The Chern-Simons ten-dimensional manifestly supersymmetric non-Abelian gauge theory is presented by performing the second quantization of the superparticle theory. The equation of motion is F = (d + A) 2 = 0, where d is the nilpo-tent fermionic BRST operator of the first quantized theory and A is the anti-commuting connection for the gauge group. This equation can be derived as the condition of...

A strict proof of equivalence between DuÆn-Kemmer-Petiau (DKP) and Klein-Gordon (KG) theories is presented for physical S-matrix elements in the case of charged scalar particles interacting in minimal way with an external or quantized electromagnetic eld. First, Hamiltonian canonical approach to DKP theory is developed in matrix form. The theory is then quantized through the construction of the...

IV. Quantum anomalous Hall effect in a T -violating topological insulator model 10 A. 1d model 10 B. 2d model 12 C. Quantized Hall conductivity of the 2d bulk system topological invariant 13 1. Bulk eigen-states 13 2. Coupling to an external constant electric field Adiabatic eigen-states 14 3. Time-dependent perturbation theory based on adiabatic eigen-states 14 4. Adiabatic current 15 5. Hall ...

The Skyrme model is a classical field theory which models the strong interaction between atomic nuclei. It has to be quantized in order to compare it to nuclear physics. When the Skyrme model is semi-classically quantized it is important to take the Finkelstein-Rubinstein constraints into account. The aim of this paper is to show how to calculate these FR constraints directly from the rational ...

Classical nonlocal field models consisting of probability densities over functions defined everywhere on Minkowski space are constructed, using functional methods. These models are equivalent to states of the quantized real Klein-Gordon field in the sense that the marginal probability density over real functions defined everywhere on a 3dimensional hyperplane S, at all times and for all Lorentz...

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 + ...