Abstract
Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N = 2 supersymmetric Pais-Uhlenbeck oscillator.
| Original language | English |
|---|---|
| Pages (from-to) | 95-114 |
| Number of pages | 20 |
| Journal | Nuclear Physics B |
| Volume | 902 |
| DOIs | |
| Publication status | Published - 1 Jan 2016 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
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An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator. / Masterov, Ivan.
In: Nuclear Physics B, Vol. 902, 01.01.2016, p. 95-114.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator
AU - Masterov, Ivan
PY - 2016/1/1
Y1 - 2016/1/1
N2 - Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N = 2 supersymmetric Pais-Uhlenbeck oscillator.
AB - Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N = 2 supersymmetric Pais-Uhlenbeck oscillator.
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U2 - 10.1016/j.nuclphysb.2015.11.011
DO - 10.1016/j.nuclphysb.2015.11.011
M3 - Article
VL - 902
SP - 95
EP - 114
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
ER -