N=1 Euler Anomaly from RGdependent metricBackground
Abstract
We consider N = 1supersymmetric gauge theories in the conformal window. By applying a suitable matter superfield and Weyltransformation the renormalisation group running of the theory is absorbed into the metric. The latter becomes a function of the Zfactor and the infrared anomalous dimension of the matter superfield. The Euler flow Δa ≡ a_{UV}  a_{IR}_{N=1} becomes equivalent to a computation of a free theory with the nontrivial dynamics coming from expanding the Euler invariant in the flow dependent metric. The result is therefore directly obtained in terms of the infrared anomalous dimension confirming an earlier result using the matching of Rcurrents.
 Publication:

European Physical Journal Web of Conferences
 Pub Date:
 March 2017
 DOI:
 10.1051/epjconf/201713710009
 arXiv:
 arXiv:1612.01151
 Bibcode:
 2017EPJWC.13710009P
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 Proceedings for Confinement and Hadron Spectroscopy 2016, 6 pages