No-Recoil Approximations to Charged Scalar Meson Scattering

1956 ◽  
Vol 103 (6) ◽  
pp. 1870-1873 ◽  
Author(s):  
G. Feldman ◽  
P. T. Matthews
Keyword(s):  

We calculate all one-loop divergences for charged scalar and vector mesons interacting with each other and with the quantized gravitational field in the presence of a ϕ 4 -interaction. We show that these divergences do not cancel among themselves on or off-mass-shell. We conclude that the inclusion of other fields (scalar or vector mesons) does not help the situation and unified models of this nature have proved to be unsuccessful for solving the problem of non-renormalizability of the gravitational field.


The method of functional integration is used on the problem of obtaining the nucleon Green function including radiative corrections in charged scalar meson theory without nuclear recoil. An explicit functional integral for the solution in the presence of an external field is given, and since this cannot be evaluated explicitly a general method is proposed for an approximate evaluation. The method is illustrated by solutions for weak and strong coupling, and the structure of these solutions is discussed.


1948 ◽  
Vol 44 (2) ◽  
pp. 301-303 ◽  
Author(s):  
B. Touschek

The purpose of this note is to show that Peng's (1) method of approximation is not practicable in the case of quadrilinear interaction (i.e. Fermi's (2) original theory of β-decay), and that it does not remove the infinite self-energy of a nucleon in interaction with a charged scalar meson field. The two examples do not, however, provide a serious argument against Peng's theory, since both refer to field theories which have been abandoned for physical reasons. The principal failure of Peng's method to cope with quadrilinear interactions could even be interpreted in such a way as to mean that interactions of this sort do not exist—a statement which would be equivalent to the assumption that Fermi particles can only interact by means of a Bose field. (2n + 1) linear interaction terms must contain one Bose quantity at least, since Fermi field quantities are not observable and therefore can only enter the interaction term in bilinear form.


2007 ◽  
Vol 24 (10) ◽  
pp. 2781-2784 ◽  
Author(s):  
Li Heng-Mei ◽  
Chen Ning ◽  
Wang Zhi-Gang ◽  
Wan Shao-Long

1987 ◽  
Vol 10 (2) ◽  
pp. 405-408 ◽  
Author(s):  
G. Mohanty ◽  
U. K. Panigrahi

It is shown that for cylindrically symmetric Jordan-Ehlers spacetime, either the charged scalar meson field associated with meson rest massMor the charged perfect fluid cannot be the source for generating gravitation.


2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Tobias Felkl ◽  
Juan Herrero-García ◽  
Michael A. Schmidt

Abstract We consider the generation of neutrino masses via a singly-charged scalar singlet. Under general assumptions we identify two distinct structures for the neutrino mass matrix. This yields a constraint for the antisymmetric Yukawa coupling of the singly-charged scalar singlet to two left-handed lepton doublets, irrespective of how the breaking of lepton-number conservation is achieved. The constraint disfavours large hierarchies among the Yukawa couplings. We study the implications for the phenomenology of lepton-flavour universality, measurements of the W-boson mass, flavour violation in the charged-lepton sector and decays of the singly-charged scalar singlet. We also discuss the parameter space that can address the Cabibbo Angle Anomaly.


Author(s):  
Ricardo L. L. Vitória

Abstract We investigate rotating effects on a charged scalar field immersed in spacetime with a magnetic screw dislocation. In addition to the hard-wall potential, which we impose to satisfy a boundary condition from the rotating effect, we insert a Coulomb-type potential and the Klein–Gordon oscillator into this system, where, analytically, we obtain solutions of bound states which are influenced not only by the spacetime topology, but also by the rotating effects, as a Sagnac-type effect modified by the presence of the magnetic screw dislocation.


2012 ◽  
Vol 44 (12) ◽  
pp. 3175-3195 ◽  
Author(s):  
Anna Nakonieczna ◽  
Marek Rogatko

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