Grand Unified Theory

Recommended Prerequisites

Quantum Field Theory, Particle Physics.

Teaching Methods

Expository teaching with frequent references to the motivation that led to the formulation of models that include the standard model. Emphasis will be given to the mathematical techniques required for the formulation of these models.

Learning Outcomes

- Charge quantisation;

- Reduction of the number of gauge interactions;

- Representations for the Standard Model fermions;

- Representations for the Standard Model bosons;

- The physics of the Higgs particle.

Work Placement(s)

No

Syllabus

- The idea of unification: motivation (charge quantisation, reduction of gauge interactions number, representations of the Standard Model fermions), forecasts (proton decay, magnetic monopoles).

- SU(5) representations for gauge bosons, matter, Higgses, symmetry breaking, terms of Yukawa, i.e. mass relations, how to compute the corrections to these terms, the failures of the minimal model of Georgi-Glashow.

In a more advanced program also consider:

- SO(10), similar to the program provides symmetry, with special emphasis on spinorial representations where there are fermions, breaks in various forms (Pati / Salam, Left-Right).

- Supersymmetric unification. The proton decay.

Assessment Methods

Assessment
Exam: 50.0%
Resolution Problems: 50.0%

Bibliography

Quantum field Theory in a nutshell, A. Zee;

http://www-f1.ijs.si/~bajc/kopaproc.pdf e bibliografia lá indicada