Quantum Dirac fermions in half space and their interaction with electromagnetic field

Autor:	Fialkovsky, I., Kurkov, M., Vassilevich, D.
Rok vydání:	2019
Předmět:	High Energy Physics - Theory Condensed Matter - Mesoscale and Nanoscale Physics Mathematical Physics
Zdroj:	Phys. Rev. D 100, 045026 (2019)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.100.045026
Popis:	We study the polarization tensor of a Dirac field in $(3+1)$ dimensions confined to a half space -- a problem motivated by applications to the condensed matter physics, and to Topological Insulators in particular. Although the Pauli-Villars regularization scheme has a number of advantages, like explicit gauge invariance and decoupling of heavy modes, it is not applicable on manifolds with boundaries. Here, we modify this scheme by giving an axial mass to the regulators and to the physical field. We compute the renormalized polarization tensor in coordinate representation. We discuss then the induced Chern-Simons type action on the boundary and compare it to the effective action of a $(2+1)$ dimensional Dirac fermion. Comment: 15 pages, 1 figure, slightly corrected version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.06704 Zobrazit plný text záznamu View this record from Arxiv