Quantenfeldtheorie I
(WS 2007/08)
Prof. Hans J. Pirner
Universität Heidelberg
If you are a student attending tutorials, where the exercises are discussed, please register
Vorlesungen - Übungen
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Vorlesung |
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Übung |
Datei |
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Introductory lecture |
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1st lecture: An overview of QFT and attempts to its construction |
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1st exercise sheet |
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2nd lecture: Main concepts of QFT and Lorentz group |
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3rd lecture: Relativistic wave equations and the canonical quantization of a scalar field |
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4th lecture: Canonical commutation relations and spin-statistics theorem |
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5th lecture: S-matrix, in- and out-states, LSZ reduction formula |
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6th lecture: The concept of a quantum field |
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7th lecture: Path integrals in QM, Green's functions, time-ordered product of operators |
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8th lecture: Path integral for a non-interacting field theory, Feynman propagator, Wick theorem |
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9th lecture: Path integral for an interacting field theory, various types of Feynman diagrams |
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10th lecture: Generating functional, symmetry factors of the diagrams, counterterms, scattering amplitude |
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11th lecture: Scattering cross sections, kinematics of scattering; s-, t-, u-exchange diagrams |
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12th lecture: Differential and total cross sections, their high-energy behavior; mass dimensions of coupling constants |
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13th lecture: Dispersion representation of the exact propagator |
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14th lecture: Propagator to the second order of perturbation theory |
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16th lecture: 1-loop diagrams |
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17th lecture: Renormalizability |
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18th lecture: Continuous and discrete symmetries |
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19th lecture: Symmetries (continued) |
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20th lecture: Spin-1/2 fields; spinor representations of the Lorentz group and Weyl spinors; Dirac spinors |
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21st lecture: Dirac equation; gamma-matrices; helicity eigenstates; bilinear forms of Dirac fermions |
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22nd lecture: Dirac spinors; properties of gamma-matrices; Dirac particle in an external electromagnetic field |
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23rd lecture: Dirac Hamiltonian for the hydrogen atom; canonical quantization of the Dirac field |
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24th lecture: Anticommutators for fermions; transformation properties of spinors under discrete symmetries |
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25th lecture: Discrete symmetries (continued); LSZ-reduction formula for fermions |
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26th lecture: Dirac propagator; Grassmann variables; fermionic path integral; generating functional with anticommuting sources |
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27th lecture: Rules for Grassmann variables; zero-point energies for bosons and fermions |
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28th lecture: Feynman rules for Dirac fields; Yukawa theory; fermion-scalar scattering |
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29th lecture: Cross sections of the scattering processes with fermions; spin sums; gamma-matrix technology; massless fermions; Majorana particles |
Additional materials, taught to the students at the tutorials by D. Antonov in Oct.-Dec. 2007, can be found
dima at tphys dot uni-heidelberg dot de