Weyl Anomaly Induced Current and Holography

          @misc{ pirsa_PIRSA:19080061,
            doi = {10.48660/19080061},
            url = {https://pirsa.org/19080061},
            author = {Miao, Rong-Xin},
            keywords = {Condensed Matter, Quantum Fields and Strings, Quantum Information},
            language = {en},
            title = {Weyl Anomaly Induced Current and Holography   },
            publisher = {Perimeter Institute},
            year = {2019},
            month = {aug},
            note = {PIRSA:19080061 see, \url{https://pirsa.org}}
          }
          

Abstract

We show that when an external magnetic field parallel to the boundary is applied, Weyl anomaly give rises to a new anomalous current transport near the boundary. Similar to the Casimir effect, this transport phenomena has its origin in the effect of the boundary on the quantum fluctuations of the vacuum. The near-boundary current takes universal form for general boundary quantum field theories, which are covariant, gauge invariant, unitary and renormalizable. We verify the universal law of current by studying free QFT and holographic BCFT. Finally, we discuss the so-called "divergence" problem and show that it can be resolved by the law of conservation of charge.