Course guide of Field and Particle Theory (26711C2)

Curso 2024/2025
Approval date: 10/06/2024

Grado (bachelor's degree)

Bachelor'S Degree in Physics




Relatividad y Teoría de Campos y Partículas


Teoría de Campos y Partículas

Year of study




ECTS Credits


Course type

Elective course

Teaching staff


  • José Ignacio Illana Calero. Grupo: B
  • Manuel María Pérez-Victoria Moreno de Barreda. Grupo: A


  • José Ignacio Illana Calero Grupo: 2
  • Manuel María Pérez-Victoria Moreno de Barreda Grupo: 1

Timetable for tutorials

José Ignacio Illana Calero

  • Monday de 11:00 a 13:00 (Despacho A4 Módulo)
  • Wednesday de 11:00 a 13:00 (Despacho A4 Módulo)
  • Friday de 11:00 a 13:00 (Despacho A4 Módulo)

Manuel María Pérez-Victoria Moreno de Barreda

  • Tuesday de 10:00 a 12:00 (Despacho 20)
  • Wednesday de 10:00 a 12:00 (Despacho 20)
  • Thursday de 10:00 a 12:00 (Despacho 20)

Prerequisites of recommendations

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).

Brief description of content (According to official validation report)

  • 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.

General and specific competences

General competences

  • CG01. Skills for analysis and synthesis
  • CG05. Skills for dealing with information
  • CG06. Problem solving skills
  • CG08. Critical thinking
  • CG09. Autonomous learning skills
  • CG10. Creativity

Specific competences

  • CE01. Knowing and understanding the phenomena of the most important physical theories
  • CE05. Modelling complex phenomena, translating a physical problem into mathematical language
  • CE09. Applying mathematical knowlegde in the general context of Physics

Objectives (Expressed as expected learning outcomes)

  • 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.

Detailed syllabus


  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.


Basic reading list

  • 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.

Complementary reading

  • 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.

Recommended links

Teaching methods

  • MD01. Theoretical classes

Assessment methods (Instruments, criteria and percentages)

Ordinary assessment session

  • 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.

Extraordinary assessment session

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

Single final assessment

  • Same a extraordinary assessment session.

Additional information

Información de interés para estudiantado con discapacidad y/o Necesidades Específicas de Apoyo Educativo (NEAE): Gestión de servicios y apoyos (