Homepage Anton Rebhan

Univ.-Prof. DI Dr. Anton Rebhan

rebhana at tph.tuwien dot ac dot at



Image:theophysbuchmittel.jpg Ende November 2014 ist (endlich) das Lehrbuch Theoretische Physik von M. Bartelmann, B. Feuerbacher, T. Krüger, D. Lüst, A. Rebhan & A. Wipf (1317 Seiten, durchgehend in Farbe) bei Springer Spektrum erschienen.

Dieses Buch wird die Grundlage für die von mir abgehaltenen Vorlesungen Elektrodynamik I (SS2015) und Elektrodynamik II (WS2016) sein.

Auf dieser Seite zu finden:

(Wie die Vorlesungen selbst, in einem bunten Gemisch aus Englisch und Deutsch:)

WS 2016/17

Elektrodynamik II

diese Vorlesung hat eine eigene Webpage

Einführung in die Quantenfeldtheorie/Introduction to QFT I

Lecture will be held in English

Monday, October 10, 12:15-13:45, Seminar room (10th floor)
Date and Time 
Tuesdays, 14:15-15:45, Seminar room (10th floor)


The lecture will follow closely the text book by Srednicki, but with the same conventions used in Introduction to QED (which coincide with those of Peskin/Schröder)!

Arbeitsgemeinschaft für fundamentale Wechselwirkungen 1

PR (132.071)

Donnerstag 14:15 Uhr, SEM 136, FH 10.OG, Vorbesprechung 6. Oktober
Topic 2016/17 
Konforme Feldtheorie

Thermal Quantum Field Theory

The lecture Thermal Quantum Field Theory with main lecturer Dr. Ayan Mukhopadhyay will be postponed to the summer term 2017. Stay tuned!

SS 2016

Introduction to Quantum Electrodynamics

Mo 09:15-10:45 FH HS 7
Next written exam
Fr October 21, 2016, 14:00-16:00 FH HS 8 (please register through TISS)
QED Lecture notes 
(pdf file, 595KB) (Englisch, 81 pp.)
NB: version of SS2016 has slight changes in sign conventions for the standard Lorentz transformation and the 4-dimensional epsilon-symbol to bring it in line with the conventions of EDI+II

Quantenfeldtheorie und Symmetrien II

VO (136.041), wird (sofern nicht einstimming Deutsch bevorzugt wird) in Englisch gehalten

Dienstags, 16:00-17:30, Seminarraum FH 10.OG gelb
Non-Abelian gauge theories, quantum anomalies
Introduction to QED oder QFTI, QFT&S I

Empfohlene Literatur:

Arbeitsgemeinschaft für fundamentale Wechselwirkungen 2

PR (132.074)

Topic 2015/16 
Gauge/gravity duality
Martin Ammon, Johanna Erdmenger, 'Gauge/Gravity Duality: Foundations and Applications'

WS 2015/16

Quantenfeldtheorie und Symmetrien I

VO (136.014), wird (sofern nicht einstimming Deutsch bevorzugt wird) in Englisch gehalten

Diese Vorlesung ist Teil 3 eines im 2-Jahreszyklus gehaltenen 4-semestrigen QFT-Kurses. Die Vorlesungen 'QFTI' und 'QFTII' werden das nächste Mal im Studienjahr 2016/17 angeboten. Um in 'QFT&Symm.' einzusteigen, reicht es aber z.B. auch, die Vorlesung 'Introduction to QED' gehört zu haben.

Dienstag 13.10.2015 Montag 12.10.2015, 12:00-13:30, Seminarraum FH 10.OG gelb
Dienstags, 16:00-17:30, Seminarraum FH 3.OG gelb Montags, 12:15-13:45, Seminarraum FH 10.OG gelb
zusätzlich Fr 30.10 und 6.11. 14:00-16:00
Introduction to non-Abelian gauge theories
Introduction to QED oder QFTI

Empfohlene Literatur:

schriftliche Prüfung 
Freitag, 5. Februar, 14:00-16:00 Uhr, Seminarraum 10.OG; nächster Termin Anfang März

Arbeitsgemeinschaft für fundamentale Wechselwirkungen 1

PR (132.071)

Donnerstag 8.10.2015, 14:15 Uhr, SEM 136, FH 10.OG
Topic 2015/16 
Gauge/gravity duality
Martin Ammon, Johanna Erdmenger, 'Gauge/Gravity Duality: Foundations and Applications'

SS 2015

Elektrodynamik I

VU (136.015) gemeinsam mit Drs. Johanna Knapp und Timm Wrase und Tutoren

Homepage der Vorlesung

Einführung in die Quantenfeldtheorie/Introduction to QFT II

1st lecture Mo 9 March, 10:30-12:00 SEM136 (10th floor)
Tu 16:00-17:30 SEM136 (from 17 March onwards)


The course follows Srednicki's book, but with West-coast conventions as in VO Introduction to QED (and textbook of Peskin/Schröder)!


135.027 PrA Teilchenphysik 
Spezielle Probleme der theoretischen Teilchenphysik (gemeinsam mit Doz. Andreas Ipp)
136.023 PrA Thermal Field Theory 
Quark-Gluon-Plasmaphysik, Materie unter extremen Bedingungen, frühes Universum (gemeinsam mit Doz. Andreas Ipp und Dr. Timm Wrase)
136.025 PrA Black Hole Physics 
inkl. Gauge/gravity (AdS/CFT) duality (gemeinsam mit Doz. Daniel Grumiller, Dr. Timm Wrase)

Previous semesters

Below you can find information on and material for lectures of past semesters. Some material pertaining to much older lectures can still be found at my (now obsoleted) old official home page.


Öffentliche Antrittsvorlesung "Quark-Gluon-Plasmaphysik": Mo., 2. Juni 2008, 17:00 Freihaus HS 5 (2. Stock, grüner Bereich)

Elektrodynamik und Relativitätstheorie 4h VO (SS 2007)

Vorlesungsfolien (kapitelweise als PDF-files)



7. Aufl. erhältlich im Sekretariat E136 (10.OG) zum Preis von 10 €; oder on-line als PDF files
Nicht vorgetragen und daher auch nicht Prüfungsstoff: Kap. IV.2.C, VI.2.D, VI.4, X.1.A, XIII, XIV.4, XVI [NB: (XVI.29) schon in Kap. XI]

Ergänzende Literaturempfehlungen etc.


Modus und Termine: unter Exams#Prof._A._Rebhan

Thermische Quantenfeldtheorie (SS 2007)

Geänderter Vorlesungstermin: Mittwoch SEM 136 (10.OG) 16:00-17:30

Ausnahme: Die Vorlesung vom Mi., den 20.6. wird auf Di., den 19.6. vorverlegt.

(Bits of) Lecture Notes (postscript files):

  1. Orders of magnitude in ultrarelativistic plasma physics (28K)
  2. Basic formulae of statistical quantum mechanics (28 K)
  3. Elementary modelling of the QCD phase transition (1.7M)
  4. Many-particle propagators (96K)
  5. Many-particle propagators for a scalar field theory (34K)
  6. Perturbation theory at zero vs. nonzero temperature (36K)
  7. Imaginary-time (Matsubara) formalism (34K)
  8. Real-time (Keldysh) formalism (38K)
  9. Decay and creation rates (21K)
  10. Gauge theories at finite T (50K)
  11. Linear response in gauge theories at finite T (53K)
  12. Fermionic quasi-particles (42K)
  13. Hard-thermal-loop resummation (26K)
  14. Symmetry restoration in spontaneously broken theories (29K)

(More advanced) Lecture Notes from courses I gave at International Summer Schools:

September-October 2005 I held a series of lectures as "James H. Simons lecturer" at the YITP, State Univ. of New York at Stony Brook on Thermal Field Theory. Scanned lecture notes are available here.


Research positions held

Research Interests and Projects

My research interests comprise theoretical particle physics and its ramifications, in particular quantum field theory, gauge theories, supersymmetry, thermal field theory, and cosmology.

My main current research activities involve

Quantum field theory at finite temperature and density 
which is the theoretical tool to analytically study quantum matter under extreme conditions, e.g. ultrarelativistic temperatures and densities that existed in the early universe in the first second after the Big Bang. Of particular interest is the high-temperature regime of quantum chromodynamics which is supposed to describe the quark-gluon plasma that filled the universe during the first 10 μsec's. This form of matter is now believed to be produced fleetingly in "Little Bangs" in ultrarelativistic heavy-ion collider experiments such as RHIC and also expected to exist in the interior of (some) neutron stars.
Nonabelian plasma instabilities 
An open problem in quark-gluon plasma physics is to understand the very fast apparent thermalization observed at RHIC and also the extremely low viscosity of the quark-gluon plasma. For both phenomena it has been suggested that nonabelian plasma instabilities may play a crucial role. Together with my former student Paul Romatschke (now at the University of Washington, Seattle) and former post-doc Mike Strickland (now at FIAS, Frankfurt) we were the first group to carry out numerical simulations of nonabelian plasma instabilities in Yang-Mills theories, which are now being studied by several groups in the US and Europe. Recently we have published the first numerical study of nonabelian plasma instabilities in an anisotropically expanding system.
Quantum theory of (supersymmetric) solitons 
In recent years, major progress in the understanding of non-perturbative aspects of (supersymmetric) field (and string) theories has been achieved by exploiting dualities in which quantized (supersymmetric) solitons play a central role. Initially it was thought that supersymmetric solitons saturating the so-called BPS bound are protected from quantum corrections, but in collaboration with Peter van Nieuwenhuizen from the State Univ. of New York at Stony Brook, we have found, and are still working out, a number of subtleties and nontrivial results, in particular for 1+1-dimensional supersymmetric kinks (domain walls) and 3+1-dimensional monopoles. Other objects of interest are supersymmetric "confined monopoles" which permit analytical studies with relevance to the outstanding confinement problem of nonabelian gauge theories.


Since 1984 (the start of my doctoral studies), I have written or co-authored over 150 scientific publications, most of which are available on-line (freely accessible as arXiv.org e-prints) through:


Public outreach

TU News involving members of my group:

For more information and news on nuclear and particle physics written for the public visit:

Image:whatsnew.gif teilchen.at

This contains the public outreach web pages of the Fachausschuss für Kern- und Teilchenphysik (FAKT) of the ÖPG (Austrian Physical Society), which I was involved in creating and where I am a regular author.

It also hosted the coordinated efforts of Austrian scientists to appeal for a reversal of the recent decision by the ministry of science to cancel Austria's membership of CERN

My collaborators

List of collaborators with joint scientific publications and links to their present home institutions/home pages (where available)

  1. Maximilian Attems (joint papers) Barcelona
  2. Carl M. Bender (joint papers) Washington Univ., St. Louis (US)
  3. Jean-Paul Blaizot (joint papers) Service de Physique Théorique, CEA Saclay (F)
  4. Dietrich Bödeker (joint papers) Univ. Bielefeld (D)
  5. Frederic Brünner (joint papers) TU Wien
  6. Margaret E. Carrington (joint papers) Brandon University, Manitoba (Canada)
  7. Rosanne Di Stefano (joint papers) YITP, State Univ. of New York at Stony Brook (US)
  8. Ian Drummond (joint papers) DAMTP, University of Cambridge (UK)
  9. Fritjof Flechsig (joint papers) Univ. Hannover (D)
  10. Kazuo Fujikawa (joint papers) Univ. of Tokyo (Japan)
  11. Peter Gaigg (joint papers) TU Wien (now: Siemens Austria)
  12. Andreas Gerhold (joint papers) TU Wien → Univ. of North Carolina, Raleigh (US)
  13. Alfred S. Goldhaber (joint papers) YITP, State Univ. of New York at Stony Brook (US)
  14. Antti Gynther (joint papers) Univ. Helsinki (Finland) (HP) → Brandon University, Canada → TU Wien
  15. Ron Horgan (joint papers) DAMTP, University of Cambridge (UK)
  16. Edmond Iancu (joint papers) Service de Physique Théorique, CEA Saclay (F)
  17. Andreas Ipp (joint papers) TU Wien (HP) → ECT*, Trento (I) → MPI für Kernphysik, Heidelberg (D)
  18. Keijo Kajantie (joint papers) University of Helsinki (Finland)
  19. Robert Knienider (joing papers) TU Wien
  20. Randy Kobes (joint papers) University of Winnipeg (Canada)
  21. Ulrike Kraemmer (joint papers) TU Wien
  22. Thomas Kreuzberger (joint papers) TU Wien
  23. Maximilian Kreuzer (joint papers) Staff, TU Wien
  24. Wolfgang Kummer (joint papers) Staff, TU Wien
  25. Gabor Kunstatter (joint papers) University of Winnipeg (Canada)
  26. Peter Landshoff (joint papers) DAMTP, University of Cambridge (UK)
  27. Karl Landsteiner (joint papers) Universidad Autónoma de Madrid (HP)
  28. Martin Leblanc (joint papers) University of Waterloo (Canada)
  29. Dietrich Liko (joint papers) TU Wien → HEPHY, Wien
  30. Christoph Mayrhofer (joint papers) Munich
  31. Gerry McKeon (joint papers) University of Western Ontario (Canada)
  32. Guy D. Moore (joint papers) McGill University, Montreal (Canada)
  33. Stanisław Mrówczyński (joint papers) Sołtan Inst., Warsaw (PL)
  34. Ayan Mukhopadhyay (joint papers) TU Wien
  35. Herbert Nachbagauer (joint papers) TU Wien → LAPP, Annecy-le-Vieux (F) → Univ. Heidelberg (D)
  36. Otto Nachtmann (joint papers) Univ. Heidelberg (D)
  37. Horatiu Nastase (joint papers) YITP, State Univ. of New York at Stony Brook (US) → Brown Univ. (US) → Tokyo Institute of Technology
  38. Denis Parganlija (joint papers) TU Wien
  39. Francisco Peña-Benitez (joint papers) Universidad Autónoma de Madrid
  40. Olivier Piguet (joint papers) Univ. Geneva (CH) → Espirito Santo Univ., Vitoria (Brazil)
  41. Florian Preis (joint papers) TU Wien
  42. Urko Reinosa (joint papers) Ecole Polytechnique, Palaiseau (F) → TU Wien → Univ. Heidelberg (D)
  43. Paul Romatschke (joint papers) U.o.Colorado
  44. Andreas Schmitt (joint papers) Univ. Frankfurt → MIT → Washington U. St.Louis → TU Wien → U. Southampton
  45. Robert Schöfbeck (joint papers) TU Wien → HEPHY, Wien
  46. Hermann Schulz (joint papers) Univ. Hannover (D)
  47. Dominik J. Schwarz (joint papers) TU Wien → Univ. Bielefeld (D)
  48. Manfred Schweda (joint papers) Staff, TU Wien
  49. Tom Sherry (joint papers) University Coll., Galway (Ireland)
  50. Dominik Steineder (joint papers) TU Wien
  51. Misha Stephanov (joint papers) YITP, State Univ. of New York at Stony Brook (US) → Univ. of Chicago (US)
  52. Stefan Stricker (joint papers) TU Wien
  53. Mike Strickland (joint papers) Duke Univ. (US) → TU Wien → U. Helsinki → FIAS Frankfurt (D) → Gettysburg College → Kent U.
  54. Peter van Nieuwenhuizen (joint papers) YITP, State Univ. of New York at Stony Brook (US)
  55. Dmitri V. Vassilevich (joint papers) Univ. Leipzig (D) → Univ. Sao Paolo, Brazil
  56. Aleksi Vuorinen (joint papers) Univ. Helsinki (Finland) (HP) → Washington University, Seattle (US) → TU Wien → CERN → Univ. Bielefeld (D) → Helsinki
  57. Robert Wimmer (joint papers) TU Wien → Univ. Hannover → YITP, State Univ. of New York at Stony Brook (US) → ENS Lyon
  58. Gunter Wirthumer (joint papers) TU Wien (now: Alcatel)

(Co-)organized Workshops and Conferences

Research workshops and conferences where I am/was organizer or on the advisory board: