Prescribed elliptical problems, without symmetry in the RN and in unlimited domain...
Poincaré-Hopf type theorems for vector fields and 1-forms on singular varieties
Growth and characterization of lead-free piezoelectric single crystals
Full text | |
Author(s): |
Vassilevich, Dmitri
Total Authors: 1
|
Document type: | Journal article |
Source: | Journal of High Energy Physics; v. N/A, n. 7, p. 13-pg., 2018-07-16. |
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 eta invariant on the boundary (which de fines the parity anomaly). We show that the APS index theorem holds for con figurations with domain walls that are de fined as surfaces where background gauge fields have discontinuities. (AU) | |
FAPESP's process: | 17/50294-1 - Quantum field theory in Dirac materials |
Grantee: | Dmitry Vasilevich |
Support Opportunities: | Regular Research Grants |
FAPESP's process: | 16/03319-6 - Non perturbative methods in quantum theory and QFT and their application to actual physical problems |
Grantee: | Dmitri Maximovitch Guitman |
Support Opportunities: | Research Projects - Thematic Grants |