phase structure of QCD plays an impotant role in morden physics attracting intense experimental and theoretical investigations. Some theories and models are used in order to study the phase structure of QCD for example chiral pertubative theory Nambu-Jona-Lasinio NJL model Poliakov-NJL PNJL model linear sigma model LSM . Up to now the study of linear sigma model is still not complete. It is the reasons why we choose subject Studying of the phase transition in linear sigma model . 2. History of problem Studying of D. K. Campell R. F. Dashen J. T. Manassah is the first paper in which they studied LSM with two different forms of the symmetry breaking term standard case and non-standard case but they are restricted only within tree-level approximation. In higher order approximation present papers are researched in Hatree-Fock HF approximation expanded N - large or isospin chemical potential ICP is neglected. The study of the non-standard case is so far still absent. When constituent quarks are presented in the framework of NJL and PNJL models the researchs are quite complete. Meanwhile the linear sigma model with .