Finite volume effects in chiral perturbation theory

Abstract

There has recently been an intense activity in the study of finite volume effects by means of chiral perturbation theory. In this contribution I review recent work in this field both for the epsilon-- (Mpi L \lesssim 1) and the p--regime (Mpi L \gg 1). For the latter I emphasize the importance of going beyond leading order calculations in chiral perturbation theory and the usefulness of asymptotic formulae a la L"uscher used in combination with CHPT.

arXiv commentTalk presented at Lattice2004(plenary), 7 pages, 4 figures

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Cited by in corpus (17)

• Finite volume effects for meson masses and decay constants
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Computation of the strong coupling in QCD with two dynamical flavours
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Finite volume effects for the pion mass at two loops
• The pion and proton mass in finite volume
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Finite Volume Dependence of the Quark-Antiquark Vacuum Expectation Value
• Two-loop Sunset Integrals at Finite Volume
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Modeling pion physics in the $\epsilon$-regime of two-flavor QCD using strong coupling lattice QED
• Magnetic test of chiral dynamics in QCD
• Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
• A unified formulation of one-loop tensor integrals for finite volume effects
• Two Loop Partially Quenched and Finite Volume Chiral Perturbation Theory Results
• The pion mass in finite volume to two loops
• PQChPT with Staggered Sea and Valence Ginsparg-Wilson Quarks: Vector Meson Masses