Mikhail V. Altaisky

Quantum field theory without divergences

It is shown that loop divergences emerging in the Green functions in quantum field theory originate from correspondence of the Green functions to unmeasurable (and hence unphysical) quantities. This is because no physical quantity can be measured in a point, but in a region, the size of which is constrained by the resolution of measuring equipment. The incorporation of the resolution into the definition of quantum fields {phi}(x){yields}{phi}{sup (A)}(x) and appropriate change of Feynman rules results in finite values of the Green functions. The Euclidean {phi}{sup 4}-field theory is taken as an example.

Continuous Wavelet Transform in Quantum Field Theory

We describe the application of the continuous wavelet transform to calculation of the Green functions in quantum field theory: scalar

Entanglement in a quantum neural network based on quantum dots

\phi^4

ϕ 4-Field theory on a Lie group

theory, quantum electrodynamics, quantum chromodynamics. The method of continuous wavelet transform in quantum field theory presented in M.Altaisky Phys. Rev. D81(2010)125003 for the scalar

Towards a feasible implementation of quantum neural networks using quantum dots

\phi^4

QUANTUM HIERARCHIC MODELS FOR INFORMATION PROCESSING

theory, consists in substitution of the local fields

SCALE-DEPENDENT STOCHASTIC QUANTIZATION

\phi(x)

How to resolve overlapping Gaussian signals using wavelets

by those dependent on both the position

A remark on gauge invariance in wavelet-based quantum field theory

x

Decoherence and Entanglement Simulation in a Model of Quantum Neural Network Based on Quantum Dots

and the resolution