GUTS, SUSY AND SUSYGUTS
Table of Contents
Page
Preface.........................................................................................................................................................1
Chapter 1) The Standard Model................................................................................................................8
1.0. Introduction
.....................................................................................................................8
1.1. The Glashow-Weinberg-Salam (GWS) Model of Electroweak Interactions
.....................10
1.1.1. Particle representations and the symmetric SU(2)xU(1) electroweak Lagrangian ...10
1.1.2. Spontaneous symmetry breaking, particle masses,
coupling constants, mixing angle, etc. ................28
1.2. Quantum Chromodynamics (QCD)
.................................................................................44
1.2.1. Particle representation and the symmetric SU(3) color Lagrangian
.........................49
1.2.2. Asymptotic freedom and confinement
...................................................................55
1.3. The Standard Model: SU(3) x SU(2) x U(1) family structure
............................................69
Chapter 2) Grand Unified Theories
(GUTS): The Georgi-Glashow SU(5) Model ......................................73
2.0. Introduction
....................................................................................................................73
2.1. The particle representations and the symmetric SU(5) Lagrangian
.....................................74
2.2. Proton decay, unification mass, \sin^ 2 \theta _W
............................................................117
2.3. Spontaneous symmetry breaking and fermion masses
......................................................133
Chapter 3) Supersymmetry (SUSY) and
Superspace
...............................................................................150
3.0. Introduction
....................................................................................................................150
3.1. Supersymmetry and superfields, superspace techniques, the
covariant derivative, supersymmetric actions, and all that
.......................................151
3.2. The Wess-Zumino model
................................................................................................193
3.3. Gauge invariance and supersymmetry
..............................................................................201
3.4. Supersymmetric Quantum Electrodynamics (SQED)
........................................................207
Chapter 4) Supersymmetric Grand
Unified Theories (SUSYGUTS)
..........................................................216
4.0. Introduction. Spontaneous symmetry breaking
.................................................................216
4.1. Super Georgi-Glasow SU(5) model
................................................................................224
4.2. Spontaneous symmetry breaking of super SU(5)
.............................................................228
4.3. Unification mass, \sin^2 \theta_W, m_b / m_\tau etc.
.......................................................236
4.4. Proton decay
..................................................................................................................243