Standard Model and QCD

Recommended Prerequisites

Quantum Mechanics and Special Relativity.

Teaching Methods

Constant reference to the physical systems to which the quantum relativistic descriptions apply. Emphasis on the related mathematical techniques necessary to obtain particle properties.     

Learning Outcomes

  - The phenomenology of Elementary Particle Physics in terms of the Standard Model.

  - Calculation of the Feynman rules  associated with a quanum theory with gauge invariance.

  - Use of the renormalization group methods to calculate couplings at different scales.

  - Use of the parton model and effective field models in the calculation of hadronic cross sections. 

Work Placement(s)

No

Syllabus

-Symmetries: chiral fermions, Noether theorem, Ward-Takahashi identities, gauge symmetries and Slavnov-Taylor identities.

 - Spontaneous symmetry breaking and Goldstone theorem.

 - The Standard Model Lagrangian: the electroweak and hadronic sectors, the Higgs sector.

 - Quantization of the Standard Model Lagrangian.

 - QCD: asymptotic freedom and renormalization group.

 - The parton model.

 - The  non-perturbatie regime of QCD and effective theory approaches.  

Head Lecturer(s)

Brigitte Anabelle Vaz Abreu Hiller

Assessment Methods

Assessment
Project: 40.0%
Resolution Problems: 60.0%

Bibliography

J. F. Donoghue, E. Golowich, B. R. Hostein, Dynamics of the Standard Model, CUP (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology), 1996

E. Leader, E. Predassi, An Introduction to Gauge Theories and Modern Particle Physics, Vol 1 & 2, (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology), 2008;  

 

I.J. R. Aitchison and A.J.G. Hey, Gauge theories in particle physics, Vol. I & 2 (IoP publishing 2004)

 

S. Pokorski, Gauge field theories, 2^nd edition, Cambridge university press.