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

dc.creatorJoglekar, Satish D.
dc.date2000-03-14
dc.date2000-05-15
dc.date.accessioned2026-07-07T10:53:20Z
dc.date.available2026-07-07T10:53:20Z
dc.descriptionwe 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).
dc.description19 pages, a missing equation added,a reference added and a few typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0003104
dc.identifierhttp://arxiv.org/abs/hep-th/0003104
dc.identifierJ.Phys.A34:2765-2776,2001
dc.identifierdoi:10.1088/0305-4470/34/13/308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185447
dc.subjectHigh Energy Physics - Theory
dc.titleUnderstanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale
dc.typetext

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