
Physics
PDFfile
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.
With
Dr. Salman Habib,
Dr. Katrin Heitmann and
Dr. Gerard Jungman
(and also with Dr. Carmen MolinaParis,
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
of Dortmund.
The diploma thesis was finished in 09/2002.

 The inflationary perturbation spectrum
(see astroph/0406134 and
astroph/0501130)
 Controlled semianalytic expansions beyond standard
slowroll approximations
 Precise and errorcontrolled 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
(hepph/0311282,
hepph/0407064)

The most recent list of my publications is available from SPIRES.
Regular articles
Note: In Particle and High Energy Physics authors are listed in
alphabetical order.

Inflationary Perturbations and Precision Cosmology.
Salman Habib, Andreas Heinen, Katrin Heitmann and Gerard Jungman,
LAUR048611, DOTH0414, Jan 2005. 24pp. Published in
Phys.Rev.D71:043518,2005.
[ePrint Archive:
astroph/0501130]

Characterizing inflationary perturbations: the uniform approximation.
Salman Habib, Andreas Heinen, Katrin Heitmann, Gerard Jungman and Carmen MolinaParis,
LAUR043183, DOTH0406, Jun 2004. 17pp. Published in Phys.Rev.D70:083507,2004.
[ePrint Archive:
astroph/0406134]

Outofequilibrium evolution of quantum fields in the hybrid model with quantum back reaction.
Jurgen Baacke and Andreas Heinen. DOTH0318, Nov 2003. 35pp. Published in
Phys.Rev.D69:083523,2004.
[ePrint Archive:
hepph/0311282]

Quantum dynamics of Phi**4 field theory beyond leading order in 1+1 dimensions
Jurgen Baacke and Andreas Heinen. DOTH0307, May 2003. 4p. Published in Phys.Rev.D68:127702,2003.
[ePrint Archive:
hepph/0305220]

Nonequilibrium evolution of Phi**4 theory in 1+1 dimensions in the twoparticle pointirreducible formalism
Jurgen Baacke and Andreas Heinen. DOTH0222, Dec 2002. 14pp.
Published in
Phys. Rev. D67:105020,2003. [ePrint Archive:
hepph/0212312]
Conference contributions
Conference action pictures
Conference organizers like to take pictures of participants. Here you can see how a physics conference may look like:
WMAP04, Paris

WMAP04, Paris

SEWM04, Helsinki

SEWM04, Helsinki


Proceedings
 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, 1619 Jun 2004, to appear [ePrint Archive: hepph/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, 811 June 2003. [proceedings (ePrint)]
Talks

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
program,
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, 1619 Jun 2004. (abstract, transparencies, animation ...)

Quantum dynamics of Phi**4 field theory in the twoparticle pointirreducible formalism
Andreas Heinen. Talk presented at the summer school Quantum fields in and out of equilibrium, Bielefeld, 2327 Sep 2003. (transparencies)

Nonequilibrium 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, 2328 June 2003. (transparencies)
Invited Talks

The Inflationary Perturbation Spectrum: Is Inflation ready for
Precision Cosmology?
Andreas Heinen. Seminar talk in the cosmology seminar at the University
of Bielefeld, 03 Dec 2004.

Nonequilibrium Dynamics in Quantum Field Theories 
The TwoParticle PointIrreducible Approximation
Andreas Heinen. Seminar talk in the T8 group seminar (friday)
during a short term visit at the Los Alamos National Laboratory,
Los Alamos, New Mexico, 26 Mar  08 Apr 2004.
Graduiertenkolleg

The Inflationary Perturbation Spectrum: Is Inflation ready for
Precision Cosmology?
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, 1113 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
Other Talks
 Das Inverse Dirichlet Problem
Andreas Heinen.
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 outofequilibrium dynamics in a scalar quantum field theory.
I have utilized a formalism that is based on a twoparticle 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
selfenergy insertions in the Green's function propagator become nonlocal
in time and momentum. Therefore, one has to solve coupled integrodifferential
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 twoloop2PI approximation I have developed
an expansion of the unequaltime Green's function. This expansion is well
suited for the isolation of divergencies in nonlocal selfenergies.
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
wellknown Feynman integrals in fourdimensional 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).

Title 
Author 
Date 
Content 
PSDocument 
Image 

GlashowWeinbergSalamModell 
A.S. Heinen 
12/05/2000 
Seminar talk (in German) at "Experimentelle Tests des
Standardmodells" (K. Zuber) 
PS (gzip 340 kB) 


Eichtheorien: SU(5), SO(10) (Gauge Theories: ...) 
A.S. Heinen 
01/12/2000
08/12/2000 
Seminar talk (in German) at "Gruppen und Symmetrien" (Groups
and Symmetries) (E.A. Paschos) 
PS (gzip 190 kB) 


SineGordonTheorie, Solitonen (Sine Gordon Theory, Solitons) 
A.S. Heinen 
13/12/2000 
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
GUTs (Standard Model of Elementary Particle Physics and GUTs) 
A.S. Heinen 
30/05/2001 
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,
MonteCarlo 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.

