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Dilatation and Dimensional Transformations

Antonio Aurilia and Yasushi Takahashi

Hiroomi Umezawa

  • Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada

  • Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201

Phys. Rev. D 5, 851 – Published 15 February, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.851

Abstract

The effect of a field redefinition on the dilatation transformation is considered. It is proposed that the generator of the dilatation transformation is modified if the divergence of the dilatation current can be expressed in the form of the divergence of a local current as a consequence of field equations. The notion of the dimensional transformation is introduced to generalize the case when the dilatation current does not satisfy the above condition. The dimensional transformation is worked out in detail in the case of a massive neutral scalar field.

Comments & Replies

Comment on the Breakdown of Dilatation Invariance

Antonio Aurilia and Yasushi Takahashi
Phys. Rev. D 6, 2294 (1972)

References (7)

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  2. Y. Takahashi, Proc. Roy. Irish Acad. 71A, 1 (1971)
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  7. J. Katz, Nuovo Cimento 3A, 263 (1971)

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