Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|
US-M2-MATHFA-019-M | Optional UE | BOULANGER Nicolas | S827 - Physique de l'Univers, Champs et Gravitation | - BOULANGER Nicolas
- SKVORTSOV Evgeny
|
Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|
| Anglais, Français | 30 | 0 | 0 | 0 | 0 | 6 | 6.00 | 2nd term |
Objectives of Programme's Learning Outcomes
- Have integrated and elaborate mathematical knowledge.
- Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
- Use prior knowledge to independently learn high-level mathematics.
- Carry out major projects.
- Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
- Give constructive criticism on the quality and progress of a project.
- Work in teams and, in particular, communicate effectively and with respect for others.
- Appropriately use bibliographic resources for the intended purpose.
- Present the objectives and results of a project orally and in writing.
- Communicate clearly.
- Communicate the results of mathematical or related fields, both orally and in writing, by adapting to the public.
- make a structured and reasoned presentation of the content and principles underlying a piece of work, mobilised skills and the conclusions it leads to.
- Have sufficient knowledge of English for basic scientific communication.
- Skill 6: Have acquired professional skills in relation to the objective defining the degree.
- Have gained expertise and specialised knowledge in a field of mathematics in order to enter fully into the world of research.
- Demonstrate intuition and creativity to tackle new mathematical problems.
- Expose high-level mathematical results to a specialised audience.
- Have integrated and elaborate mathematical knowledge.
- Mobilise the Bachelor's course in mathematics to address complex issues and have profound mathematical expertise to complement the knowledge developed in the Bachelor's course.
- Use prior knowledge to independently learn high-level mathematics.
- Research mathematical literature in an efficient and relevant way.
- Read research articles in at least one discipline of mathematics.
- Carry out major projects.
- Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
- Give constructive criticism on the quality and progress of a project.
- Work in teams and, in particular, communicate effectively and with respect for others.
- Appropriately use bibliographic resources for the intended purpose.
- Present the objectives and results of a project orally and in writing.
- Carry out major projects.
- Independently carry out a major project related to mathematics or mathematical applications. This entails taking into account the complexity of the project, its objectives and the resources available to carry it out.
- Give constructive criticism on the quality and progress of a project.
- Work in teams and, in particular, communicate effectively and with respect for others.
- Appropriately use bibliographic resources for the intended purpose.
- Present the objectives and results of a project orally and in writing.
- Communicate clearly.
- Communicate the results of mathematical or related fields, both orally and in writing, by adapting to the public.
- make a structured and reasoned presentation of the content and principles underlying a piece of work, mobilised skills and the conclusions it leads to.
- Have sufficient knowledge of English for basic scientific communication.
- Adapt to different contexts.
- Have developed a high degree of independence to acquire additional knowledge and new skills to evolve in different contexts.
- Critically reflect on the impact of mathematics and the implications of projects to which they contribute.
- Demonstrate thoroughness, independence, creativity, intellectual honesty, and ethical values.
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
Type of Teaching Activity/Activities
AA | Type of Teaching Activity/Activities |
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S-PHYS-038 | |
Mode of delivery
AA | Mode of delivery |
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S-PHYS-038 | |
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
---|
S-PHYS-038 | M. Srednicki, Quantum Field Theory, CUP |
Recommended Learning Resources/Tools
AA | Recommended Learning Resources/Tools |
---|
S-PHYS-038 | None |
Other Recommended Reading
AA | Other Recommended Reading |
---|
S-PHYS-038 | L. H. Ryder, Quantum Field Theory, Cambridge U.P. (1996) |
Grade Deferrals of AAs from one year to the next
AA | Grade Deferrals of AAs from one year to the next |
---|
S-PHYS-038 | Authorized |
Term 2 Assessment - type
AA | Type(s) and mode(s) of Q2 assessment |
---|
S-PHYS-038 | - Oral examination - Face-to-face
- Oral presentation - Face-to-face
|
Term 2 Assessment - comments
AA | Term 2 Assessment - comments |
---|
S-PHYS-038 | Continuous evaluation throughout the term, completed with a final, oral presentation |
Term 3 Assessment - type
AA | Type(s) and mode(s) of Q3 assessment |
---|
S-PHYS-038 | - Oral examination - Face-to-face
- Oral presentation - Face-to-face
|
Term 3 Assessment - comments
AA | Term 3 Assessment - comments |
---|
S-PHYS-038 | None |
(*) HT : Hours of theory - HTPE : Hours of in-class exercices - HTPS : hours of practical work - HD : HMiscellaneous time - HR : Hours of remedial classes. - Per. (Period), Y=Year, Q1=1st term et Q2=2nd term