Higher-Derivative Two-Dimensional Massive Fermion Theories

Details Higher-Derivative Two-Dimensional Massive Fermion Theories Higher-Derivative Two-Dimensional Massive Fermion Theories

1998-04-22

arxiv.org/abs/hep-th/9804148v1

Int.J.Mod.Phys. A15 (2000) 2237-2254

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Latex

Scientific paper

10.1142/S0217751X00000926

We consider the canonical quantization of a generalized two-dimensional massive fermion theory containing higher odd-order derivatives. The requirements of Lorentz invariance, hermiticity of the Hamiltonian and absence of tachyon excitations suffice to fix the mass term, which contains a derivative coupling. We show that the basic quantum excitations of a higher-derivative theory of order 2N+1 consist of a physical usual massive fermion, quantized with positive metric, plus 2N unphysical massless fermions, quantized with opposite metrics. The positive metric Hilbert subspace, which is isomorphic to the space of states of a massive free fermion theory, is selected by a subsidiary-like condition. Employing the standard bosonization scheme, the equivalent boson theory is derived. The results obtained are used as a guideline to discuss the solution of a theory including a current-current interaction.

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