Lagrangian weak form

Thus the Lagrangian strong form [LSF] which is equivalent to the weak form (4.38) is given by... 

According to the method of phenomenological chiral Lagrangians (PCL s), this decay channel would originate via the intermediate D° — meson state (FIG. 2). In this case the weak interaction Lagrangian between (f) and D° mesons has the form given (Kalinovsky,1988) as... 

The evolution of the elastic-plastic structural state in time is provided a weak formulation using Hamilton s principle. It is shown that a certain class of structures called reciprocal structures has a mixed weak formulation in time involving Lagrangian and dissipation functions. The new form of the Lagrangian developed in this work involves... 

In this chapter we examine some of the problems inherent in the current-current form of the weak interaction Lagrangian, and are led to the idea of the weak force being mediated by the exchange of vector mesons. This picture too runs into diflSiculties which, however, can be alleviated in gauge-invariant theories. The latter are introduced and discussed at some length. 

We have seen that the introduction of vector bosons goes in the right direction but does not remove all the diseases of the current-current form of the weak Lagrangian. The vector boson Lagrangian generates a theory that is still not renormalizable. 

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