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Heat kernel, spectral functions and anomalies in Weyl semimetals

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Autor(es):
Ivanov, A., V ; Kurkov, M. A. ; Vassilevich, D. V.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of Physics A-Mathematical and Theoretical; v. 55, n. 22, p. 19-pg., 2022-06-07.
Resumo

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)

Processo FAPESP: 16/03319-6 - Métodos não perturbativos em teoria quântica e em TQC e aplicações deles aos problemas de física atuais
Beneficiário:Dmitri Maximovitch Guitman
Modalidade de apoio: Auxílio à Pesquisa - Temático