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So with infinite number of dof, does the commutation chain breaks in a point (Like $\dot \phi=0$) ? Or it just continue producing new constraints (second class) ?
My work has a similarity with this (sciencedirect.com/science/article/pii/S0370269304010032) paper. Here the Fields/massive terms has their own number of DOF. But if we couple them together, the pseudomass term eliminates all other DOF except the two traverse DOF. Now let us consider a different coupling with other fields or a group of fields. Instead of decreasing, is it possible that it could result infinite numbers of DOF?
The fields (I am working with) have finite number of DOF of themselves separately. My work was to analyze how they react if they all interact in the same field. In this case, is it possible to have infinite number of DOF?
Actually using this identity give me the term above! I would like to vanish it somehow! Using this identity again will just take me to the previous step.
