Course guide of Field and Particle Theory (26711C2)

It is advised to have passed the following subjects: Calculus I and II (Análisis matemático I y II), Linear Algebra and Geometry (Álgebra lineal y geometría), Mathematical Methods for Physics (Métodos matemáticos de la física), Mechanics and Wave Physics (Mecánica y ondas), Analytic Mechanics (Mecánica analítica y de los medios continuos), Quantum Physics (Fundamentos cuánticos).

• Relativistic fields (scalar fields; Dirac equation, antiparticles; vector fields; gauge symmetry).
• Standard Model (quarks and leptons, electroweak and strong interactions; Higgs boson).
• Elementary particle collisions and decays.

• Understand the concept of of fields and their crucial role in the interplay of special relativity and quantum mechanics.
• Learn and understand the physics laws that govern the subatomic world and the fundamental constituents of nature.
• Learn how to compute observables that allow to compare experimental data with theoretical predictions in particle physics.

1. Introduction. Lorentz and Poincaré symmetries. Particles and Fields.
2. Classical field theory.
3. Quantization of free fields.
4. Field interactions. S matrix and Feynman rules.
5. Observables: cross sections and decay widths.
6. Quantum Electrodynamics. Elementary processes at tree level.
7. Gauge theories and spontaneous symmetry breaking. The Standard Model.

1. Problem workshops: discussion of the solutions to the proposed problems.

• Maggiore, A modern introduction to quantum field theory, Oxford University Press, 2005

• M.D. Schwartz, Quantum Field Theory and the Standard Model, Cambridge University Press, 2014.

• M.E. Peskin, D.V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley, 1995.

• A. Lahiri, P.B. Pal, A first book of Quantum Field Theory, Narosa Publishing House, 2nd edition, 2005.

• S. Weinberg, The quantum theory of fields (I and ), Cambridge University Press, 1995.

• The Particle Adventure: https://www.particleadventure.org/

• High-Energy Physics Literature Database (INSPIRE): https://inspirehep.net/

• The Review of Particle Physics (Particle Data Group): https://pdg.web.cern.ch/pdg/

• UGR High Energy Theory Group: https://ftae.ugr.es

• MD01. Theoretical classes

• Continuous evaluation: 30% of the final mark. Participation in the lectures, discussions, solution to the proposed problems, tests.
• Final exam: 70% of the final mark.

• Final exam corresponding to 100% of the final mark.

• Same a extraordinary assessment session.