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Supercomputer simulations of field theories

English title Supercomputer simulations of field theories
Applicant de Forcrand Philippe
Number 116278
Funding scheme Project funding (Div. I-III)
Research institution Institut für Theoretische Physik ETH Zürich
Institution of higher education ETH Zurich - ETHZ
Main discipline Theoretical Physics
Start/End 01.10.2007 - 30.09.2009
Approved amount 95'846.00
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Keywords (6)

Lattice gauge theory; thermodynamics; Quantum field theory; Lattice; Thermodynamicx; Monte Carlo

Lay Summary (English)

Lay summary
The study of QCD by numerical Monte Carlo simulations on a lattice is a well-established, successful approach. Thermodynamic properties of QCD can be determined with reasonable accuracy, for an equilibrium system where the net matter density is zero. One of the interesting findings is that, even in the deconfined regime, QCD does not behave as a free gas of massless quarks and gluons for experimentally reachable temperatures.• A first subproject investigates this phenomenon in a toy model which is easy to simulate and to some extent analytically tractable, Z2 gauge theory in (2 + 1) dimensions. At non-zero baryon density, the study of QCD by lattice simulations is still in its infancy, because of the “sign problem” which makes the usual Monte Carlo approach inapplicable. Three directions of attack are proposed.• The possible emergence of a crystal phase will be studied in a toy model, the Nambu-Jona-Lasinio model in (2 + 1) dimensions.• The phase diagram of 4-flavor QCD will be investigated via simulations of the canonical ensemble, at fixed non-zero baryon density, allowing for a crosscheck of earlier results on a small system, and a first extrapolation to the thermodynamic limit.• The phase diagram of (2+1)-flavor QCD, including a possible critical point, will be studied on a lattice fine enough that an extrapolation of the result to the continuum limit can be attempted.Pursuing these four related subprojects requires the help of an experienced postdoc, for whom I ask financial support for two years.
Direct link to Lay Summary Last update: 21.02.2013

Responsible applicant and co-applicants

Associated projects

Number Title Start Funding scheme
108073 Supercomputer simulations of field theories 01.10.2005 Project funding (Div. I-III)
122117 Supercomputer simulations of field theories 01.10.2009 Project funding (Div. I-III)