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Swiss National Science Foundation (SNSF)

Wildhainweg 3P.O. Box

CH-3001 Bern

Phone +41 31 308 22 22

English title | Supercomputer simulations of field theories |
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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 |

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

Lead |
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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 |

Name | Institute |
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Publication |
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Cold quark matter |

Lattice QCD thermodynamics on the Grid |

Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential. |

The phase diagram of Yang-Mills theory with a compact extra dimension |

Looking inside neutron stars: Microscopic calculations confront observations |

Nuclear physics from lattice QCD at strong coupling. |

Nf3g6 term in the pressure of hot QCD |

Thermodynamics of the QCD plasma and the large-N limit. |

Beyond perturbation theory in extra-dimensional model building |

Constraints for the QCD phase diagram from imaginary chemical potential |

Continuous time Monte Carlo for lattice QCD in the strong coupling limit |

Dimensional reduction and the phase diagram of 5d Yang-Mills theory |

Equation of state at finite density from imaginary chemical potential |

Nuclear physics from strong coupling QCD |

Numerical properties of staggered overlap fermions |

Phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential |

Simulating QCD at finite density |

Thermodynamics of the strongly interacting gluon plasma in the large-N limit |

Number | Title | Start | Funding scheme |
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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) |

Swiss National Science Foundation (SNSF)

Wildhainweg 3P.O. Box

CH-3001 Bern

Phone +41 31 308 22 22

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