By T. Borne, G. Lochak, H. Stumpf
Provides a brand new view of quantum box conception, an entire new interpretation of nonperturbative regularization and likelihood, and a brand new therapy of potent dynamics of quantum fields, according to algebraic illustration concept in practical areas.
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Extra resources for Nonperturbative Quantum Field Theory and the Structure of Matter (Fundamental Theories of Physics)
Sample text
Graviton 33 It seems that two solutions may be suggested: 1) The photon is an electric photon, but the spin 0 component must vanish. We can admit that if Thus the spin 0 component (C) vanishes. 92). 86) is subject to the condition This was assumed a priori by Fierz and Pauli who based their theory on a spin 2 (and not maximum spin 2) particle. De Broglie criticized this postulate as artificial. The above suggestion, based on parity, could be considered as a justification. However, it may be objected that, as was shown, the splitting of spin components is not covariant.
The total spin has the eigenvalues corresponding to l=1,0. 29), one can show that the group of equations (M) is associated with with the projections on the direction of propagation of the wave: right-circular wave, left-circular wave, small longitudinal electric wave or magnetic wave for the second photon respectively. The group (NM) is associated to l=0. In this sense, we can speak of (M) as a ‘spin 1 particle’ and of (NM) as a ‘spin 0 particle’. However, de Broglie made an important remark: Although the equations (M) and (NM) are relativistically invariant, their separation into ‘spin 1’ and ‘spin 0’ is not covariant [Brog 43], [Brog 49].
It must be stressed that all these questions — one can say ‘these difficulties’— are raised by the hypothesis If, instead of basing the theory on the hypothesis of a composite photon, we started from the theory of group representations, admitting as a postulate that we would certainly avoid such questions. 7 The Problem of a Massive Photon 21 idea to shield a theory from a physical problem by a formal condition at the expense of the more synthetic structure as we have already emphasized before.