Discrete spacetime symmetries, second quantization, and inner products in a non-Hermitian Dirac fermionic field theory

Autor:	Alexandre, Jean, Ellis, John, Millington, Peter
Rok vydání:	2022
Předmět:	High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics Quantum Physics
Zdroj:	Phys.Rev.D 106 (2022) 6, 065003
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.106.065003
Popis:	We extend to a non-Hermitian fermionic quantum field theory with PT symmetry our previous discussion of second quantization, discrete symmetry transformations, and inner products in a scalar field theory [arXiv:2006.06656]. For illustration, we consider a prototype model containing a single Dirac fermion with a parity-odd, anti-Hermitian mass term. In the phase of unbroken PT symmetry, this Dirac fermion model is equivalent to a Hermitian theory under a similarity transformation, with the non-Hermitian nature of the model residing only in the spinor structure, whereas the algebra of the creation and annihilation operators is just that of a Hermitian theory. Comment: 29 pages, revtex format; to match published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.11061 Zobrazit plný text záznamu View this record from Arxiv