Condensed Matter Seminar | Philip Phillips, UIUC | "Anomalous Dimensions for Conserved Currents and Extra Dimensions in the Strange Metal?" | Jadwin PCTS Seminar Room 407

Mon, Apr 16, 2018, 1:15 pm
PCTS Seminar Room 407

Abstract:  It is well known that conserved quantities cannot have anomalous dimensions.  However, a recent proposal for the ubiquitous strange metal phase in the cuprates argues just the opposite.  Namely,  all of the properties of such `strange metals' can be understood if the current has an anomalous dimension.   My talk will focus on trying to understand this claim. To demystify this claim, I will first show that even in the standard formulation of gauge theories, there is a loop-hole in Noether's theorems which has remained `almost' (Noether was aware of it) un-noticed until now, that can allow, in principle, for the current to have any allowable dimension.  However, I will show that the  only quantum theories to date which exhibit such odd behaviour are holographic models that are derived from a gravity theory that lives in higher dimensions.  The corresponding boundary theory is inherently non-local as dictated by the exception to Noether's theorms.  The existence of currents having anomalous dimensions, a direct probe of the existence of extra `hidden' dimensions,  can be tested with the Aharonov-Bohm effect.  I will describe this effect and its potential impact for unlocking the secret of the strange metal in the cuprates.