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## Main Question or Discussion Point

If we take the non-relativistic limit of either the K.G. field equation or the Dirac field equation(where the field obeys commutator relations),we get the Schrodinger equation.Obviously at no point does the field turn into a wavefunction---so the Schrodinger equation also is an equation for the quantum field.The field obeys microscopic causality i.e. the field at x1,t1 does not commute with the field at x2,t2(time-like separated from x1,t1).Now my question is:--if we take this into account in phenomena of the condensed matter or in many body theory,would it lead to new insights?I mean say in superconductivity would it lead to higher coherence--the field at a point x1,t1 is now causally connected with all x2,t2 at time-like separation from x1,t1?