منابع مشابه
Finite volume effects for the pion mass at two loops
We evaluate the pion mass in finite volume to two loops within Chiral Perturbation Theory. The results are compared with a recently proposed extension of the asymptotic formula of Lüscher. We find that contributions, which were neglected in the latter, are numerically very small at the two–loop level and conclude that for MπL & 2, L ≥ 2fm the finite volume effects in the meson sector are analyt...
متن کاملThe pion mass in finite volume
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 Lüscher 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 f...
متن کاملTwisted mass lattice QCD
I review the theoretical foundations, properties as well as the simulation results obtained so far of a variant of the Wilson lattice QCD formulation: Wilson twisted mass lattice QCD. Emphasis is put on the discretization errors and on the effects of these discretization errors on the phase structure for Wilson-like fermions in the chiral limit. The possibility to use in lattice simulations dif...
متن کاملTwisted mass Lattice QCD
In this contribution I review lattice formulations based on so-called twisted mass (tm) Wilson quarks, focusing on the general properties and problems that in my opinion are most relevant for on-going studies and applications to physics . The simplest of these formulations, which corresponds to QCD with one mass degenerate quark doublet, was introduced in ref. [1] as a way to get rid of the spu...
متن کاملFlavour Breaking Effects of Wilson twisted mass fermions
We study the flavour breaking effects appearing in the Wilson twisted mass formulation of lattice QCD. In this quenched study, we focus on the mass splitting between the neutral and the charged pion, determining the neutral pion mass with a stochastic noise method to evaluate the disconnected contributions. We find that these disconnected contributions are significant. Using the Osterwalder-Sei...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2010
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.82.034502