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Henderson, L.J., Belenchia, A., Castro-Ruiz, E., Budroni, C., Zych, M., Brukner, Č. and Mann, R.B. (2020) Quantum Temporal Superposition: The Case of Quantum Field Theory. Physical Review Letters, 125, Article ID: 131602.
https://doi.org/10.1103/PhysRevLett.125.131602

has been cited by the following article:

• TITLE: Quantized Field Theory of Fuzzy Space

  AUTHORS: Aleksey M. Avdeenko

  KEYWORDS: Fuzzy Sets, Fuzzy Space, Green’s Function, Regularization, Fuzzy Causality, Gravity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.10, October 28, 2021

  ABSTRACT: The proposed work handles the concept of fuzzy space as a set of real numbers with a set finite membership function. Extending standard arithmetic operations through a fuzzy space, the fuzzy Green’s function is created here with an analysis of its behavior inside and outside the light cone. The fuzzy causality principle is generalized to field models. Also, this work demonstrates the ability to use fuzzy space to regularize divergences in quantum field theory. The passage to the limit to a system of interacting particles enables the obtaining of the dissipative projection operator, represented earlier. The Liouville equation is solved here by successive approximations in the range of times much larger than the typical scale of fuzziness, by assuming the interaction as a small parameter. As well, here was applied the standard diagram technique.