Abstract
It is shown how quantum field theories, renormalizable or not, can be rendered finite by means of a residue procedure that realizes analytic regularization and contains the various regularization and renormalization prescriptions as particular cases. The origin of this techniques is discussed, some examples are analyzed and recent developments leading to an elimination of the renormalization problem are reviewed.
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Dedicated to F. Bopp on the occasion of his 60th anniversary.
Supported by the National Science Foundation and by the Deutsche Forschungsgemeinschaft.
NSF Senior Foreign Scientist. On leave from Department of Physics, University of Munich, München, Germany.
The author wishes to thank Prof. E. Pfaffelhuber for stimulating discussions. He is much indebted to the National Science Foundation and to the Deutsche Forschungsgemeinschaft for research grants.
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Güttinger, W. Analytic regularization in quantum field theory. Z. Physik 229, 329–335 (1969). https://doi.org/10.1007/BF01396258
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DOI: https://doi.org/10.1007/BF01396258