- #1
Ace10
- 17
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Hi all,
my question is rather a simple one and regards conformal transformations. On "Applied CFT" by P.Ginsparg, http://arxiv.org/pdf/hep-th/9108028.pdf , on page 10, gives the transformation rule of a quasi primary field and relates the exponent of 1.12 to the one of 1.10. My first question is how can I obtain 1.10 and secondly, how the first equation of 1.11 is related to the one of 1.12..
I know that under dilatations: x'→λx , but how can I write this for a field? It has to do with the Jacobian 1.10? Is this somehow related to the volume element? (I see the determinant of the metric in the denominator and I think that is related to the volume element but I'm not sure..)
Thank you very much in advance for your help.
my question is rather a simple one and regards conformal transformations. On "Applied CFT" by P.Ginsparg, http://arxiv.org/pdf/hep-th/9108028.pdf , on page 10, gives the transformation rule of a quasi primary field and relates the exponent of 1.12 to the one of 1.10. My first question is how can I obtain 1.10 and secondly, how the first equation of 1.11 is related to the one of 1.12..
I know that under dilatations: x'→λx , but how can I write this for a field? It has to do with the Jacobian 1.10? Is this somehow related to the volume element? (I see the determinant of the metric in the denominator and I think that is related to the volume element but I'm not sure..)
Thank you very much in advance for your help.