Bounded Hamiltonian in the Fourth-Order Extension of the Chern–Simons Theory
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The problem of constructing alternative Hamiltonian formulations in the extended Chern–Simons theory with higher derivatives is considered. It is shown that the fourth-order extended theory admits a four-parameter series of alternative Hamiltonians which can be bounded from below, even if the canonical energy of the model is unbounded from below.
Keywordstheory with higher derivatives Ostrogradski instability extended Chern–Simons theory
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