6 Lectures on QFT, RG and SUSY

Sep, 2009
61 pages
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Abstract: (arXiv)
An introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics is presented in the form of 6 lectures delivered to the British Universities Summer School in Theoretical Elementary Particle Physics (BUSSTEPP). Emphasis is placed on gaining a physical understand of the running of the couplings and the Wilsonian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.
Note:
  • 61 pages, 20 figures, Lectures delivered at BUSSTEPP 2008 and 2009
  • regularization: dimensional
  • renormalization group
  • supersymmetry
  • field theory
  • lectures
  • beta function
  • perturbation theory
  • superpotential
  • effective action
  • Higgs mechanism
  • [1]
    The coupling here and in the following is generally the canonical gauge coupling, however, we won’t distinguish the g and gc for now on
    • [2]
      F is also complex, while and for the fermions ψ† α = ¯ψ ˙α and λ† α = ¯λ ˙α
      • D. is Hermitian
      • [3]
        The perturbative expansion is really an expansion in g2N. In our limit, however, g2 ∼ 1/N2 and so higher orders in perturbation theory are suppressed by 1/N