Presently the course:
"Pfadintegrale in der Quantenfeldtheorie"
Previous Semester: "Pfadintegrale in der Feldtheorie"
Next Semester: "Pfadintegralmethoden in der Quantentheorie"
Research topics in Theoretical Physics
My research interests have dealt mainly with nonperturbative
phenomena in Quantum Field Theory, as in lattice Quantum Chromo
finite baryon densities
and temperatures, where attempts are made
to obtain nuclear matter from first principles in QCD.
I have also worked on the Feynman
path integral method
in first quantization, where the Grand-canonical system of nucleons
(many fermions) was simulated in order to study the nuclear condensation
at high densities.
Lately we have also developed a new formalism
in order to combine
real time correlations among observables in subsystems of quantum systems
at finite Temperatures. For this we have also developed a method that
can solve numerically the needed real-time Green's function based on
a discretized version of the Path integral formalism. With this we
have seen interesting evolutions for the Probability distribution
in time for several simple systems, including ones with
tunneling phenomena. In the last few months I have been able to
solve the 1+1 dimensional "Quantum Ising Model" for its space-time
spin correlation functions at finite T. This model, besides giving
very interesting results for the spin relaxations, is the first case
where we can check that this formalism gives a consistent
thermodynamic limit. The ultimate hope is to be able to say something
about the real time behaviour of Instanton tunneling in net Baryon number
In another project on topological effects
in QFT, we have been able to
observe directly instantons on the lattice with a new method
that does not require cooling.
In the past I also worked on a
field strength formulation of
gauge theories with the hope that such dual picture could improve
the convergence at strong couplings.
You can see my full publication list
or access my
SLAC list to retrieve them.
(Not fully actualized)
Other Research topics
I have also developed several other projects over several years mainly
"Artificial Intelligence" through computational means.
Among them I would like to cite:
- An OCR program.
- A Dynamical Yellow Pages system on the Web.
- A Dynamical Comments Web application.
- In the last few years I have developed
a Text-to-Speech program for people that are
in danger of loosing their voice... It preserves
their original natural voice and speaking style,
and therefore lets them conserve an important
aspect or their personality...
For more details read the Web-links:
Meine eigene Stimme (German)
Mi propia Voz (Spanish)