Siamak S Gousheh, Farid Charmchi
The main purpose of this paper is to show that the renormalization program for a given system has to be consistent with the non-perturbative conditions imposed on the system. The non-perturbative conditions that we concentrate on in this paper are confined to be either the presence of non-trivial boundary conditions or non-perturbative background fields. We show that these non-perturbative conditions have profound effects on all physical aspects of the system and determine its appropriate renormalization program. In particular we prove that the free space renormalization program cannot be applied to the non-trivial cases mentioned above, where linear momentum is no longer a conserved quantity. We formulate the general renormalization program in the configuration space. The differences between these renormalization programs manifest themselves in the counterterms as well, which we shall elucidate.
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http://arxiv.org/abs/1204.1117
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