The re-examination is planned for Wednesday, 23d, from 9:00 at my
office (1520-525). If it's allright, please book your time (9:00, 9:30,
and 10:00) at the same page.
The re-examination will be in January, week 3 or 4.
Please sign up
at
this wiki page at AULA and indicate which days in the weeks 3 and 4
you cannot attend.
Seminars:
Torsdag, 8-10, Gustav Wieds Vej 10 (3131-303)
Weekly notes:
Introduction.
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The subject of quantum field theory: particles/fields.
Principle of Relativity.
Principle of covariance. Special theory of relativity. Four-vectors.
Classical Lagrangian field theory.
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Principle of least action. Euler-Lagrange
equation of motion. Translation invariance and energy-momentum tensor.
Energy and momentum conservation. Global gauge invariance and conserved
current. Charge conservation. Noether's theorem.
Canonical quantization of a free complex scalar field.
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Klein-Gordon equation. Normal modes. Energy and charge in normal mode
representation. Number-of-particles operators. Generation/annihilation
operators. Statistics.
Transformational properties of fields.
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The group of coordinate transformations.
Group representations. Lie groups and Lie algebras. Lie algebras
of the rotation group and the Lorentz group. Irreducible representations
of the rotation group.
Irreducible representations of the Lorentz group.
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Direct product of two representations of a group. Reduction of
a direct product of two representations of the rotation group and the
Lorentz group. Parity transformation. Finite rotation matrix.
Spin-1/2 field.
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Bispinors. Bilinear forms of bispinors. Gamma-matrices.
Lagrangian. Dirac equation.
Canonical quantization of spin-1/2 field.
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Normal modes (plane-waves).
Charge and energy in normal mode representation. Generation-annihilation
operators: anti-commutation relation.
Interacting quantum fields.
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Interaction Lagrangian; Time development
in quantum mechanics: Heisenberg,
Schrödinger, and interaction picture; S-matrix; Time-ordered product of
operators.
Feynman diagrams.
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Calculation of the S-matrix elements: time- and normal-products of field
operators; propagators; Wick's theorem; Feynman diagrams in coordinate space.
