The pion mass in finite volume
By Gilberto Colangelo, S. Durr. 2003
147 citations recorded by the source corpus.
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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/8fa07fbacd201473a0f4d88383c56ec3cf44cc60
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
- Christian Hoelbling
- Zoltán Fodor
- C. Fischer
- Markus Q. Huber
- Sándor D. Katz
- Kálmán K. Szabó
- B. Schenke
Citations in the corpus
- FLAG Review 2019 (2019, unknown): “Colangelo 03 [403] 86.”
- Light Hadron Masses from Lattice QCD (2012, background): “33 for the scattering amplitudes, (Colangelo and Durr, 2004; Colangelo et al., 2005) have combined the two approaches mentioned above for the case of pseudoscalar mesons.”