Speakers: Diego Guadagnoli (LAPTh Annecy), Ludovico Vittorio (LAPTh, Universit\u00e9 Savoie Mont-Blanc and CNRS, Annecy, France)
\nTeacher: Balasubramanian Ananthanarayan (Anant), Bangalore, Indian Inst. Sci.
\nLanguage: English
\nSummary
\nThe course is placed at the interface between particle physics and mathematical physics. It is addressed to PhD-level students, and aims at introducing, in a self-contained way, fundamental concepts about scattering amplitudes and boot-straps, as well as about effective theories. Such concepts are key to constrain and improve theories.
\nContent
\nThe course, already given in 2024 at EPFL (Lausanne), is focused on scattering theory, dispersion relations, and related areas in field theory. These concepts were established in the 1950s and are crucial for understanding locality and causality in physics.
\nThe course aims to systematically build up from first principles, and covers key topics including: \u2022 pion-pion scattering, \u2022 form-factor analysis, \u2022 extension to pion-kaon scattering, \u2022 principles of rescattering and (if time permits) three-body final-state effects, \u2022 the Roy equations for pion scattering, \u2022 the Froissart bound, \u2022 introduction to Regge theory.
\nExtensive literature beyond the course notes will be provided during the course.
\nStructure
\n8 lectures (16 hours in total)
\n\u00b7 \u00a0\u00a0 The detailed plan will be fixed according to the preferences of the participants — particularly those coming from outside Annecy. One possibility is to have 2+2 hours on Thu, Fri, Mon, Tue, so that participants can travel to Annecy on Thu morning, spend the weekend in Annecy \ud83d\ude09 and leave on Tue afternoon.
\n\u00b7 \u00a0 \u00a0The second half of lectures may be tutorial sessions depending on the audience\u2019s preference. In this case, the time will be devoted to solving problems either on the blackboard or on a Mathematica-based teaching platform.
\n\u00b7 \u00a0 \u00a0Course foreseen to be in-presence only (no remote participation) to maximize\u00a0teacher-students interaction.
\nKeywords
\nPion scattering, Roy equations, form factors, dispersion relations
\nPrerequisites
\nBasic field theory, particle physics, calculus
\nhttps:\/\/indico.in2p3.fr\/event\/33894\/<\/p>\n","protected":false},"excerpt":{"rendered":"
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