Lagrangian formulation of yang-Mills-Higgs field in fractional D dimensional space-time

Other Title(s)

صياغة لاجرانج لمجال يانغ-ميلز-هيغز بالمشتقة الكسرية في أبعاد المكان و الزمن

Dissertant

al-Khalayfih, Muhib Ahmad

Thesis advisor

Jaradat, Imad Khalid Yusuf

Comitee Members

al-Dumur, Hammud Abd al-Hamid
al-Tarawinah, Muadh
Abu al-Rubb, Ahmad

University

Mutah University

Faculty

Faculty of Science

Department

Department of physics

University Country

Jordan

Degree

Master

Degree Date

2017

English Abstract

The main goal for this work is to reformulate the Lagrangian for Yang-Mills-Higgs filedin fractional form by using Caputo and Riemann-Liouville fractional derivatives, using Euler- Lagrange equation in fractional form to find the equations of motion, and find the Hamiltonian density by the same method.

By usingNoether's theorem it's found some conservative quantities like momentum and energy (stress energy tensor), and reformulate it by using fractional derivative.

Finally, it's found that the equations in classical result are a special case of fractional form for the quantities above

Main Subjects

Physics

Topics

No. of Pages

60

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Fractional calculus.

Chapter Three : Classical field theory.

Chapter Four : Yang-Mills-Higgs (YMH) field.

References.

American Psychological Association (APA)

al-Khalayfih, Muhib Ahmad. (2017). Lagrangian formulation of yang-Mills-Higgs field in fractional D dimensional space-time. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-749488

Modern Language Association (MLA)

al-Khalayfih, Muhib Ahmad. Lagrangian formulation of yang-Mills-Higgs field in fractional D dimensional space-time. (Master's theses Theses and Dissertations Master). Mutah University. (2017).
https://search.emarefa.net/detail/BIM-749488

American Medical Association (AMA)

al-Khalayfih, Muhib Ahmad. (2017). Lagrangian formulation of yang-Mills-Higgs field in fractional D dimensional space-time. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-749488

Language

English

Data Type

Arab Theses

Record ID

BIM-749488