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Volume behaviour of quark condensate, pion mass and decay constant from Dyson-Schwinger equations

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arxiv 0912.3686 v2 pith:BBBK7HU3 submitted 2009-12-18 hep-ph hep-lat

classification hep-phhep-lat
keywords pionquarkeffectsvolumebethe-salpetercondensateconstantdecay
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We solve the coupled system of Dyson-Schwinger and Bethe-Salpeter equations for the quark propagator and the pion Bethe-Salpeter amplitude on a finite volume. To this end we use a truncation scheme that includes pion cloud effects in the quark propagator and light mesons. We study volume effects in the quark condensate, the pion mass and the pion decay constant and compare to corresponding results in other approaches. In general we find large effects for volumes below V=(1.8 fm)^4.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Finite-size effects and scaling properties of chiral and baryon-number fluctuations

    hep-ph 2025-10 conditional novelty 5.0 of 10

    In an effective chiral model retaining only the zero field mode, finite volume smooths the transition, regulates critical fluctuations, and shifts the baryon-kurtosis peak to lower collision energies.

  2. Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints

    hep-ph 2024-12 conditional novelty 4.0 of 10

    Finite-volume momentum-space constraints in a mean-field quark-meson model shift the critical endpoint significantly for L<10 fm and displace baryon fluctuation signals, with the shift direction depending on the chose...

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