Partially conserved dilatation current

Abstract Dilatationsin space-time, x μ → ϱx μ , are considered as a broken symmetry. The conjecture is advanced that the divergence of the corresponding current emphasizes low frequencies. Linked with current algebra and PCAC this provides a physical interpretation of the so-called σ terms arising in this framework. A corresponding general method to calculate these terms is outlined. Generally speaking, the σ terms turn out to be proportional to a rather small overall factor ≈ μ π / M N , but several mechanisms are pointed out by which they can nevertheless become important.

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