Finite size effects in euclidean lattice thermodynamics for non-interacting bose and fermi systems

Engels, Jürgen; Karsch, Frithjof; Satz, Helmut

doi:10.1016/0550-3213(82)90387-x

Cited by 118 publications

(71 citation statements)

References 13 publications

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“…One simple exercise consists of calculating the pressure of a free massless boson on the lattice, and comparing it with the continuum Stefan-Boltzmann law [16]. An instructive figure can be found in Fig.…”

Section: Discussionmentioning

confidence: 99%

Continuum limit and universality of the Columbia plot

Forcrand¹,

D’Elia²

2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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Results on the thermal transition of QCD with 3 degenerate flavors, in the lower-left corner of the Columbia plot, are puzzling. The transition is expected to be first-order for massless quarks, and to remain so for a range of quark masses until it turns second-order at a critical quark mass. But this critical quark mass and resulting "pion" mass disagree violently between Wilson and staggered fermions at finite lattice spacing, and decrease sharply with the lattice spacing, for staggered fermions at least. To clarify this puzzle and eliminate potential systematic effects from rooting, we study the 4-flavor theory with staggered fermions, on lattices with 4 to 10 timeslices. Our results are qualitatively similar to the 3-flavor case, so that rooting is not an issue. However, dramatic cutoff effects are visible, even on our finest lattices. Universality implies that cutoff effects for Wilson fermions are even more dramatic. In order to obtain a first-order thermal transition in the continuum theory, extremely light quarks are needed. 34th annual International Symposium on Lattice Field Theory

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Section: Discussionmentioning

confidence: 99%

Continuum limit and universality of the Columbia plot

Forcrand¹,

D’Elia²

2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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“…It is well known that this introduces severe problems in thermodynamic calculations, which in the past made a direct determination of the physics in the continuum limit difficult. Already the thermodynamics of free Bose (gluon) or Fermi (quark) gases deviates strongly from the continuum ideal gas results when calculated on coarse Euclidean lattices [2]. This problem carries over to QCD, where bulk thermodynamic observables like energy density and pressure do rapidly come close to the non-interacting ideal gas limit above the deconfinement phase transition.…”

Section: Introductionmentioning

confidence: 95%

QCD thermodynamics with improved actions

Karsch

Petersson

Beinlich

et al. 1997

Nuclear Physics B - Proceedings Supplements

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We discuss recent advances in the calculation of thermodynamic observables using improved actions. In particular, we discuss the calculation of the equation of state of the SU (3) gauge theory, the critical temperature in units of the string tension, the surface tension and the latent heat at the deconfinement transition. We also present first results from a calculation of the equation of state for four-flavour QCD using an O(a 2 ) improved staggered fermion action and discuss possible further improvements of the staggered fermion action.

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“…We provide here a detailed analysis of mesonic spectral functions in the infinite temperature limit and discuss their cut-off dependence. This provides a basis for discussions of the cut-off dependence of spectral functions at finite temperature and is similar in spirit to studies of the cut-off dependence of the QCD equation of state which have first been performed in the ideal gas (infinite temperature) limit [1].…”

Section: Introductionmentioning

confidence: 99%

Infinite temperature limit of meson spectral functions calculated on the lattice

et al. 2003

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We analyze the cut-off dependence of mesonic spectral functions calculated at finite temperature on Euclidean lattices with finite temporal extent. In the infinite temperature limit we present analytic results for lattice spectral functions calculated with standard Wilson fermions as well as a truncated perfect action. We explicitly determine the influence of 'Wilson doublers' on the high momentum structure of the mesonic spectral functions and show that this cut-off effect is strongly suppressed when using an improved fermion action.

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Finite size effects in euclidean lattice thermodynamics for non-interacting bose and fermi systems

Cited by 118 publications

References 13 publications

Continuum limit and universality of the Columbia plot

Continuum limit and universality of the Columbia plot

QCD thermodynamics with improved actions

Infinite temperature limit of meson spectral functions calculated on the lattice

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