Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective

Manifestly covariant canonical quantization I: the free scalar field

Classical physics is reformulated as a constrained Hamiltonian system in the history phase space. Dynamics, i.e. the Euler-Lagrange equations, play the role of first-class constraints. This allows us to apply standard methods from the theory of constrained Hamiltonian systems, e.g. Dirac brackets and cohomological methods. In analogy with BRST quantization, we quantize in the history phase spac...

Quantization with an Information-Theoretic Distortion Measure

The Canonical Distortion Measure for Vector Quantization and Function Approximation

To measure the quality of a set of vector quantization points a means of measuring the distance between a random point and its quantization is required. Common metrics such as the Hamming and Euclidean metrics, while mathematically simple, are inappropriate for comparing natural signals such as speech or images. In this paper it is shown how an environment of functions on an input space X induc...

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چکیده ندارد.

Canonical Quantization of Noncommutative Field Theory

A simple method to canonically quantize noncommutative field theories is proposed. As a result, the elementary excitations of a (2n + 1)-dimensional scalar field theory are shown to be bilocal objects living in an (n + 1)-dimensional space-time. Feynman rules for their scattering are derived canonically. They agree, upon suitable redefinitions, with the rules obtained via star-product methods. ...