Konforme Feldtheorie
Vorlesung "Konforme Feldtheorie"
Prof. Dr. Johanna Erdmenger / Dr. Jani Kastikainen
Vorlesungszeiten:
Montags 10 - 12 Uhr, Seminarraum M1.03.020 (M1 Physik)
Freitags 12 - 13 Uhr, Seminarraum M1.03.020 (M1 Physik)
Übung:
Mittwochs 13:00-14:00 Uhr, Seminarraum M1.03.020 (M1 Physik)
Themen
Chapter 1. The harmonic chain
1.1 Properties of the harmonic chain
1.2 Time evolution and correlation functions
Chapter 2. Free scalar quantum field theory in two dimensions
2.1 Free scalar field as a continuum limit
2.2 Canonical quantization of the free scalar field
Chapter 3. Path integral quantization of classical field theories
3.1 Path integral for the harmonic chain
3.2 Path integral for the free scalar field
Chapter 4. Conformal transformations
4.1 Crash course to Riemannian geometry
4.2 Conformal transformations in higher dimensions
4.3 The conformal algebra
Chapter 5. Conformal transformations of classical fields
5.1 Classification of conformal fields
5.2 Transformations of primary and descendant fields
Chapter 6. Conformal symmetry in classical field theory
6.1 Symmetries and Noether's theorem
6.2 Noether current for conformal symmetry
Chapter 7. Conformal symmetry in quantum field theory
7.1 Conformal covariance of correlation functions
7.2 Ward identities for conformal symmetry
Chapter 8. Conformal symmetry in the operator formulation
8.1 Ward identities in the operator formulation
8.2 Unitary representations of conformal transformations
Chapter 9. Conformal field theory in curved space-time
9.1 Conformal symmetries and the metric
9.2 The conformal anomaly
Chapter 10. Classical conformal field theory in two dimensions
10.1 Conformal group and algebra in two dimensions
10.2 Conformal fields in two dimensions
Chapter 11. Quantum conformal symmetry in two dimensions
11.1 The Virasoro algebra
11.2 The Virasoro group
Literatur
Di Francesco, Mathieu, Senechal, "Conformal Field Theory", Springer (Ch. 2, 4 and 5)
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