Low-Energy Limit Theorems and Dispersion Relations
نویسندگان
چکیده
منابع مشابه
Decoupling Relations, Effective Lagrangians and Low-energy Theorems A
If QCD is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant αs and the quark masses mq exhibit discontinuities at the flavour thresholds, which are controlled by so-called decoupling constants, ζg and ζm, respectively. Adopting the modified MS (MS) scheme, we derive simple formulae which reduce the calculation of ζg and ζm to the solution of vacuum integra...
متن کاملLow Energy Constants from High Energy Theorems
New constraints on resonance saturation in chiral perturbation theory are investigated. These constraints arise because each consistent saturation scheme must map to a representation of the full QCD chiral symmetry group. The low-energy constants of chiral perturbation theory are then related by a set of mixing angles. It is shown that vector meson dominance is a consequence of the fact that na...
متن کاملDecoupling Relations to O ( α 3 s ) and their Connection to Low - Energy Theorems
If quantum chromodynamics (QCD) is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant α s and the quark masses m q exhibit discontinuities at the flavour thresholds, which are controlled by so-called decoupling constants, ζ g and ζ m , respectively. Adopting the modified MS (MS) scheme, we derive simple formulae which reduce the calculation of ζ g and ζ m t...
متن کاملDeformations of Finite Conformal Energy: Boundary Behavior and Limit Theorems
We study homeomorphisms h : X onto −→ Y between two bounded domains in Rn having finite conformal energy E[h] = ∫ X ||Dh(x) || n dx < ∞ , h ∈ W (X,Y). We consider the behavior of such mappings, including continuous extension to the closure of X and injectivity of h : X → Y. In general, passing to the weak W 1,n-limit of a sequence of homeomorphisms hj : X → Y one loses injectivity. However, if ...
متن کاملThe Low Energy Expansion for Pion-Pion Scattering and Crossing Symmetry in Dispersion Relations
We show that a suitable setting for comparison of the low-energy representation for pion-pion scattering amplitudes, with dispersive representation for these amplitudes, is provided by certain manifestly crossing symmetric dispersion relations. We begin with a discussion of fixed-t dispersion relations and discuss the origin of crossing constraints that arise in this context when we consider re...
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: Progress of Theoretical Physics
سال: 1961
ISSN: 0033-068X
DOI: 10.1143/ptp.25.780