Validity check for imaginary part of potential of a moving quarkonia in plasma with hyperscaling violating backgrounds

J. Sadeghi, S. Tahery

Published 2015-09-03Version 1

One efficient tool for studying strongly coupled field theory is AdS/CFT correspondence. In this note we apply conditions of validity of imaginary part of potential for a moving quarkonia in plasma when it has backgrounds with hyperscaling violation. Imaginary part of potential should be negative because it appears in an exponential function and should exhibit a decaying behavior. We find general constraints for Im$V_{Q \bar{Q}}$ at near horizon limit and apply them for some known cases. Finally we find appropriate spatial dimension for two interesting cases , surplus we present an exact hyperscaling violationg metric which its behavior in this context is very close to a YM theory with finite temperature.