# Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap

@article{Wu2002SymmetryPP,
title={Symmetry principle preserving and infinity free regularization and renormalization of quantum field theories and the mass gap},
author={Yue-Liang Wu},
journal={International Journal of Modern Physics A},
year={2002},
volume={18},
pages={5363-5419}
}
• Yue-Liang Wu
• Published 3 September 2002
• Physics
• International Journal of Modern Physics A
Through defining irreducible loop integrals (ILI's), a set of consistency conditions for the regularized (quadratically and logarithmically) divergent ILI's are obtained to maintain the generalized Ward identities of gauge invariance in non-Abelian gauge theories. The ILI's of arbitrary loop graphs can be evaluated from the corresponding Feynman loop integrals by adopting an ultraviolet (UV) divergence preserving parameter method. Overlapping UV divergences are explicitly shown to be…
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