Physikalisches Wahlfach: Quantenfeldtheorie II (PW-10)10 ECTS
(englische Bezeichnung: Elective Course in Physics: Quantum Field Theory II)
Modulverantwortliche/r: Thomas Thiemann
Lehrende:
Thomas Thiemann
Startsemester: |
WS 2014/2015 | Dauer: |
1 Semester | Turnus: |
unregelmäßig |
Präsenzzeit: |
105 Std. | Eigenstudium: |
195 Std. | Sprache: |
Deutsch |
Lehrveranstaltungen:
-
-
Quantenfeldtheorie II
(Vorlesung, 4 SWS, Thomas Thiemann, Do, 8:00 - 10:00, 14:00 - 16:00, HE; Do; ab 16.10.2014; Die erste Vorlesung findet erst am Do, 16.10.2014 statt.)
-
Übung zur Quantenfeldtheorie II
(Übung, Thomas Thiemann et al., Mi, 13:00 - 16:00, SR 02.729)
Inhalt:
- Canonical quantisation of classical field theories
Singular Lagrangians and gauge theories, Dirac algorithm,
Higgs-Kibble-Stueckelberg mechanism,
Grassmann-Calculus for Fermionic Fields,
Noether theorem, Noether charges,
Canonical CCR and CAR field algebras,
States and representations, GNS construction.
Invariant states and symmetries.
Haag’s theorem, Bogol’ubov transformations and examples.
Dynamics: From instantaneous fields to interacting fields.
Wightman distributions and their axiomatic properties.
Analytic properties of Wightman distributions,
Jost sets,
CPT theorem,
Spin Statistics theorem,
Cluster Decomposition theorem,
Moeller operators and Jost S-Matrix,
Haag-Ruelle spectral conditions on Kaellen-Lehman measure of 2-point distribution,
Asymptotic Creation operators for the interacting fields,
Haag-Ruelle theorem and LSZ asymptotic conditions,
LSZ reduction formula and time ordered Wightman distributions
Gell-Mann-Low formal scattering matrix,
Normal ordering and Wick’s’ theorem,
Gauge Invariance and Relativistic Covariance in QED: Gupta-Bleuler field,
Computational techniques for QED, divergences in loop diagrammes,
Feynman diagrammes and rules for QED
Removal of vacuum bubbles and tadpole diagrammes,
Resummation, connected 1-PI diagrammes, effective action,
Additive and multiplicative renormalisation,
Renormalisation schemes: Pauli-Villars,BPHZ,Dimensional,Feynman,Schwinger,Epstein-Glaser,
Renormalisation group, running couplings, asymptotic freedom, confinement
Electroweak interaction, spontaneous symmetry breaking, Goldstone bosons,
Quantum Chromodynamics,
Selected tree graph processes of QED,
Vacuum energy: Casimir effect,
External field problems in QED: Classical current, classical Maxwell field (Schwinger effect),
Outlook: Rigorous path integrals, constructive and Euclidian QFT
Lernziele und Kompetenzen:
Die Studierenden
Verwendbarkeit des Moduls / Einpassung in den Musterstudienplan:
Das Modul ist im Kontext der folgenden Studienfächer/Vertiefungsrichtungen verwendbar:
- Physik (Master of Science)
(Po-Vers. 2010 | Masterprüfung | Masterprüfung - beschleunigtes Verfahren (Forschungsstudiengang) | Physikalische Wahlfächer)
- Physik (Master of Science)
(Po-Vers. 2010 | Masterprüfung | Masterprüfung | Physikalische Wahlfächer)
Studien-/Prüfungsleistungen: