On the triviality of higher derivative thoeries
arXiv:1110.0672 · doi:10.1016/j.physletb.2011.11.024
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.
few misprints corrected
References in corpus (5)
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Cited by in corpus (10)
- Quantum mechanics of 4-derivative theories
- Generalized Uncertainty Principle as a Consequence of the Effective Field Theory
- Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
- An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator
- Newton-Hooke type symmetry of anisotropic oscillators
- Short distance modification of the quantum virial theorem
- The odd-order Pais-Uhlenbeck oscillator
- Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
- Nonlocal dynamics and infinite non-relativistic conformal symmetries
- Quantization of a Complex Higher Order Derivative Theory using Path Integrals