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.

# 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

Location:

PCTS Seminar Room 407

Speaker(s):

Philip Phillips

University of Illinois, Urbana Champagne