Objectives of Programme's Learning Outcomes

• Master expertise.
• Have developed the knowledge and skills acquired in the previous cycle to a level that extends beyond the Bachelor's course in Physics, and which provides the basis for the development and implementation of original ideas in a professional context.
• Have acquired knowledge and a thorough understanding of specialist areas of physics in connection with mathematics and/or advanced laboratory practices required for these sectors.
• Have reached a level of knowledge and skill giving them access to the third cycle of the study programme / doctoral studies (only for two-year Master courses).
• Provide clear and accurate information.
• Share their knowledge and findings clearly and back them up rationally to specialist and non-specialist audiences.
• Grow personally and professionally.
• Have developed the skills that will enable them to continue to acquire knowledge independently.
• Have a creative and rigorous scientific approach
• Apply their knowledge, understanding and ability to solve problems in new or unfamiliar environments and in multidisciplinary contexts related to physical sciences.

Learning Outcomes of UE

By the end of the course, the student should know the path-integral formulation of quantum mechanics and quantum field theory. He/she should know the 1-loop renormalisation of Quantum Electro-Dynamics (QED), the Ward-Takahashi identities and the Becchi-Rouet-Stora-Tyutin (BRST) transformations in QED. The student should know the basics of renormalisation group and beta function.

UE Content: description and pedagogical relevance

Teaching in English.
Path integral formulation of quantum mechanics and quantum field theory. Definition, gaussian approximation. Quantum Electro-Dynamics (QED). Feynmann diagrams in QED. Classification of the divergent diagrams at one loop. Regularisation and renormalisation. Renormalisation group, beta function. Dimensional regularisation.

Prior Experience

Quantum Field Theory I.