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SELECTED TOPICS IN QUANTUM FIELD THEORY:

Fernando Marchesano​

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- Renormalization
- Quantum corrections in QED
- Non-Abelian gauge theories

- ...

 

Lecture 1: 04/10/2016, 14:30-16:30, Sala Gris 1

Lecture 2: 06/10/2016, 11:00-13.00, Sala Gris 1

Lecture 3: 11/10/2016, 14:30-16:30, Sala Gris 1

Lecture 4: 13/10/2016, 11.00-13:00, Sala Gris 1

Lecture 5: 18/10/2016, 14:30-16:30, Sala Gris 1

Lecture 6: 20/10/2016, 11:00-13:00, Sala Gris 1

Lecture 7: 02/11/2016, 14:30-16:30, Sala Gris 1

Lecture 8: 03/11/2016, 11:00-13:00, Sala Gris 1

Lecture 9: 15/11/2016, 14.30-16.30, Sala Gris 1

Lecture 10: 17/11/2016, 9.00-11.00, Sala Gris 1

Lecture 11: 22/11/2016, 14.30-16.30, Sala Gris 1

Lecture 12: 23/11/2016, 14:30-16.30, Sala Gris 1

Lecture 13: 24/11/2016, 11:00-13:00, Sala Gris 1

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CURRENT & FUTURE CMB OBSERVATIONS:

Kerstin Kunze​

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- The basics of CMB physics
- CMB observables:
   - CMB anisotropies: Angular power spectra: temperature and polarization
   - Spectral distortions
- Sources and removal of signal contamination:
   - Astrophysical foregrounds (dust, galactic magnetic field) and CMB lensing
- Past and current observations: ACT(Pol), SPT(Pol), Planck, BICEP,…
- Future experiments/missions:
   - Ground-based, balloon or space missions: pros and cons
   - Proposals in different planning stages:
      - LiteBIRD
      - PIXIE
      - CMB-S4
      - COrE(++)
      -…

 

Lecture 1: 07/11/2016, 16:00-18:00, Sala Gris

Lecture 2: 08/11/2016, 15:00-17:00, Sala Gris

Lecture 3: 10/11/2016, 16:00-18:00, Sala Gris

Lecture 4: 14/11/2016, 16:00-18:00, Sala Gris - CANCELLED

Lecture 5: 17/11/2016, 16:00-18:00, Sala Gris - CANCELLED

Lecture 6: 18/11/2016, 15:00-17:00, Sala Gris - CANCELLED

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S-MATRIX THEORY, AN ON-SHELL AMPLITUDE APPROACH TO PERTURBATION THEORY:

Paolo Benincasa​

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This course is thought to provide a pedagogical introduction to some of the most recent developments in the field of scattering amplitudes. In particular, it will focus on the idea of formulating perturbation theory in particle physics directly from the analysis of observables, without any reference to an underlying Lagrangian. The course will be divided in two parts, the first of which will mainly discuss some general features of perturbation theory and on-shell methods to compute both tree-level and loop processes; the second part will deal with the first principle definition of perturbation theory via on-shell processes and its geometric realisation.

1. Generalities.
   - Setting up the problem;
   - A first look at unitarity, locality and analyticity;
   - The Lorentz little group.
2. The building blocks.
   - A first principle definition of three-particle amplitudes
   - Massless case;
   - Massive case;
   - Supersymmetric extensions.
3.. Tree-level amplitudes.
   - On-shell recursions: BCFW method and its generalisations;
   - Constructibility
   - Bootstrap for amplitudes;
   - Examples.
4. Loop-level amplitudes.
   - Generalised unitarity;
   - Leading singularities and rung-rule;
   - Loop structure from tree-level;
   - A first glimpse of 1-loop renormalisability without a Lagrangian;
   - Integrands and forward limits.
5. On-shell diagrams
   - Life without virtual particles: on-shell processes and on-shell forms;
   - On-shell diagrammatics: Equivalence relations and Ward identities;
   - Tree-level as an on-shell 0-form;
   - Loops as on-shell 4L-forms: the 1-loop structure in detail.
   - All-loop recursions for planar N ≤ 4 SYM
6. The geometry of scattering amplitudes
   - The Grassmannian Gr(k,n): Generalities.
   - On-shell diagrams and the Grassmannian.
   - Amplitudes as volumes of polytopes.
   - From Gr(k,n) to Gr(k,k+4): The Amplituhedron

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Lecture 1: 23/11/2016, 09:00-11:00, Sala Gris 1 (Notes)

Lecture 2: 24/11/2016, 09:00-11:00, Sala Gris 1

Lecture 3: 25/11/2016, 11:00-13:00, Sala Gris 1

Lecture 4: 01/12/2016, 11:00-13:00, Sala Gris 1

Lecture 5: 02/12/2016, 11:00-13:00, Sala Gris 1

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