90378 - QUANTUM CHROMODYNAMICS

Anno Accademico 2023/2024

  • Docente: Tiziano Peraro
  • Crediti formativi: 6
  • SSD: FIS/02
  • Lingua di insegnamento: Inglese
  • Moduli: Tiziano Peraro (Modulo 1) Gian Paolo Vacca (Modulo 2)
  • Modalità didattica: Convenzionale - Lezioni in presenza (Modulo 1) Convenzionale - Lezioni in presenza (Modulo 2)
  • Campus: Bologna
  • Corso: Laurea Magistrale in Physics (cod. 9245)

Conoscenze e abilità da conseguire

At the end of the course the student will be able to: i) describe the main aspects of the phenomenology of strong interactions; ii) master and present the concepts, mechanisms and formalism at the base of the Quantum Chromodynamics; iii) apply the theoretical formalism to cases of interest in high-energy physics and perform computations of relevant observables.

Contenuti

1. Motivations for QCD. Non-abelian gauge theories SU(N). Feynman rules and ghosts. Color algebra. QCD as a non-abelian gauge theory with symmetry group SU(3). BRST symmetry. Instantons.

2. Renormalisation of QCD, running coupling constant and the beta function, asymptotic freedom, renormalisation group.

3. Spinor-helicity formalism. Color decomposition of tree level QCD amplitudes. BCFW recursion relation. MHV amplitudes.

4. e+e- annihilation into hadrons at LO and NLO. Cancellation of infrared divergences. Infrared-collinear safety. Jets.

5. Hadrons in the initial state. Deep inelastic scattering, the parton model, structure functions, parton density functions. Infrared divergencies in the initial state. Collinear factorisation, splitting functions, DGLAP evolution equations.

6. Brief introduction to the Standard Model.

7. QCD at colliders. Modern experiments and phenomenological studies.

8. QCD at low energy. Effective Lagrangian and chiral symmetry.

 

Testi/Bibliografia

Books:

• M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, (Addison Wesley, 1995)

• R. K. Ellis, W. J. Stirling & B. R. Webber, QCD and Collider Physics, (Cambridge, 1996)

• M. Srednicki, Quantum Field Theory, (Cambridge University Press, 2007)

• M. Schwartz, Quantum Field Theory and the Standard Model, (Cambridge University Press, 2014)


Lecture notes on QCD:

• Paolo Nason : Introduction to QCD [PDF [http://inspirehep.net/record/476506/files/CERN-98-03.pdf?version=1] ] [1998]

• Michelangelo Mangano : Introduction to QCD [PDF [http://cds.cern.ch/record/454171] ] [1999]

• Michael Peskin : Simplifying Multi-Jet QCD Computation [PDF [https://arxiv.org/pdf/1101.2414.pdf] ] [2011]

 

Metodi didattici

Blackboard lectures.

Modalità di verifica e valutazione dell'apprendimento

Interview with questions about the theory and exercises assigned during the lectures.

Orario di ricevimento

Consulta il sito web di Tiziano Peraro

Consulta il sito web di Gian Paolo Vacca