Lv. Belvedere et al., CANONICAL-TRANSFORMATIONS IN A HIGHER-DERIVATIVE FIELD-THEORY, Zeitschrift fur Physik. C, Particles and fields, 66(4), 1995, pp. 613-617
It has been suggested that the chiral symmetry can be implemented only
in classical Lagrangians containing higher covariant derivatives of o
dd order. Contrary to this belief, it is shown that one can construct
an exactly soluble two-dimensional higher-derivative fermionic quantum
field theory containing only derivatives of even order whose classica
l Lagrangian exhibits chiral-gauge invariance. The original field solu
tion is expressed in terms of usual Dirac spinors through a canonical
transformation, whose generating function allows the determination of
the new Hamiltonian. It is emphasized that the original and transforme
d Hamiltonians are different because the mapping from the old to the n
ew canonical variables depends explicitly on time. The violation of cl
uster decomposition is discussed and the general Wightman functions sa
tisfying the positive-definiteness condition are obtained.