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Durham University

Centre for Particle Theory

Standard Model

16 Lectures Prof. V.V. Khoze

The course constructs and studies the Lagrangian of the Standard Model of Glashow, Weinberg and Salam, starting from the basic idea of Lorentz and local gauge invariance, building on the Introductory Field Theory and Group Theory courses.

Outline of course

Space-Time symmetries: The Lorentz and Poincare Groups are presented
concentrating on the representations of the groups, the existence of chiral fermions
and the construction of Lorentz invariant actions.

Gauge theories The QED Lagrangian is extended to the case of local gauge
invariance under non-Abelian gauge groups such as SU(2) and SU(3).
A chiral gauge theory, Glashow's model, based on the gauge group
SU(3) x SU(2) x U(1) is constructed.

Spontaneous symmetry breaking, Higgs particles, Salam-Weinberg model:
Local gauge invariance requires massless gauge bosons.
The idea of spontaneous symmetry breaking, giving massive vector bosons,
is therefore introduced, leading to a discussion of
the Higgs mechanism. The generation of fermion masses, by
introducing Yukawa terms into the Lagrangian, is also considered.

Beyond the Standard Model:
The extension beyond the Standard Model to Grand Unified theories (GUTs) is
motivated, and the hierarchy problem which unfortunately results is illustrated
with the minimal SU(5) GUT. The way in which supersymmetry avoids the hierarchy
problem is finally sketched.

Books for the course

M.E. Peskin and D.V. Schroeder, An Introduction to QFT (Addison Wesley, 1995)
F.Halzen and A.D. Martin, Quarks and Leptons (Wiley, 1984)
T.P.Cheng and L.F.Li, Gauge Theory of Elementary Particles (OUP, 1984)
A. Signer, ABC of Supersymmetry, arXiv:0905.4630