Bounded Hamiltonian in the Fourth-Order Extension of the Chern–Simons Theory

Resumo

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.