PIRSA:16110081

Non-Relativistic Scale Anomalies and Geometry

Arav, I. (2016). Non-Relativistic Scale Anomalies and Geometry. Perimeter Institute. https://pirsa.org/16110081

Arav, Igal. Non-Relativistic Scale Anomalies and Geometry. Perimeter Institute, Nov. 22, 2016, https://pirsa.org/16110081 

          @misc{ pirsa_PIRSA:16110081,
            doi = {10.48660/16110081},
            url = {https://pirsa.org/16110081},
            author = {Arav, Igal},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Non-Relativistic Scale Anomalies and Geometry},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {nov},
            note = {PIRSA:16110081 see, \url{https://pirsa.org}}
          }

Igal Arav Tel Aviv University

Talk number PIRSA:16110081
DOI 10.48660/16110081
Collection
Talk Type Scientific Series
Subject

Abstract

I will discuss the coupling of non-relativistic field theories to curved spacetime, and develop a framework for analyzing the possible structure of non-relativistic (Lifshitz) scale anomalies using a cohomological formulation of the Wess-Zumino consistency condition. I will compare between cases with or without Galilean boost symmetry, and between cases with or without an equal time foliation of spacetime. In 2+1 dimensions with a dynamical critical exponent of z=2, the absence of a foliation structure allows for an A-type anomaly in the Galilean case, but also introduces the possibility of an infinite set of B-type anomalies.

I will also derive Ward identities for flat space correlation functions in Lifshitz field theories, and develop a method for calculating Lifshitz anomaly coefficients from these correlation functions using split dimensional regularization.