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Finite size effects on $M_\pi$ in QCD from Chiral Perturbation Theory

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arxiv hep-lat/0209110 v1 pith:U3KFZ2YM submitted 2002-09-12 hep-lat

G. Colangelo , S. Dürr , R. Sommer This is my paper · ORCID
classification hep-lat
keywords chiralfiniteperturbationsizetheoryapplicabilitydeterminationdiscussed
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abstract

We present a determination of the shift $M_\pi(L)-M_\pi$ due to the finite spatial box size $L$ by means of $N_f=2$ Chiral Perturbation Theory and L\"uscher's formula. The range of applicability of the chiral prediction is discussed.

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  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.

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