# Teaching

## Winter term 2020/2021: Lectures on Quantum field theory 1

by Stefan Floerchinger and Christof Wetterich

### Online lectures

Because of the Covid-19 pandemic situation the lectures are given online. The online lectures given so far can be found here. (If you have problems loading the files please try to work with the pdf lecture notes, see below.)

### Links

In the information system of Heidelberg University the course can be found here. To participate in the tutorial classes please register here. Once registered, you can access a chat to discuss about quantum field theory here.

### Literature

There is a large amount of literature on different aspects of quantum field theory. Here is only a fine selection.

Relativistic quantum field theory

- Mark Srednicki,
*Quantum field theory* - Michael Peskin & Daniel Schroeder,
*An introduction to quantum field theory* - Steven Weinberg,
*The quantum theory of fields I & II*

Statistical field theory / renormalization group

- Jean Zinn-Justin,
*Quantum field theory and critical phenomena* - Andreas Wipf,
*Statistical approach to quantum field theory* - John Cardy,
*Scaling and renormalization in statistical physics* - Giorgio Parisi,
*Statistical field theory*

Non-relativistic quantum field theory / condensed matter

- Alexander Altland & Ben Simons,
*Condensed matter field theory* - Lev Pitaevskii & Sandro Stringari,
*Bose-Einstein condensation* - Crispin Gardiner & Peter Zoller,
*The quantum world of ultra-cold atoms and light*

Group theory

- Anthony Zee,
*Group theory in a nutshell for physicists*

### Lecture notes

Lecture notes in pdf form will be provided parallel to the course. The current version can be found here.

## Winter term 2020/2021: Master seminar on Information theory and quantum physics

In this master seminar we discuss elements of modern information theory and how they reflect in quantum mechanics as well as quantum field theory. After a general introduction to classical and quantum information we will discuss entanglement and how it can be detected. We will then dive deeper into convenient formalisms for quantum mechanics and quantum field theory, before we discuss an information theoretic formulation of Heisenbergs uncertainty relation and interesting twists to it that arise as a consequence of entanglement. The role of quantum information for thermalization in a quantum world as well as for Hawking radiation in the vicinity of black holes will also be discussed.

### Links

In the information system of Heidelberg University the seminar can be found here. To participate in the seminar please register here.

## Summer term 2020: Lectures on Symmetries

These lectures are intended for Master students of physics. The implications of symmetry in physics are ubiquitous and very interesting. Mathematically, they are described by group theory. The lectures start with finite groups and then discuss the most important Lie groups and Lie algebras, in particular SU(2), SU(3), the Lorentz and Poincaré groups, the conformal group and the gauge groups of the standard model and of grand unification.

### Links

In the information system of Heidelberg University the course can be found here. To participate in the lecture and in particular the accompanying discussions about content and exercises, please register here. Once registered, you can directly access a chat to discuss everything about Symmetries here.

### Content

- Introduction and overview
- Symmetries and conservation laws
- Finite groups
- Lie groups and Lie algebras
- SU(2)
- SU(3)
- Classification of compact simple Lie algebras
- Lorentz and Poincaré groups
- Conformal group
- Non-abelian gauge theories
- Consequences of symmetries for effective actions
- Grand unification

### Literature

- M. Fecko,
*Differential Geometry and Lie Groups for Physicists* - P. Ramond,
*Group Theory, A Physicist’s Survey* - A. Zee,
*Group Theory in a Nutshell for Physicsists* - J. Fuchs and C. Schweigert,
*Symmetries Lie Algebras and Representations* - H. Georgi,
*Lie Algebras in Particle Physics* - H. F. Jones,
*Groups, Representations and Physics*

### Lecture notes

Lecture notes can be found here.

### Lecture videos

- Lecture 01: https://youtu.be/RODjLd1AMhM
- Lecture 02: https://youtu.be/54i94imlkEY
- Lecture 03: https://youtu.be/twsgkA2r5hA
- Lecture 04: https://youtu.be/X7XJgRNRkTI
- Lecture 05: https://youtu.be/gdYvYETZqhM
- Lecture 06: https://youtu.be/35k46U48zkg
- Lecture 07: https://youtu.be/zoRnpm8VNNQ
- Lecture 08: https://youtu.be/THZdk7abPp0
- Lecture 09: https://youtu.be/CxKK1GkFSvU
- Lecture 10: https://youtu.be/tBHhsH9Yh2c
- Lecture 11: https://youtu.be/COTSCMHVfW8
- Lecture 12: https://youtu.be/PTceat11ogg
- Lecture 13: https://youtu.be/RinYYZGlK2I

## Summer term 2019: Lectures on Quantum field theory 2

by Stefan Floerchinger and Christof Wetterich

https://uebungen.physik.uni-heidelberg.de/vorlesung/20191/qft2

Lecture notes can be found here.

## Winter term 2018/2019: Lectures on Quantum field theory 1

by Stefan Floerchinger and Christof Wetterich

https://uebungen.physik.uni-heidelberg.de/vorlesung/20182/qft1

Lecture notes can be found here.

## Summer term 2018: Lectures on Quantum fields and information theory

### Content

- Entropy as a measure of information
- Shannon’s information entropy
- von Neumann’s quantum entropy
- Rényi entropy
- Kullback-Leibler divergence and relative entropy

- Gaussian states
- Schrödinger functional
- Density matrix
- Correlation functions
- Unitary and symplectic transformations
- Williamson’s theorem

- Entanglement
- Reduced density matrix
- Entanglement entropies
- Modular hamiltonian for conformal field theory
- Unruh effect
- Hawking radiation, entropy and temperature of black holes
- Entanglement in an expanding quantum string

### Literature

- M. Wilde,
*Quantum Information Theory* - V. Vedral,
*Introduction to Quantum Information Science* - T. M. Cover and J. A. Thomas,
*Elements of Information Theory* - V. Vedral,
*The Role of Relative Entropy in Quantum Information Theory*, Rev. Mod. Phys. 74, 197 (2002); arXiv:quant-ph/0102094. - J. Berges, S. Floerchinger and R. Venugopalan,
*Dynamics of entanglement in expanding quantum fields*, JHEP 1804, 145 (2018), arXiv:1712.09362. - P. J. Coles, M. Berta, M. Tomamichel and S. Wehner,
*Entropic Uncertainty Relations and their Applications*, Rev. Mod. Phys. 89, 015002 (2017), arXiv:1511.04857.

### Lecture notes

Lecture notes can be accessed here.

## Summer term 2017: Lectures on Symmetries and particle physics

These lectures are intended for Master students of physics. The implications of symmetry in physics are ubiquitous and very interesting. Mathematically, they are described by group theory. I will start from finite groups and then disuss the most important Lie groups and Lie algebras, in particular SU(2), SU(3), the Lorentz and Poincaré groups, the conformal group and grand unification.

### Content

- Introduction and overview
- Finite groups
- Lie algebras and Lie groups
- SU(2)
- SU(3)
- Classification of compact simple Lie algebras
- Lorentz and Poincaré groups
- Conformal group
- Non-abelian gauge theories
- Grand unification

### Literature

- P. Ramond,
*Group Theory, A Physicist’s Survey* - A. Zee,
*Group Theory in a Nutshell for Physicsists* - J. Fuchs and C. Schweigert,
*Symmetries Lie Algebras and Representations* - H. Georgi,
*Lie Algebras in Particle Physics* - H. F. Jones,
*Groups, Representations and Physics*

## Winter term 2016/2017: Master seminar on Relativistic fluid dynamics for heavy ion collisions and cosmology

The seminar is intended for Master students of physics. We will discuss different aspects of relativistic fluid dynamics (in a wide sense). This includes theoretical aspects such as the relativistic Navier-Stokes theory (and its problems), second order theories like the one of Israel & Stewart, applications to heavy ion collisions, but also aspects of fluid dynamics in the context of cosmology and structure formation.

## Summer term 2016: Lectures on Hydrodynamics

These lectures are intentended for Batchelor and Master students of physics. They start with the basics of fluid dynamics which rely on the conservation laws for energy, momentum and particle numbers as well as thermodynamics. The most important equations of fluid dynamics will be discussed as well as the phenomena they describe. More advanced topics are turbulence and superfluidity as well as applications of fluid dynamics in current physics research, for example in the context of heavy ion physics and cosmology.

### Content

- Introduction and overview
- Symmetries and conservation laws
- Thermodynamics and equation of state
- Fluid dynamic equations of motion
- Ideal fluid flows
- Two-dimensional incompressible potential flows
- Laminar viscous flows
- Small perturbations and instabilities
- Fluids in a gravitational field
- Newtonian cosmology
- Superfluidity
- Relativistic fluid dynamics

### Literature

- L. D. Landau and E. M. Lifshitz,
*Fluid Mechanics*(Volume 6 of*Course of Theoretical Physics*) - G. Falkovich,
*Fluid mechanics* - T. E. Faber,
*Fluid dynamics for physicists* - U. Frisch,
*Turbulence* - G. K. Batchelor,
*An Introduction to Fluid Dynamics* - D. Acheson,
*Elementary Fluid Dynamics* - S. Weinberg,
*Gravitation and cosmology* - R. P. Feynman, R. B. Leighton and M. L. Sands,
*The Feynman Lectures on Physics*, Volume II

### Lecture notes

Lecture notes can be found here.