ON INFINITESIMALLY DEFORMED FIELD THEORY
Fawzia Mohamed Elsayed Khaliel;
Abstract
The present thesis is a study of the infinitesimally deformed (ID) field theory. It consists of three chapters and three appendices .
The first chapter contains an introduction to quantum chromodynamics
In the second chapter, we discuss the quantum groups and q- deformed oscillator. In particular we show how the properties of q- deformed oscillator are extended to the field theory. In this chapter the anyonic variables are also discussed.
In the third chapter, we discuss the physics of the ID field theory. We apply infinitesimal deformation to
divergences. We also apply infinitesimal deformation to the QCD field theory. We suggest that ID field theory is more suitable than the ordinary one in discribing the high energy interactions and prove that ID QCD theory is also as •mptotically free.
The appendix A contains computations of the one - loop corrections at zero tempera ture.
The appendix B contains computations of the one - loop corrections at finite temperature.
In the appendix C, we calculate some 4 - dimensional integrals by using the cut off method.
The first chapter contains an introduction to quantum chromodynamics
In the second chapter, we discuss the quantum groups and q- deformed oscillator. In particular we show how the properties of q- deformed oscillator are extended to the field theory. In this chapter the anyonic variables are also discussed.
In the third chapter, we discuss the physics of the ID field theory. We apply infinitesimal deformation to
divergences. We also apply infinitesimal deformation to the QCD field theory. We suggest that ID field theory is more suitable than the ordinary one in discribing the high energy interactions and prove that ID QCD theory is also as •mptotically free.
The appendix A contains computations of the one - loop corrections at zero tempera ture.
The appendix B contains computations of the one - loop corrections at finite temperature.
In the appendix C, we calculate some 4 - dimensional integrals by using the cut off method.
Other data
| Title | ON INFINITESIMALLY DEFORMED FIELD THEORY | Other Titles | عن التشوهات المتناهية فى الصغر لنظرية المجال | Authors | Fawzia Mohamed Elsayed Khaliel | Issue Date | 1996 |
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