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Paper   IPM / Physic / 7939
School of Physics
  Title:   Scale and Conformal Invariance and Variation of the Metric
1.  J. Sadeghi
2.  A. Tofighi
3.  A. Banijamali
  Status:   Published
  Journal: Chaos, Solitons and Fractals
  Vol.:  Article in Press
  Year:  2006
  Supported by:  IPM
In this paper, authors propose taking into account the variation of the metric to study the relation between scale and conformal invariance. Since the proposed transformation is not an isometry of the flat metric, the transformed theory describes a field theory in the presence of background metric such as the dilaton background. By requiring that two field theories with and without the background are equivalent, we can define the scale or conformal invariant field theories. In this way, we can discuss whether or not the scale invariance implies the conformal invariance. This paper would have been more interesting if the program is performed in the curved space time. In this paper, however, authors stick to the flat space time, and no new result is obtained, except to pint out there scale and conformal invariance is not equivalent, in principle. Since calculation is correct, this paper may be published even though it is not so interesting.

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