| Full text | |
| Author(s): |
Ivanov, A., V
;
Kurkov, M. A.
;
Vassilevich, D. V.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Physics A-Mathematical and Theoretical; v. 55, n. 22, p. 19-pg., 2022-06-07. |
| Abstract | |
Being motivated by applications to the physics of Weyl semimetals we study spectral geometry of Dirac operator with an abelian gauge field and an axial vector field. We impose chiral bag boundary conditions with variable chiral phase theta on the fermions. We establish main properties of the spectral functions which ensure applicability of the zeta function regularization and of the usual heat kernel formulae for chiral and parity anomalies. We develop computational methods, including a perturbation expansion for the heat kernel. We show that the terms in both anomalies which include electromagnetic potential are independent of theta. (AU) | |
| 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 |