Abstract
We discuss how canonical Bjorken scaling can be realized in canonical field theories. It was previously shown that naive canonical manipulations lead to conflict with irreducible scale invariance, but we show here that no such inconsistencies arise provided one invokes onlyreducible scale invariance (RSI) and defines composite operators carefully from short-distance operator-product expansions (SDE). Noncanonical singularities can still arise in the current-current product under the above assumptions. Such noncanonical behaviour is excluded, however, provided that the SDE are governed by the new symmetry of field-shift invariance in addition to RSI. We discuss how these two symmetries can be implemented in models with finite field equations and canonical equal-time commutation relations for fields.
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