Quantum Physics

    

Solution to Infinity Problem Based on Scattering Matrix Using Time-Evolution Operators Without Needing Renormalization

Authors: Chol Jong, Son-Il Jo, Shin-Hyok Jon

The purpose of our work is to achieve a new formulation which always ensures the convergence of the scattering matrix in such a way of preventing overlapping divergences of the scattering matrix in principle. We present a new nonperturbative representation of the scattering matrix in terms of so-called global time-evolution operator that is based on the improved Heisenberg picture. Our study demonstrates that there does not exist the infinity problem within the framework of our formulation that employs the global time-evolution operator and importantly the formulated theory satisfies all requirements of scattering. This interesting result is obtained successfully at the level of both quantum mechanics and quantum field theory.Ultimately, we draw the successful conclusion that it is possible to formulate a new scattering theory irrelevant to the infinity problem.

Comments: 9 Pages.

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Submission history

[v1] 2023-04-17 01:43:00
[v2] 2023-04-26 02:45:48
[v3] 2024-02-01 23:07:21

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