Recent progress on a constructive approach to QFT which is based on modular theory is reviewed and compared with the standard quantization approaches. Talk given at “Quantum Theory and Symmetries” Goslar, Germany, July

In this paper we develop a way to count zero momentum modes in front-form quantization and apply it to several such approaches: canonical light-cone quantization; Dirac light-cone quantization; reduced phase space quantization ; and Penrose quantization. We also examine which of these light-cone methods are consistent with the Atiyah-Singer index theorem.

A θ-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter θ. We solve the problem of describing the quantum action and the gauge algebra of an L-stage-reducible superfield model in terms of a BRST charge for a formal dynamical system w...

The binary phase-only filter digital watermarking embeds the phase information of the discrete Fourier transform of the image into the corresponding magnitudes for better image authentication. The paper proposed an approach of how to implement watermark embedding by quantizing the magnitude, with discussing how to regulate the quantization steps based on the frequencies of the magnitude coeffic...

A hidden gauge theory structure of quantum mechanics which is invisible in its conventional formulation is uncovered. Quantum mechanics is shown to be equivalent to a certain Yang–Mills theory with an infinite–dimensional gauge group and a nondynamical connection. It is defined over an arbitrary symplectic manifold which constitutes the phase–space of the system under consideration. The ”matter...

We show an equivalence between Dirac quantization and the reduced phase space quantization. The equivalence of the both quantization methods determines the operator ordering of the Hamiltonian. Some examples of the operator ordering are shown in simple models.

Quantized Berry phases as local order parameters in t-J models are studied. A texture pattern of the local order parameters is topologically stable due to the quantization of nonAbelian Berry phases defined by low-energy states below a spin gap, which exists in the large J/t case with a few electrons. We have confirmed that itinerant singlets in the wide class of t-J models carry the nontrivial...

We solve for the critical coupling in symmetric phase of two-dimensional $\phi^4$ field theory using Discretized Light-Cone Quantization. adopt periodic boundary conditions, neglect zero mode, and obtain a consistent with reported conformal truncation light-front quantization. find 17% dfference from quantization polynomial basis.

Uniform quantization of wavelet coefficients introduces perceptually disturbing artifacts by decreasing the visual smoothness. In this paper, the local Holder regularity is used to quantify these changes in visual smoothness. A modified uniform quantization scheme that constrains local regularity reduction is proposed. The quantizer modification is applicable to any uniform quantization scheme ...