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), Quantum Physics (Fundamentos cuánticos).

It is recommended some knowledge on Advanced Analytical Mechanics.

If AI tools are used during the course, students must adopt an ethical and responsible use of such tools. They should follow the guidelines outlined in the document “Recomendaciones para el uso de la inteligencia artificial en la UGR”, available at the following link: https://ceprud.ugr.es/formacion-tic/inteligencia-artificial/recomendaciones-ia#contenido0

• 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. Exercise workshops: discussion of the solutions to the proposed exercises.

• 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 (vols. I and II), 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 exercises, tests.
• Final exam: 70% of the final mark.
• Students who are unable to attend the final assessment tests (ordinaria, extraordinaria, or evaluación única final) due to any of the circumstances listed in Artículo 9 in Normativa de evaluación y de calificación de los estudiantes de la Universidad de Granada may request evaluation due to exceptional circumstances, following the procedure indicated in the aforementioned regulation.

• Final exam covering all learning outcomes up to 100% of the final mark.

• Same a extraordinary assessment session.
• In accordance with the UGR's Regulations on Student Assessment and Grading, a single final assessment is available for students who are unable to participate in the continuous assessment method due to any of the reasons stipulated in Article 8. To opt for this single final assessment, students must submit a request via the electronic portal within the first two weeks of the course's instruction, or within two weeks following their enrollment if it occurs later. Exceptions may be made for overriding unforeseen circumstances that arise after these initial periods. The request must clearly state and provide evidence for the reasons preventing their participation in the continuous assessment system.

Students with Specific Educational Support Needs (NEAE): In accordance with the recommendations of CRUE and the Secretariado de Inclusión y Diversidad de la UGR, the systems for acquiring and assessing competencies described in this guide will be applied following the principle of design for all, facilitating learning and the demonstration of knowledge according to the needs and functional diversity of students. Both the teaching methodology and the assessment will be adapted for students with NEAE, in accordance with Artículo 11 in Normativa de Evaluación y de Calificación de los estudiantes de la UGR, published in the Boletín Oficial de la UGR no. 112, dated November 9, 2016. Inclusion and diversity at UGR: For students with disabilities or other NEAE, the tutoring system must be adapted to their needs, in accordance with the recommendations of the Unidad de Inclusión de la UGR, and Departments and Faculties must implement appropriate measures to ensure that tutorials take place in accessible locations. Moreover, upon request by teaching staff, support from the competent university unit may be sought when special methodological adaptations are required.

Información de interés para estudiantado con discapacidad y/o Necesidades Específicas de Apoyo Educativo (NEAE): Gestión de servicios y apoyos (https://ve.ugr.es/servicios/atencion-social/estudiantes-con-discapacidad).