Ghost free systems with coexisting bosons and fermions

Rampei Kimura, Yuki Sakakihara, Masahide Yamaguchi

研究成果: Article査読

10 被引用数 (Scopus)

抄録

We study the coexistence system of both bosonic and fermionic degrees of freedom. Even if a Lagrangian does not include higher derivatives, fermionic ghosts exist. For a Lagrangian with up to first derivatives, we find the fermionic ghost free condition in Hamiltonian analysis, which is found to be the same as requiring that the equations of motion of fermions be first order in Lagrangian formulation. When fermionic degrees of freedom are present, the uniqueness of time evolution is not guaranteed a priori because of the Grassmann property. We confirm that the additional condition, which is introduced to close Hamiltonian analysis, also ensures the uniqueness of the time evolution of the system.

本文言語English
論文番号045018
ジャーナルPhysical Review D
96
4
DOI
出版ステータスPublished - 2017 8月 15
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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