• DOI:10.1088/0305-4470/34/13/308
• Corpus ID: 7553416

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

@article{Joglekar2000UnderstandingOT,
  title={Understanding of the Renormalization Program in a mathematically Rigorous Framework and an Intrinsic Mass Scale},
  author={Satish Joglekar},
  journal={arXiv: High Energy Physics - Theory},
  year={2000}
}

• S. Joglekar
• Published 14 March 2000
• Physics
• arXiv: High Energy Physics - Theory

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).