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The pion mass in finite volume

  • theoretical physics
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Abstract.

We determine the relative pion mass shift \(M_\pi(L)/M_\pi-1\) due to the finite spatial extent L of the box by means of two-flavor chiral perturbation theory and the one-particle Lüscher formula. We use as input the expression for the infinite volume \(\pi \pi\) forward scattering amplitude up to next-to-next-to-leading order and can therefore control the convergence of the chiral series. A comparison to the full leading order chiral expression for the pion mass in finite volume allows us to check the size of subleading terms in the large-L expansion.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Bern, 3012, Bern, Switzerland

    G. Colangelo

  2. DESY Zeuthen, 15738, Zeuthen, Germany

    S. Dürr

Authors
  1. G. Colangelo
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  2. S. Dürr
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Additional information

Received: 19 November 2003, Published online: 18 February 2004

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Colangelo, G., Dürr, S. The pion mass in finite volume. Eur. Phys. J. C 33, 543–553 (2004). https://doi.org/10.1140/epjc/s2004-01593-y

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  • DOI: https://doi.org/10.1140/epjc/s2004-01593-y

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