Yes, it is done! I have finished my PhD in Physics
(german academic title Dr. rer. nat) in June 2005.
My dissertation entitled
"Quantum Fluctuations and Cosmic Inflation" is about systematic approximations for inflationary perturbations
and for preheating after inflation. The thesis is published
electronically and you may find it, e.g.,
in the eldorado system or within the Verbundkatalog NRW (login as guest and search for "Heinen, Andreas") .
Between 10/2002 and 06/2005 I was a graduate student in the group of
Prof. Dr. J. Baacke in
the High Energy Theory (HET) Group
at the Technical University of Dortmund (formely known as University of Dortmund).
Here you will find my old university website.
I worked with
Prof. Dr. J. Baacke on preheating and more generally on
nonequilibrium quantum field theory.
I also worked in close collaboration with some excellent people from
Los Alamos National Laboratory, located in
New Mexico, U.S.A. and I had the opportunity to visit the lab twice for
medium term research stays.
Dr. Salman Habib,
Dr. Katrin Heitmann and
Dr. Gerard Jungman
(and also with Dr. Carmen Molina-Paris,
University of Leeds) I wrote some nice articles
on the inflationary perturbation spectrum (see below).
Before my graduate studies I was a diploma student at the University
The diploma thesis was finished in 09/2002.
- The inflationary perturbation spectrum
(see astro-ph/0406134 and
- Controlled semi-analytic expansions beyond standard
- Precise and error-controlled calculation of the primordial
power spectrum, the spectral index and other characterizing quantities
- Predictions from inflation
- Nonequilibrium and
finite temperature quantum field theory
- Early cosmolgy: (p)reheating after cosmic inflation
and dynamics of phase transitions
Publications and Talks
The most recent list of my publications is available from SPIRES.
Note: In Particle and High Energy Physics authors are listed in
Inflationary Perturbations and Precision Cosmology.
Salman Habib, Andreas Heinen, Katrin Heitmann and Gerard Jungman,
LA-UR-04-8611, DO-TH-04-14, Jan 2005. 24pp. Published in
Characterizing inflationary perturbations: the uniform approximation.
Salman Habib, Andreas Heinen, Katrin Heitmann, Gerard Jungman and Carmen Molina-Paris,
LA-UR-04-3183, DO-TH-04-06, Jun 2004. 17pp. Published in Phys.Rev.D70:083507,2004.
Out-of-equilibrium evolution of quantum fields in the hybrid model with quantum back reaction.
Jurgen Baacke and Andreas Heinen. DO-TH-03-18, Nov 2003. 35pp. Published in
Quantum dynamics of Phi**4 field theory beyond leading order in 1+1 dimensions
Jurgen Baacke and Andreas Heinen. DO-TH-03-07, May 2003. 4p. Published in Phys.Rev.D68:127702,2003.
Nonequilibrium evolution of Phi**4 theory in 1+1 dimensions in the two-particle point-irreducible formalism
Jurgen Baacke and Andreas Heinen. DO-TH-02-22, Dec 2002. 14pp.
Phys. Rev. D67:105020,2003. [e-Print Archive:
Conference action pictures
Conference organizers like to take pictures of participants. Here you can see how a physics conference may look like:
- The Inflationary Perturbation Spectrum: Numerical and Analytical Calculations
Salman Habib, Andreas Heinen, Katrin Heitmann and Gerard Jungman.
Proceedings of the 8th Paris Cosmology Colloquium
"WMAP and the Early Universe", Paris 09/10 Dec 2004, in preparation.
- Nonequilibrium dynamics in scalar hybrid models
Andreas Heinen. Proceedings of the 6th Conference on Strong and Electroweak Matter 2004, Helsinki, Finnland, 16-19 Jun 2004, to appear [e-Print Archive: hep-ph/0407064]
The scalar O(N) model beyond the hartree approximation, in and out of equilibrium.
Jurgen Baacke, Andreas Heinen and Stefan Michalski.
Proceedings of the XII. International Conference on Selected Problems in Modern Physics , Dubna, 8-11 June 2003. [proceedings (e-Print)]
Quantum Fluctuations and Cosmic Inflation -- Quantenfluktuationen und kosmische Inflation
Andreas Heinen. Thesis defense. University of Dortmund, 24 Jun 2005.
The Inflationary Perturbation Spectrum: Numerical and Analytical Calculations
Andreas Heinen. Talk presented at the 8th Paris Cosmology Colloquium
"WMAP and the Early Universe", Observatoire de Paris, Paris Campus, France,
09/10 Dec 2004. The
some photos and the lectures can be found on the website.
Nonequilibrium dynamics in scalar hybrid models
Andreas Heinen. Talk presented at the conference
Strong and Electroweak Matter 2004, Helsinki, Finnland, 16-19 Jun 2004. (abstract, transparencies, animation ...)
Quantum dynamics of Phi**4 field theory in the two-particle point-irreducible formalism
Andreas Heinen. Talk presented at the summer school Quantum fields in and out of equilibrium, Bielefeld, 23-27 Sep 2003. (transparencies)
Non-equilibrium dynamics of Phi**4 theory in the 2PPI formalism.
Andreas Heinen. Talk presented at the workshop Common Trends in Cosmology and Particle Physics,
an Eötvös Graduate Course and Workshop in Physics (see also CERN AGENDA), Balatonfüred, Lake Balaton, 23-28 June 2003. (transparencies)
The Inflationary Perturbation Spectrum: Is Inflation ready for
Andreas Heinen. Seminar talk in the cosmology seminar at the University
of Bielefeld, 03 Dec 2004.
Nonequilibrium Dynamics in Quantum Field Theories -
The Two-Particle Point-Irreducible Approximation
Andreas Heinen. Seminar talk in the T-8 group seminar (friday)
during a short term visit at the Los Alamos National Laboratory,
Los Alamos, New Mexico, 26 Mar -- 08 Apr 2004.
The Inflationary Perturbation Spectrum: Is Inflation ready for
Andreas Heinen. Seminar talk in the theory seminar "Aktuelle Probleme der Elementarteilchentheorie", Dortmund, 25 Nov 2004
Quantum fields out of equilibrium
Andreas Heinen. Talk presented at the workshop Flavorphysics, organized by
Graduiertenkolleg Physics of Elementary Particles
at Accelerators and in the Universe, IBZ Bochum, 11-13 Nov 2003. (transparencies, DivX movie [2,7MB]
Quantum dynamics of Phi**4 field theory beyond leading order
Andreas Heinen. Talk at the theory seminar "Aktuelle Probleme der Elementarteilchentheorie", Dortmund, 5 Jun 2003
- Das Inverse Dirichlet Problem
Talk in the seminar about Functional analysis and mathematical physics, Prof. Dr. H. Koch and Prof. Dr. J. Baacke, winter term 2002/2003
I have finished my diploma thesis at the
University of Dortmund on 12th Sep 2002.
The supervisor was Prof. Dr. Jürgen Baacke who is head of the Theory Group TIIIb.
The german title of my Diploma thesis is "Nichtgleichgewichtsdynamik und
Thermalisierung in der Quantenfeldtheorie" (Nonequilibrium
Dynamics And Thermalization In Quantum Field Theory).
The main subject of my thesis is the renormalization
of the out-of-equilibrium dynamics in a scalar quantum field theory.
I have utilized a formalism that is based on a two-particle irreducible (2PI)
effective action to study the time evolution
of mean fields and correlation functions and their quantum fluctuations,
respectivly. Beyond the leading orders in a
loop or 1/N (where N is the number of quantum fields) expansion, the
self-energy insertions in the Green's function propagator become nonlocal
in time and momentum. Therefore, one has to solve coupled integro-differential
equations. These equations are nonlinear in the fields and nonlocal in time
(memory of the past).
In general this is a very demanding numerical task. Furthermore,
within relativistic quantum field theory one is plagued by
the problem of ultraviolet and infrared divergencies.
Renormalization is a general strategy in order to solve this difficult problem.
Furthermore the issue of renormalization is much more complicated in
nonpertubative approximation schemes than in perturbative ones.
Based on the two-loop-2PI approximation I have developed
an expansion of the unequal-time Green's function. This expansion is well
suited for the isolation of divergencies in nonlocal self-energies.
It was possible to map the divergencies to standard divergencies that appear in
perturbative quantum field theories. The divergencies have been expressed in terms of
well-known Feynman integrals in four-dimensional momentum space.
Therefore, one has the freedom to
choose a preferred regularization scheme,
like, e.g., dimensional regularization.
You can download here transparencies from some of my earlier seminar talks.
Please contact me if you want to do so (you need an username and a password).
||Seminar talk (in German) at "Experimentelle Tests des
Standardmodells" (K. Zuber)
||PS (gzip 340 kB)
||Eichtheorien: SU(5), SO(10)
(Gauge Theories: ...)
|Seminar talk (in German) at "Gruppen und Symmetrien" (Groups
and Symmetries) (E.A. Paschos)
||PS (gzip 190 kB)
(Sine Gordon Theory, Solitons)
||Seminar talk (in German) at "Nichtperturbative Methoden in der
Quantenfeldtheorie" (Non Perturbative Methods in Quantum
Field Theory) (J. Baacke)
||PS (gzip 360 kB)
||Standardmodell der Elementarteilchenphysik und
(Standard Model of Elementary Particle Physics and GUTs)
||Seminar talk (in German) at "Teilchenastrophysik"
(Particle Astro Phyics) (J. Baacke and K. Zuber)
||PS (gzip 299 kB)
PDF (585 kB)
Over the years I had the chance to work
as a teaching assistant (preparing/giving exercises and written exams):
- Physics I , winter term 2001/2002
first semester experimenal and theoretical course, covering classical mechanics, thermodynamics and special relativity
- Physics II, summer term 2002
second semester experimenal and theoretical course, covering classical electrodynamics
- Computational Physics, summer term 2003
sixth semester theoretical course covering numerical methods with
applications in physics (statistical methods, stochastic processes,
Monte-Carlo methods, quantum mechanics on the lattice, Ising model,
variational functionals, nonlinear dynamics and chaos)
- Computational Physics, summer term 2004
- Computational Physics, summer term 2005
- Seminar Quantum Field Theory - QED I, summer term 2004.
Assistance and help for the students.