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Supercomputer simulations of field theories

English title Supercomputer simulations of field theories
Applicant de Forcrand Philippe
Number 122117
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 01.10.2009 - 30.09.2011
Approved amount 152'813.00
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Keywords (10)

Lattice gauge theory; thermodynamics; dimensional reduction; effective field theory; QCD; Kaluza-Klein; extra dimensions; string theory; lattice; non-perturbative

Lay Summary (English)

Lead
Lay summary
Consider a system living in (d+1) dimensions, one of them "curled up"into a small circle. If the size of this compact dimension is much smallerthan the typical size of the objects living in the system, the systemlooks effectively only d-dimensional: this is the idea of dimensional reduction.Even though the compact dimension is hidden from direct observation,its presence has a significant influence on the dynamics of the dimensionallyreduced system in a very subtle way: The symmetries of the effective d-dimensional world are inherited from those of the original (d+1)-dimensional one. This affects the d-dimensional physics even at large distances, far larger than the size of the compact dimension.We study what happens in two particularly interesting cases: (1) In quantum field theory, putting a system at finite temperature is achieved by compactifying the time direction. The radius of the time dimension is inversely proportional to the temperature, so that dimensional reductiontakes place at high temperatures. We study the dimensional reduction ofhot Yang-Mills theory, which is important for understanding the experimentaldata produced by heavy-ion collisions at RHIC and in upcoming heavy-ionexperiments at CERN's LHC. where an even higher temperature will be reached.(2) The standard model of particle physics predicts that the upcoming proton-proton experiments at LHC will discover the Higgs particle, responsible forthe electro-weak symmetry breaking and thus for the origin of the massesof elementary particles. The standard model describes this phenomenon, but unfortunately gives no explanation. One of the theoretical models trying toexplain the origin of the Higgs is the Kaluza-Klein model, a prototype forhigher-dimensional string theories, where the Higgs is a direct consequenceof the symmetries of the five-dimensional world. To address this questionwe study five-dimensional Yang-Mills theory with one dimension compactified.Goal: Quantitative understanding of dimensional reduction beyond perturbation theory.Impact: - Understanding of QCD at high temperature (and experiments probing it)- Understanding of effect of extra-dimensions in our 4d world.
Direct link to Lay Summary Last update: 21.02.2013

Responsible applicant and co-applicants

Employees

Publications

Publication
Cold quark matter
Kurkela A, Romatschke P, Vuorinen A (2010), Cold quark matter, in Physical Review D - Particles, Fields, Gravitation and Cosmology, 81(10).
Lattice QCD thermodynamics on the Grid
Moscicki JT, Wos M, Lamanna M, de Forcrand P, Philipsen O (2010), Lattice QCD thermodynamics on the Grid, in COMPUTER PHYSICS COMMUNICATIONS, 181(10), 1715-1726.
Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential.
de Forcrand Philippe, Philipsen Owe (2010), Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential., in Physical review letters, 105(15).
The phase diagram of Yang-Mills theory with a compact extra dimension
de Forcrand P, Kurkela A, Panero M (2010), The phase diagram of Yang-Mills theory with a compact extra dimension, in JOURNAL OF HIGH ENERGY PHYSICS, (1006), 050.
Looking inside neutron stars: Microscopic calculations confront observations
Kurkela Aleksi, Romatschke Paul, Vuorinen Aleksi, Wu Bin, * (2010), Looking inside neutron stars: Microscopic calculations confront observations.
Nuclear physics from lattice QCD at strong coupling.
de Forcrand Ph, Fromm M (2010), Nuclear physics from lattice QCD at strong coupling., in Physical review letters, 104(11).
Nf3g6 term in the pressure of hot QCD
Gynther A, Kurkela A, Vuorinen A (2009), Nf3g6 term in the pressure of hot QCD, in Physical Review D - Particles, Fields, Gravitation and Cosmology, 80(9).
Thermodynamics of the QCD plasma and the large-N limit.
Panero Marco (2009), Thermodynamics of the QCD plasma and the large-N limit., in Physical review letters, 103(23).
Beyond perturbation theory in extra-dimensional model building
de Forcrand Philippe, Kurkela Aleksi, Panero Marco, Beyond perturbation theory in extra-dimensional model building, in Silvia Monfardini (ed.), 96.
Constraints for the QCD phase diagram from imaginary chemical potential
Philipsen Owe, de Forcrand Philippe, Constraints for the QCD phase diagram from imaginary chemical potential, in Proceedings of Science, LATTICE2010, 211.
Continuous time Monte Carlo for lattice QCD in the strong coupling limit
Unger Wolfgang, de Forcrand Philippe, Continuous time Monte Carlo for lattice QCD in the strong coupling limit, in Journal of Physics G: Nuclear and Particle Physics, 38, 12419.
Dimensional reduction and the phase diagram of 5d Yang-Mills theory
Kurkela Aleksi, de Forcrand Philippe, Panero Marco, Dimensional reduction and the phase diagram of 5d Yang-Mills theory, in Proceedings of Science, LAT2009, 050.
Equation of state at finite density from imaginary chemical potential
Takaishi Tetsuya, de Forcrand Philippe, Nakamura Atsushi, Equation of state at finite density from imaginary chemical potential, in Proceedings of Science, LAT2009, 198.
Nuclear physics from strong coupling QCD
Fromm Michael, de Forcrand Philippe, Nuclear physics from strong coupling QCD, in Proceedings of Science, LAT2009, 193.
Numerical properties of staggered overlap fermions
de Forcrand Philippe, Kurkela Aleksi, Panero Marco, Numerical properties of staggered overlap fermions, in Proceedings of Science, LATTICE2010, 080.
Phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
Kaczmarek Olaf Unger Wolfgang et al., Phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential, in Physical Review D, 83, 014504.
Simulating QCD at finite density
de Forcrand Philippe, Simulating QCD at finite density, in Proceedings of Science, LAT2009, 010.
Thermodynamics of the strongly interacting gluon plasma in the large-N limit
Panero Marco, Thermodynamics of the strongly interacting gluon plasma in the large-N limit, in Proceedings of Science, LAT2009, 172.

Associated projects

Number Title Start Funding scheme
137920 Supercomputer simulations of field theories 01.10.2011 Project funding (Div. I-III)
116278 Supercomputer simulations of field theories 01.10.2007 Project funding (Div. I-III)

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