186,357 research outputs found

    The [beta]-function and potential at [beta]=6.0 and 6.3 in Su(3) gauge theory

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    Bowler KC, Gutbrod F, Hasenfratz P, et al. The [beta]-function and potential at [beta]=6.0 and 6.3 in Su(3) gauge theory. Physics Letters, B. 1985;163(5-6):367-370.Comparing optimized Wilson loop ratios on 16 4 and 8 4 lattices, matching predictions are obtained at [beta]=6.0 and 6.3. The static quark potential and string tension are also studied at these coupling constant values

    Improved Monte Carlo renormalization group methods

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    Hasenfratz A, Hasenfratz P, Heller U, Karsch F. Improved Monte Carlo renormalization group methods. Physics Letters, B. 1984;140(1-2):76-82.The practical application of MCRG requires the flow lines to reach the renormalized trajectory after a small number of blocking steps. It is suggested to use optimized block transformations in order to shift the fixed point and the renormalized trajectory closer to a given action. In asymptotically free theories, perturbation theory can be used to find the improved block transformations. Another MCRG method, the improved ratio method, is discussed also. The methods are tested on d=2, asymptotically free spin models

    Rotational symmetry of the SU(3) potential

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    Hasenfratz A, Hasenfratz P, Heller UM, Karsch F. Rotational symmetry of the SU(3) potential. Zeitschrift für Physik, C: Particles and Fields. 1984;25(2):191-194

    Monte Carlo renormalisation group studies of SU(3) lattice gauge theory: CERN-DESY-Edinburgh Collaboration

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    Bowler KC, Hasenfratz A, Hasenfratz P, et al. Monte Carlo renormalisation group studies of SU(3) lattice gauge theory: CERN-DESY-Edinburgh Collaboration. Nuclear Physics, B. 1985;257(2):155-172.Results are reported of Monte Carlo renormalisation group studies of the approach to asymptotic scaling in SU(3) lattice gauge theory. By comparing measurements on 8 4 and 16 4 lattices, estimates are obtained for the shift, [Delta][beta], in the fundamental plaquette coupling, [beta9, corresponding to a change of length scale by a factor of 2. The definitions of block link variables contain a free parameter whose value can be optimised to minimise the transient flow to a renormalised trajectory. Our results, at [beta] = 6.0, 6.3 and 6.6, are consistent with those obtained previously with the improved ratio method, which is also briefly discussed. In both methods simulation is performed only with the standard Wilson action. An important feature of the results is the appearance of a pronounced dip in [Delta][beta] which implies that in the presently accesible range of [beta] the asymptotic value is approached from below, and its onset is delayed

    The [beta]-function of the SU(3) Wilson action

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    Hasenfratz A, Hasenfratz P, Heller U, Karsch F. The [beta]-function of the SU(3) Wilson action. Physics Letters, B. 1984;143(1-3):193-198.The quantitative behaviour of the [beta]-function of the standard SU(3) Wilson action is studied with the help of a systematically optimized Monte Carlo Renormalization Group method

    H.-P. Hasenfratz, Religie świata starożytnego a chrześcijaństwo

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    RecenzjaHANS-PETER HASENFRATZ, RELIGIE ŚWIATA STAROŻYTNEGO A CHRZEŚCIJAŃSTWO, TŁUM. URSZULA POPRAWSKA, KRAKÓW 2006, WAM, SS. 17

    The SU(3) [beta]-function at large [beta]

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    Bowler KC, Hasenfratz A, Hasenfratz P, et al. The SU(3) [beta]-function at large [beta]. Physics Letters, B. 1986;179(4):375-378

    Chemical potential on the lattice

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    Hasenfratz P, Karsch F. Chemical potential on the lattice. Physics Letters, B. 1983;125(4):308-310.The naïve way of introducing chemical potential on the lattice leads to quadratic divergences even for free fermions. Starting from the analogy between the chemical potential and the fourth component of an abelian gauge field, a simple solution is proposed. For Wilson fermions it leads to a trivial modification of the hopping parameter of quarks propagating along the imaginary time direction

    Finite fermion density on the lattice

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    Hasenfratz P, Karsch F. Finite fermion density on the lattice. Physics Reports. 1984;103(1-4):219-223.The naïve way of introducing finite fermion density on the lattice leads to quadratic divergences even for free fermions. The problem is discussed and a simple solution is suggested in this paper

    Hans-Peter Hasenfratz, Der Tod in der Welt der Religionen, Darmstadt, Wissenschaftliche Buchgesellschaft, 2009

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    Thierry Legrand. Hans-Peter Hasenfratz, Der Tod in der Welt der Religionen, Darmstadt, Wissenschaftliche Buchgesellschaft, 2009. In: Revue d'histoire et de philosophie religieuses, 91e année n°4, Octobre-Décembre 2011. p. 604
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