Ghost free boson-fermion co-existence system

Rampei Kimura, Yuki Sakakihara, Masahide Yamaguchi

Research output: Contribution to journalArticlepeer-review


We study co-existence system of both bosonic and fermionic degrees of freedom. Even if Lagrangian does not include higher derivatives, fermionic ghosts exist. For Lagrangian with up to first derivatives, we find the fermionic ghost-free condition in Hamiltonian analysis, which is found to be the same with requiring that the equations of motion of fermions are first-order in Lagrangian formulation. When fermionic degrees of freedom are present, 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 evolutionof system.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Apr 10
Externally publishedYes

ASJC Scopus subject areas

  • General

Fingerprint Dive into the research topics of 'Ghost free boson-fermion co-existence system'. Together they form a unique fingerprint.

Cite this