Degree | Type | Year | Semester |
---|---|---|---|
2500097 Physics | OT | 4 | 2 |
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Recommendation: Quantum physics. Quantum mechanics and theoretical mechanics.
1. General motivation
2. Introduction (classical fields)
(a) Motivation for fields: Many body problems. One example
(b) Elements of classical field theory:
• Functional calculus (reminder)(c) Natural units
3. Non-relativistic Quantum FieldTheory. Free fields
(a) Bosons. Fock space. Number operator (particle interpretation) and statistics. Connection with quantum mechanics
(b) Fermions. Fock space. Number operator (particle interpretation) and statistics. Connection with quantum mechanics
4. Poincare Group
(a) Poincare group and Lorentz group.
(b) Associated Lie algebra.
(c) One particle irreducible representation. Wigner method. Little group. Spin, helicity. Massive and massless case
(d) Discrete symmetries: C, P, T
5. Interaction (scalar case)
(a) Klein-Gordon real field. Propagator and causality
(b) Continuous symmetries Noether theorem: associated charges andcurrents. Energy-momentum tensor
(c) Cross Section and S matrix
(d) Interaction picture and S matrix
(e) Motivation for causal (free) fields
(f) Klein-Gordon complex field. Charge symmetry. Antiparticle.
(g) Wick theorem
(h) Tree level scattering for λϕ^4 and λϕ^3 theory
(i) Generalized Feynman rules
6. Scalar/Non-relativistic Quantum Electrodynamics (QED)
(a) Field for a massless spin-one particle: Electromagnetic field
(b) Quantization of scalar QED
(c) Quantization of Non-relativistic QED
(d) Elementary processes of scalar QED to O(e^2) (tree level Feynman diagrams).
For example: π+K− → π+K−, π+π+ → π+π+, π+π− → π+π−,
K+K− → π+π−, and the scalar Compton scattering π−γ → π−γ.
(e) About gauge invariance. Ward identities
(f) Non-relativistic Quantum mechanics from Quantum Field Theory
(g) Interaction with a classical field
(h) Decays. Radiative transitions of hydrogen
There will be teaching lectures where the theory will be explained in detail.
There will be teaching lectures where a selection of the list of exercises will be discussed.
The student should digest at home the theory explained in class, and perform the list of exercises suggested during the lectures.
Annotation: Within the schedule set by the centre or degree programme, 15 minutes of one class will be reserved for students to evaluate their lecturers and their courses or modules through questionnaires.
Title | Hours | ECTS | Learning Outcomes |
---|---|---|---|
Type: Directed | |||
Problems class | 16 | 0.64 | 2, 1, 3, 4, 6, 7, 8, 13, 12, 15, 17, 16 |
Theoretical classes | 33 | 1.32 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 12, 15, 17, 18, 16 |
Type: Autonomous | |||
Discussion, work in groups | 22 | 0.88 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 19, 12, 15, 17, 18, 16 |
Problems solved in group or autonomously | 30 | 1.2 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 19, 12, 15, 17, 18, 16 |
Study of theoretical foundations | 42 | 1.68 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 19, 12, 15, 17, 18, 16 |
1st partial exam: 45% of the grade.
2nd Partial exam: 50% of the grade.
Selective delivery of problems: 5% of the grade.
In order to be able to take part in the recovery exam, one should have been previously presented to both exams.
Examination of recovery of the two partials: 95% of the note. There is no minimum mark to be able to opt for the
recovery.
Unique assessment
Students who have accepted the single assessment modality will have to take a final test which will consist of a theory exam. You will then have to do a problem test. When it is finished, you will deliver the requested deliveries.The student's grade will be the weighted average of the three previous activities, where the theory exam will account for 45% of the grade, the problem exam 50% and the assignments 5%. If the final grade does not reach 5, the student has another opportunity to pass the subject through the remedial exam that will be held on the date set by the degree coordinator. In this test you will be able to recover 95% of the grade corresponding to theory and problems. The delivery part is not recoverable.
Title | Weighting | Hours | ECTS | Learning Outcomes |
---|---|---|---|---|
Exam 1 | 45% | 2 | 0.08 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 14, 9, 12, 11, 15, 17, 16 |
Exam 2 | 50% | 2 | 0.08 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 14, 12, 11, 15, 17, 16 |
Homework | 5% | 1 | 0.04 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 19, 10, 9, 12, 15, 17, 18, 16 |
resit exam | 95% | 2 | 0.08 | 2, 1, 3, 4, 5, 6, 7, 8, 13, 12, 15, 17, 16 |
• A. Cornellà and J.I. Latorre, Teoria clàssica de camps
• D. Lurie, Particles and Fields
• S. Weinberg, The Quantum Theory of Fields
• L.H. Ryder, Quantum Field Theory
• F.J. Yndurain, Elements of grup theory. https://arxiv.org/pdf/0710.0468
• C. Itzykson and J. Zuber, Quantum Field Theory
• S. Pokorsky, Gauge Field Theories
• B. Hatfield, Quantum Field Theory of Point Particles and Strings
• M. Peskin and D. Schroeder, An introduction to Quantum Field Theory
• J.F. Donoghue, E. Golowich, B.R. Holstein, Dynamics of the Standard Model
General calculus programs like Mathematica