On the uniqueness of the smooth zero mass limit for invariant amplitudes
β Scribed by B.H Kellett
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 959 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
β¦ Synopsis
The behavior of the invariant amplitudes for processes involving massive vector mesons is investigated in the limit as the mass goes to zero. The constraints of gauge invariance impose a definite structure on the amplitudes at k" = 0, and the question of the uniqueness of this structure is examined. It is shown that if the limit is smooth, the consequent relations between the massive and massless helicity amplitudes are unique, provided only that any additional dynamical assumptions are made consistently. Some of the implications of this result are discussed, with particular reference to the unambiguous covariant formulation of vector meson dominance for scattering amplitudes.
π SIMILAR VOLUMES
We study a rate-type viscoelastic system proposed in I. Suliciu Int. J. Engng. Ε½ . . Sci. 28 1990 , 827α841 , which is a 3 = 3 hyperbolic system with relaxation. As the relaxation time tends to zero, this system converges to the well-known p-system formally. In the case that the solutions of the p-s
A model hierarchy of hydrodynamic and quasi-hydrodynamic equations for plasmas consisting of electrons and ions is presented. The various model equations are obtained from the transient Euler-Poisson system for electrons and ions in the zero-electron-mass limit and/or in the zero-relaxation-time lim
Let R be a local perturbation of the n-dimensional domain R, = R"x (0, n). In a previous papers we have introduced the notion of an admissible standing wave. We shall prove that the principle of limiting absorption holds for the Dirichlet problem of the reduced wave equation in R at o t 0 if R does