The pion mass in finite volume
Abstract
We determine the relative pion mass shift Mπ(L)/Mπ-1 due to the finite spatial extent L of the box by means of two-flavor chiral perturbation theory and the one-particle L\"uscher formula. We use as input the expression for the infinite volume ππ 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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.