2014/02/12 by Hidenori Fukaya, Takashi Suzuki, Fukaya, Hidenori +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.48550/arxiv.1402.2722
7 pages, 1 figure. Proceedings of the 31st International Symposium on Lattice Field Theory, July 29 - August 3, 2013, Mainz, Germany
arxiv created 2014/02/12 · openalex publication_date 2014/02/12 · arxiv updated 2014/02/13 · openalex created_date 2022/03/02 · openalex updated_date 2026/07/28
We consider finite volume effects on the electro-magnetic pion form factor near the chiral limit, in the so-called ε regime. The pseudoscalar-vector-pseudoscalar three-point function is calculated in the ε expansion of chiral perturbation theory to the next-to-leading order. In the ε regime, finite volume effects are non-perturbatively large in general. However, we find a way to remove its dominant part, by inserting momenta to the correlators, and taking an appropriate ratio of them. The subleading contribution is, then, shown to be perturbatively small, and one can extract the form factor as in a similar way to that in the p regime.