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Understanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale

Satish D. Joglekar
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Abstract

we show there exists a mathematically consistent framework in which the Renormalization Program can be understood in a natural manner. The framework does not require any violations of mathematical rigor usually associated with the Renormalization program. We use the framework of the non-local field theories [these carry a finite mass scale (Λ)]and set up a finite perturbative program. We show how this program leads to the perturbation series of the usual renormalization program [except one difference] if the series is restructured .We further show that the comparison becomes possible if there exists a finite mass scale (Λ), with certain properties, in the Quantum Field theory [which we take to be the scale present in the nonlocal theory]. We give a way to estimate the scale (Λ). We also show that the finite perturbation program differs from the usual renormalization program by a term; which we propose can also be used to put a bound on (Λ).

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Satish D. Joglekar. 2000-05-15. Understanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale. https://doi.org/10.1088/0305-4470%2F34%2F13%2F308

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