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ADVANCED TOPICS IN THEORETICAL PHYSICS I (SPRING 2018) SPONTANEOUS SYMMETRY BREAKING SummaryThis spring's Delta ITP Course Advanced Topics in Theoretical Physics aimed at advanced Master’s students, PhD and postdoctoral researchers, is built around the general theme of
"Spontaneous symmetry breaking".Lectures will take place on Mondays at 11:15-13:00, followed by a study/exercise session 13:45- end. The course will be divided into three 5-week modules; for each one there are four lectures (3hrs each) and four exercise sessions (3hrs each). At the end of the module there is an exam. All exams are pass/fail. You need to pass all three exams to receive credit for the course. Please register
here
before the course begins, also if you do not take the course for
credit. Note that we cannot process your grade if you are not
registered (or receive important notices).
Travel Cost Reimbursement:Students who do not have an OV-card from the Dutch government can have their travel costs reimbursed from Delta ITP. Please contact your local organizer (below) for details. List of participants Module 1Jasper van Wezel (UvA): Spontaneous symmetry breaking in the context
of Condensed Matter Physics Lectures: Feb 5, 12, 19, 26 Exam: Mar 5 Location/Room: Amsterdam, Science Park 904, room G5.29 of the SP904 building at the UvA Abstract: In this course, we will learn to recognise the many ways in which symmetry breaking impacts physics. We will use the context of condensed matter physics to discuss the general principles of which different types of symmetry exist, which can or cannot be broken, how symmetry breaking is described and what its many implications are. We will also introduce some group theoretical methods to analyse which order parameters and conjugate fields may be expected to arise in any given theory, and how many type A or type B Nambu-Goldstone modes result from them. Finally, we will discuss the similarities and differences between symmetry and gauge freedom, and see how the Higgs mechanism and various associated effects are related to symmetry breaking. Module 2Alexey Boyarsky (UL): Spontaneous symmetry breaking in the Standard Model of particle physicsLectures: Mar 12, 19, 26, Apr 9, [Apr 2 is Easter] Exam: Apr 16 Location/Room: Leiden, Huygens Laboratory HL211 on March 12th; Huygens Laboratory HL226 on the remaining days Abstract: The module focuses on spontaneous symmetry breaking and Higgs mechanism in the Standard Model. The students will learn: — how and why the SU(2) xU(1)symmetry was introduced, what are its direct phenomenological manifestations — the interplay between the chiral structure of the SM and Higgs mechanism — anomaly cancelation in the Standard Model — the differences in the structure of mass matrices of leptons and quarks, the origin and phenomenological manifestation of CP violation, relation with baryo and lepto genesis. Module 3Irene Valenzuela (UU): Spontaneous symmetry breaking and non-perturbative dynamicsLectures: Apr 23, 30, May 7, 14 [May 21 is Pentecost] Exam: May 28 Location/Room: TBA (in Utrecht) Abstract: Even if a symmetry is spontaneously broken in any finite order of perturbation theory in quantum field theory (QFT), it can be restored at non-perturbative level in certain cases. More concretely, the Coleman-Mermin-Wagner theorem states that a continuous global symmetry cannot be spontaneously broken at finite temperature in dimension $D\leq 2$. This is at the core of many Condensed Matter systems as well as Higher Energy physics phenomena. In this course we will study the restoration of global symmetries in quantum field theories including both scalar and gauge fields in low dimensions. To that end, we will learn the tools to account for non-perturbative effects (instantons) in QFT representing the analogous of a tunneling transition in quantum mechanics. We will cover the following topics: - Basics of spontaneous symmetry breaking and phase transitions in QFT. - Instantons in Abelian systems: quantum field theory beyond the perturbative level. - Restoration of symmetry in scalar field theories: 1D Ising model and 2D Kosterlitz–Thouless transition. - Restoration of symmetry in gauge field theories: Abelian-Higgs model, theta-vacuum structure of gauge theories and confinement in compact QED. - Trouble with global symmetries in quantum gravity. Contact: Dr. Enrico Pajer Institute for Theoretical Physics Utrecht University Princetonplein 5 3584 CC Utrecht tel: +31 30 253 5906 e-mail: e.pajer@uu.nl Prof. Koenraad Schalm Instituut-Lorentz for Theoretical Physics Leiden University Niels Bohrweg 2 2335 CA Leiden email: kschalm@lorentz.leidenuniv.nl Dr. Wouter Waalewijn Institute for Theoretical Physics University of Amsterdam Science Park 904 1098 XH Amsterdam tel: +31 (0)20 525 3204 e-mail: w.j.waalewijn@uva.nl Administrative matters: Wanda Verweij Institute for Theoretical Physics Utrecht University Princetonplein 5 3584 CC Utrecht tel: +31 30 253 5906 e-mail: w.l.verweij@uu.nl Last update: 09-03-2018, 10.38 |