Advanced Quantum Field Theory: intuition with path integrals

سرفصل های دوره

Master Quantum Field Theory and Renormalization group with Path Integrals: Intuitive Insights & Practical Applications

1 - Path integrals and Quantum Mechanics

1 - Introduction to the course

2 - Course prerequisites

3 - ADVANCED-QFT-OSBORN-HUGH.pdf

3 - Path integral derivation

4 - Some intuition behind the path integral

4 - chap1.pdf

2 - QFT in zero dimensions

5 - Free field theory in zero dimensions

5 - chap2.pdf

6 - The current in the Free field theory in zero dimensions

7 - Wick theorem as a probabilistic theorem in QFT

8 - Integrals in perturbation theory

9 - Example of perturbation theory

10 - Feynman diagrams from a combinatoric perspective

11 - Feynman diagrams and orbit stabilizer theorem

12 - Wilsonian effective action

13 - Feynman rules with two fields and 4valent vertices

14 - Example of action with two fields

15 - Direct calculation of the effective action without Feynman rules

16 - Direct calculation of the correlation function without Feynman rules

17 - How renormalization comes forth

3 - QFT in 1 dimension

18 - QFT in one dimension action with two fields

18 - chap3.pdf

19 - Logarithm of a determinant

20 - Nonlocality of interactions in a onedimensional Quantum Field Theory

21 - 1non-commutativity-and-path-integrals.zip

21 - 2non-commutativity-and-path-integrals.zip

21 - Non commutativity and path integrals

22 - Correlation functions and time ordered products

4 - Theory of renormalization in physics

23 - RenormalizationChap.pdf

23 - Theory of the renormalization group

24 - Running of couplings and Callan Symanzik equation

25 - Anomalous dimensions part 1

26 - Anomalous dimensions part 2

27 - Scale invariant theories

28 - Massive scalar field and the Yukawa potential

29 - Derivation of the Yukawa potential from the Klein Gordon field in 3 dimension

30 - Renormalization group flow

31 - The local potential approximation example on the running of couplings

5 - Appendix

32 - Complex Gaussian integrals

33 - Lagrange duplication formula

34 - Relation between Beta and Gamma function

35 - Derivation of a green function from a differential equation

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تولید کننده: Udemy