On the triviality of higher derivative thoeries
K. Andrzejewski, J. Gonera, P. Machalski, K. Bolonek-Lason
TL;DR
This paper analyzes the meaning of BRST invariance in higher-derivative theories with degenerate frequencies, linking it to the Hamiltonian's nondiagonalizability and the selection of proper eigenvector subspaces.
Contribution
It clarifies the role of BRST symmetry in higher-derivative theories and its connection to Hamiltonian properties, providing new insights into their triviality.
Findings
BRST invariance relates to nondiagonalizability of the Hamiltonian
BRST condition singles out subspace of proper eigenvectors
Higher-derivative theories with degenerate frequencies exhibit BRST symmetry
Abstract
The higher-derivative theories with degenerate frequencies exhibit BRST symmetry (O. Rivelles, Phys. Lett. B577 (2003), 147). In the present paper meaning of BRST invariance condition is analyzed. The BRST symmetry is related to nondiagonalizability of the Hamiltonian and it is shown that BRST condition singles out the subspace spanned by proper eigenvectors of the Hamiltonian.
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