Work

Index theorems and domain walls

Year: 2018

Type: paratext

Abstract: The Atiyah-Patodi-Singer (APS) index theorem relates the index of a Dirac operator to an integral of the Pontryagin density in the bulk (which is equal to global chiral anomaly) and an η invariant on the boundary (which defines the parity anomaly). We show that the APS index theorem holds for configurations with domain walls that are defined as surfaces where background gauge fields have discontinuities.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep07(2018)108

Author: Dmitri Vassilevich

Institutions: National Research Tomsk State University, Universidade Federal do ABC

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Russian Foundation for Basic Research, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Tomsk State University