Renormalization Group in Field Theories with Quantum Quenched Disorder

Vladimir Narovlansky, Ofer Aharony

Research output: Contribution to journalArticlepeer-review


We study the renormalization group flow in general quantum field theories with quenched disorder, focusing on random quantum critical points. We show that in disorder-averaged correlation functions the flow mixes local and nonlocal operators. This leads to a new critical exponent related to the disorder (as in classical disorder). We show that the time coordinate is rescaled at each renormalization group step, leading to anisotropic spacetime scaling at critical points. We write a universal formula for the dynamical scaling exponent z for weak disorder.

Original languageEnglish
Article number071601
Number of pages6
JournalPhysical review letters
Issue number7
StatePublished - 15 Aug 2018


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