Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-14
J.Phys.A34:2765-2776,2001
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, a missing equation added,a reference added and a few typos corrected
Scientific paper
10.1088/0305-4470/34/13/308
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 (\Lambda)]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 (\Lambda), 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 (\Lambda). 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 (\Lambda).
No associations
LandOfFree
Understanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Understanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Understanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-459865