Course guide of Field and Particle Theory (26711C2)

Curso 2022/2023
Approval date: 20/06/2022

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: A
  • José Santiago Pérez. Grupo: B


  • Adrián Carmona Bermúdez Grupo: 1
  • Pablo Olgoso Ruiz Grupo: 2

Timetable for tutorials

José Ignacio Illana Calero

  • Monday de 11:00 a 13:00 (Despacho 4)
  • Wednesday de 11:00 a 13:00 (Despacho 4)
  • Friday de 11:00 a 13:00 (Despacho 4)

José Santiago Pérez

  • Tuesday
    • 12:00 a 13:00 (Despacho A4 Mod-A)
    • 14:00 a 15:00 (Despacho A4 Mod-A)
  • Wednesday de 14:00 a 18:00 (Despacho A4 Mod-A)

Adrián Carmona Bermúdez

  • Monday de 11:00 a 12:00 (Despacho 19)
  • Wednesday de 11:00 a 12:00 (Despacho 19)

Pablo Olgoso Ruiz

  • Wednesday de 10:00 a 11:00 (Despacho 29)
  • Friday de 10:00 a 10:30 (Despacho 29)

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 particles physics.

Detailed syllabus


  1. Introduction. Second quantization. Classical Field Theory.
  2. Cross sections and decay rates.
  3. S matrix, correlators and Feynman rules.
  4. Spin 1, gauge invariance and scalar QED.
  5. Spin 1/2, spin-statistics connection and CPT.
  6. Quantum Electrodynamics.
  7. Non-abelian gauge theories.
  8. Spontaneous symmetry breaking and the Standard Model


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


Basic reading list

  • 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.

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

Complementary reading

  • 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 problems, 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.