| Full text | |
| Author(s): |
Fresneda, Rodrigo
;
de Souza, Lucas
;
Vassilevich, Dmitri
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Physics Letters B; v. 844, p. 4-pg., 2023-09-10. |
| Abstract | |
We propose a relation between the & eta; invariant on a manifold with boundary, the & eta; invariants of edge states, and the & eta; invariant in an infinite volume limit. With the example of planar fermions with bag and chiral bag boundary conditions we show that this relation holds whenever edge states are sufficiently well-localized near the boundary. As a by-product we show that the spectrum of edge modes for chiral bag boundary conditions is linear but bounded. & COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3. (AU) | |
| FAPESP's process: | 22/09068-6 - Divergent sums, the zeta function and quantum field theory |
| Grantee: | Lucas de Souza |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| FAPESP's process: | 21/10128-0 - Quantum field theory under the influence of external conditions |
| Grantee: | Dmitry Vasilevich |
| Support Opportunities: | Research Projects - Thematic Grants |