منابع مشابه
Cottingham formula and the pion electromagnetic mass difference at finite temperature
We generalize the Cottingham formula at finite (T 6= 0) temperature by using the imaginary time formalism. The Cottingham formula gives the theoretical framework to compute the electromagnetic mass differences of the hadrons using a dispersion relation approach. It can be also used in other contexts, such as non leptonic weak decays, and its generalization to finite temperature might be useful ...
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We present numerical evidence that suggests the introduction of a non-zero pion mass might dramatically affect the structure of minimal energy Skyrmions. It appears that the shell-like Skyrmions which are the minima when the pions are massless can fail to be minimal energy bound states for particular baryon numbers, with a strong dependence upon the value of the pion mass. The effects of a pion...
متن کاملPion mass and decay constant
Independent of assumptions about the form of the quark-antiquark scattering kernel we derive the explicit relation between the pion Bethe-Salpeter amplitude, Γπ, and the quark propagator in the chiral limit; Γπ necessarily involves a non-negligible γ5γ · P term (P is the pion four-momentum). We also obtain exact expressions for the pion decay constant, fπ, and mass, both of which depend on Γπ; ...
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 کاملVolume dependence of the pion mass
Volume effects on meson masses are important for understanding the results of QCD lattice simulations, which are still limited to large meson masses and small volumes. Such finite volume effects have been studied in different approaches [2, 3, 4], mainly using chiral perturbation theory (chPT) . Since quark effects involving higher momentum scales also seem to play a role [5], we study the pion...
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ژورنال
عنوان ژورنال: Australian Journal of Physics
سال: 1998
ISSN: 0004-9506
DOI: 10.1071/p96110