AQFT

About

Quark loop in QCDProf Daniel Waldram

30 hours

Office hour: Tuesdays 3pm, room H517A 

 

Functional methods
Path integrals in quantum mechanics and QFT.
Perturbation theory and Feynman diagrams.
Feynman rules from path integrals.
Fermions and Grassman variables.

Renormalisation
Ultraviolet divergences and regularisation.
Renormalised perturbation theory. 
Wilsonian renormalisation.
Renormalisation group.
Callan-Symanzik equation.
Dimensional regularisation.

Non-Abelian gauge field theory
Abelian and non-Abelian gauge symmetries.
QCD and Yang-Mills theory.
Gauge fixing and Faddeev-Popov ghosts.
Computation of the beta function.
Asymptotic freedom, colour confinement and the continuum limit.

Literature

  • Peskin & Schroeder, An Introduction to Quantum Field Theory, (Westview Press, 1995)
    The main textbook for this course
  • Le Bellac, Quantum and Statistical Field Theory, (Oxford University Press, 1991
    Especially renormalisation
  • Bailin & Love, Introduction to Gauge Field Theory, (IOP Publishing, 1993)
    Very good for practical calculations
  • Srednicki, Quantum Field Theory, (Cambridge University Press, 2007)
    Another good general textbook, organised differently
  • Weinberg, Quantum Theory of Fields I& II, (Cambridge University Press, 1995)
    Advanced
  • Zee, Quantum Field Theory in a Nutshell, (Princeton University Press, 2003)
    Good explanation of conceptual points