HGS-HIRe Power Week on Functional Methods and Applications in QCD - February 2015 - Castle Herborn



February 23-27, 2015


Functional Methods and Applications in QCD


Christian Fischer (U Giessen)
Bernd-Jochen Schaefer (U Giessen)


Gerhard Burau (HGS-HIRe)

Agenda (preliminary)

  Monday Tuesday Wednesday Thursday Friday
Feb 23 Feb 24 Feb 25 Feb 26 Feb 27
9:00-10:00 Arrival Lecture: Topic of Day 2 Lecture: Topic of Day 3 Lecture: Topic of Day 4 Lecture: Topic of Day 5
10:30-11:00 Break Break Break Break
11:00-12:30 Welcome/Introduction Preparing the Tasks Preparing the Tasks Preparing the Tasks Preparing the Tasks
Lunch Lunch Lunch Lunch Lunch
Lecture: Topic of Day 1 Individual Hands-on/
Individual Hands-on/
Individual Hands-on/
Individual Hands-on/
15:00-15:30 Break Break Break Break Break
Individual Hands-on/
Individual Hands-on/
Individual Hands-on/
Individual Hands-on/
Group Session/
17:30-18:30 Group Session Group Session Group Session Group Session Travel
Dinner Dinner Dinner Dinner
Questions/Wrapup Questions/Wrapup Questions/Wrapup Questions/Wrapup

Course Information

Course Contents/Program

The topic of the course is a general introduction to functional methods such as the functional renormalization group and Dyson-Schwinger equations. During the power week we will concentrate on several projects on various renormalization group approaches in quantum field theories (e.g. Wetterich equation, Callan-Symanzik equations, Wilson RG etc.), its Dyson-Schwinger equations and applications thereof. Examples cover investigations of scalar theories in great detail, fixed points and phase diagrams, criticalities, aspects of chiral symmetry breaking and confinement in QCD etc.. After an introductory lecture to the topic of the day, the participants will perform own basic computations.

What to know

Participants are supposed to have heard about quantum field theory at some basic level (for example textbook by Peskin & Schroeder or Ryder).

What to bring

Ideally, bring a laptop with some program for mathematical manipulations (e.g. Mathematica or Maple) and/or any other high-level programming language (e.g. Fortran, C++, python etc.) with some driver packages to solve differential equations and integral equations.

What to read

It helps to read chapters 9 - 11 of the textbook "Quantum Field Theory" by Peskin & Schroeder. If you can read more chapters of that book (e.g. chapters 12 & 13) it will be helpful but is not necessary.
More specific review articles are Renormalization group approach towards the QCD phase diagram , B.-J. Schaefer , J. Wambach Phys.Part.Nucl. 39 (2008) 1025-1032 hep-ph/0611191 , Infrared properties of QCD from Dyson-Schwinger equations C. S. Fischer , J.Phys. G32 (2006) R253-R291 hep-ph/0605173
More literature will be suggested during the week according to the interests of the participants.

Practical Information


The scientific program of the power week starts with a welcome and introduction session on Monday morning at 11:00. Please arrive well in time. Check-in, i.e. distribution of the rooms, will be on Monday after lunch. The power week will close on Friday late afternoon.

Late arrivals

If you will arrive late please contact the coordinator in advance.


The power week will be held at Theologisches Seminar Herborn, Nassaustraße 36, D-35745 Herborn.
The website of the venue can be found here >.


Travel to the venue is on Monday, February 23, in the morning. Please arrange for individual travel to the location. We encourage to use public transport or car pools. Directions can be found here >.


Accomodation is mostly in twin bed rooms.


Special food requirements (vegetarian, other) should be communicated to the coordinator in advance.
Full board is included in the power week.

What to bring

Clothing: The power week will be very informal, so only casual attire is necessary.
Linen/towel/others: All rooms have linen and towel, no need to bring them. Please bring your soap and hair dryer (if needed).
Other material Please bring sufficient amounts of writing materials (paper etc.).


Wireless internet access is available. Please bring your own laptop.


All basic expenses are covered by HGS-HIRe. You only have to pay for local expenses (drinks etc.). All meals are included.


Though this trip will not generate any costs for your supervisor or group please do not forget to file a trip request so you are covered by insurance during the power week. Please ask the secretary of your official supervisor at the university for the appropriate form.


  1. Gabor Almasi
  2. Kirill Boguslavski
  3. Hamda Cherif
  4. Madhumita Dhar
  5. Xiaoyu Guo
  6. Jan Haas
  7. Julian Metzger
  8. Pierre Moreau
  9. Daniel Nowakowski
  10. Micha Ober
  11. Simon Resch
  12. Marco Schramm
  13. Philipp Scior
  14. Eduard Seifert
  15. Christian Söhngen
  16. Enrico Speranza
  17. Thorsten Steinert
  18. Paul Wallbott
  19. Esther Weil
  20. Christian Welzbacher
  21. Johannes Weyrich
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