In spite of its problems with interactions, the first-quantized Klein-Gordon equation is a satisfactory theory free spinless particles. Moreover, usual may be extended to describe Lorentz-violating behavior, same types that exist can in second-quantized scalar field theories. However, because construction requires restriction positive-energy modes, Hilbert space inner product and position opera...

A definition is given, in the framework of stochastic quantization, for the dynamics of a system composed of classical and quantum degrees of freedom mutually interacting. It is found that the theory breaks reflection positivity, and hence it is unphysical. The Feynman rules for the Euclidean vacuum expectation values are derived and the perturbative renormalizability of the theory is analyzed....

A four-dimensional gauge theory with anomalous fermion content can be consistently quantized, provided that at least some gauge fields are permitted to have nonvanishing masses. Such a theory is nonrenormalizable; there is a maximal value of the ultraviolet cutoff ,4. beyond which the locality of the theory breaks down. The maximal ,4 can be estimated in perturbation theory and has a qualitativ...

The quantum effect of light nuclei in materials is usually considered as lattice vibration and zero-point motion from an ab initio perspective. Here we start full-quantized particles take the muon example, considering two-body quantized system electrons within two-component density functional theory, which can calculate related wave functions directly automatically taking into account muon. We ...

Chern-Simons-Matter Lagrangian with noncompact gauge symmetry group is considered. The theory is quantized in the holomorphic gauge with a complex gauge fixing condition. The model is discussed, in which the the gauge and matter fields are accompanied by the complex conjugate counterparts. It is argued, that such a theory represents an adequate framework for the description of the quantum Hall ...

We derive the first order canonical formulation of cosmological perturbation theory in a Universe filled by a few scalar fields. This theory is quantized via well-defined Hamiltonian path integral. The propagator which describes the evolution of the initial (for instance, vacuum) state, is calculated.