| Texto completo | |
| Autor(es): |
Fichet, Sylvain
;
Fresneda, Rodrigo
;
de Souza, Lucas
;
Vassilevich, Dmitri
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW D; v. 112, n. 5, p. 8-pg., 2025-09-11. |
| Resumo | |
Computing the vacuum expectation of a fermion number operator on a soliton background is often challenging. A recent proposal in [1] simplifies this task by considering the soliton in a bounded region and relating the eta invariant, and thus the fermion number, to a specific heat kernel coefficient and to contributions from the edge states. We test this method in a system of charged fermions living on an Abrikosov-Nielsen-Olesen vortex background. We show that the resulting eta invariant does not depend on boundary conditions (within a certain class), thereby supporting the validity of the method. Our analysis reveals a nontrivial feature for the fermionic spectrum in the vortex-induced Higgs phase. As a by-product, we also find that for a vortex living on a disk, the edge states carry a fractional charge. (AU) | |
| Processo FAPESP: | 23/11293-0 - Anomalias e fronteiras |
| Beneficiário: | Lucas de Souza |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado Direto |
| Processo FAPESP: | 21/10128-0 - Teoria quântica de campos sob a influência de condições externas |
| Beneficiário: | Dmitry Vasilevich |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |