General information
Topical Course: “Theoretical Particle Physics” winter semester 2019/20
(see also Jogustine Page )
Time & Place: Mo 12 c.t. and Thur 14 c.t., 01 122 Newton-Raum
Lecturer: Dr. Vladimir Pascalutsa, pascalut@uni-mainz.de
Exercises: V. Biloshytskyi, vbiloshy@uni-mainz.de
Topics:
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path-integral quantization
- scalar field and φ4 theory
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LSZ reduction
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perturbative expansion, Feynman rules
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dimensional regularisation and renormalisation
- constraints, Dirac-Bergmann algorithm, relation between gauge symmetry and 1st-class constraints
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quantization of gauge fields, non-Abelian gauge theory, Faddeev-Popov ghosts
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renormalization group, transmutation and running of QCD coupling, asymptotic freedom
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scaling in deep inelastic scattering (DIS)
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electroweak theory, fermion mixings
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Brout-Englert-Higgs mechanism
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various (loop) calculations in the Standard Model
- chiral anomalies
- introduction to effective-field theories, low-energy light-by-light scattering
- linear and nonlinear sigma model, chiral perturbation theory
- computer algebra for calculation of Feynman diagrams (FORM, FeynCalc, LoopTools)
Course language: English
Literature: Cheng & Li, Peskin & Schroeder, Izykson & Zuber, Weinberg Vol 1 and 2, Yndurain
Lecture notes
lectures1234 - PI quantization of scalar and gauge fields
Exercises
Examples