Vector Affine Quantization Can Create Valid Quantum Field Theories
Published: 1 January 2022
Journal of High Energy Physics, Gravitation and Cosmology , Volume 08, pp 237-242; https://doi.org/10.4236/jhepgc.2022.81017
Abstract: Affine quantization, a parallel procedure to canonical quantization, needs to use its principal quantum operators, specifically D = (PQ+QP)/2 and Q ≠ 0, to represent appropriate kinetic factors, such as P2, which involves only one canonical quantum operator. The need for this requirement stems from path integral quantizations of selected problems that affine quantization can solve but canonical quantization fails to solve. This task is resolved for simple examples, as well as examples that involve scalar, and vector, quantum field theories.
Keywords: Affine Quantization / Vector Field Models / Flexibility of the Dilation Variable
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