Abstract
In a previous (~) paper classical Galilean gauge theories have been formulated, and it has been shown that they are the c -+ oo limit of the relativistic ones. The motivation was to have a simple approximation in the study of the low-energy properties of relativistic non-Abelian gauge theories, in particular of the bound-state problem. Such approximation can of course be good to the extent that it retains the characteristic features of the relativistic theory. The characteristic feature of gauge theories which is relevant here is the infra-red behaviour. This is known in the Abelian case, and i~ is determined by infra-red divergences which give rise to finite corrections (2). The same behaviour is found (1) in Galilean QED. It is therefore interesting to relate Galilean quantum gauge theories to the c -+oo limit of relativistic quantum gauge theories, in a framework which allows a control of relativistic effects. This can be obtained by an expansion in inverse powers of c. Let us start by the generating functional in the Coulomb gauge (3):
Published Version
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