Analogous BMS symmetry in QED and quantum anomaly in Dirac and Weyl semimetals
Abstract
We show that the asymptotic infinite dimensional enlarged gauge symmetries constructed for QED are anomalous in Weyl semimetals. This symmetry is particularly important in particle physics for its analogy with the Bondi-Metzner-Sachs (BMS) symmetries in gravity, as well as for its connection with QED soft IR theorems. This leads to observable effects, because of the induction of a new current in the material, which carries a memory of the BMS symmetry precursor.
- Publication:
-
International Journal of Geometric Methods in Modern Physics
- Pub Date:
- 2020
- DOI:
- 10.1142/S0219887820500954
- arXiv:
- arXiv:1905.08940
- Bibcode:
- 2020IJGMM..1750095A
- Keywords:
-
- Infinite dimensional symmetries;
- BMS;
- field theory in Condensed Matter;
- 02.40.‑k;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Strongly Correlated Electrons;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 4 pages, 2 figures