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HandWiki. Regularization. Encyclopedia. Available online: https://encyclopedia.pub/entry/31718 (accessed on 23 September 2026).
HandWiki. Regularization. Encyclopedia. Available at: https://encyclopedia.pub/entry/31718. Accessed September 23, 2026.
HandWiki. "Regularization" Encyclopedia, https://encyclopedia.pub/entry/31718 (accessed September 23, 2026).
HandWiki. (2022, October 28). Regularization. In Encyclopedia. https://encyclopedia.pub/entry/31718
HandWiki. "Regularization." Encyclopedia. Web. 28 October, 2022.
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In physics, especially quantum field theory, regularization is a method of modifying observables which have singularities in order to make them finite by the introduction of a suitable parameter called the regulator. The regulator, also known as a "cutoff", models our lack of knowledge about physics at unobserved scales (e.g. scales of small size or large energy levels). It compensates for (and requires) the possibility that "new physics" may be discovered at those scales which the present theory is unable to model, while enabling the current theory to give accurate predictions as an "effective theory" within its intended scale of use. It is distinct from renormalization, another technique to control infinities without assuming new physics, by adjusting for self-interaction feedback. Regularization was for many decades controversial even amongst its inventors, as it combines physical and epistemological claims into the same equations. However, it is now well understood and has proven to yield useful, accurate predictions.
renormalization
regularization
model
References
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- Scharf, G.: Finite Quantum Electrodynamics: The Causal Approach, Springer 1995.
- Cao, Tian Yu; Schweber, Silvan S. (1993). "The conceptual foundations and the philosophical aspects of renormalization theory". Synthese 97 (1): 33–108. doi:10.1007/bf01255832. ISSN 0039-7857. https://www.researchgate.net/publication/225936036.
- L. M.Brown, editor, Renormalization (Springer-Verlag, New York 1993).
- S. Weinberg (1995). The Quantum Theory of Fields. 1. Cambridge University Press. Sec. 1.3 and Ch.9.
- F. Villars (1960). "Regularization and Non-Singular Interactions in Quantum Field Theory". Theoretical Physics in the Twentieth Century. New York: Interscience Publishers. pp. 78–106.
- Pauli, W.; Villars, F. (1949-07-01). "On the Invariant Regularization in Relativistic Quantum Theory". Reviews of Modern Physics 21 (3): 434–444. doi:10.1103/revmodphys.21.434. ISSN 0034-6861. Bibcode: 1949RvMP...21..434P. https://dx.doi.org/10.1103%2Frevmodphys.21.434
- P.A.M. Dirac (May 1963). "The Evolution of the Physicist's Picture of Nature". Scientific American 208 (5): 45–53. doi:10.1038/scientificamerican0563-45. Bibcode: 1963SciAm.208e..45D. https://dx.doi.org/10.1038%2Fscientificamerican0563-45
- P.A.M. Dirac (1990). "Methods in theoretical physics". in A. Salam. Unification of Fundamental Forces. Cambridge University Press. pp. 125–143. https://archive.org/details/unificationfunda00sala.
- Isham, C. J.; Salam, Abdus; Strathdee, J. (1971-04-15). "Infinity Suppression in Gravity-Modified Quantum Electrodynamics". Physical Review D 3 (8): 1805–1817. doi:10.1103/physrevd.3.1805. ISSN 0556-2821. Bibcode: 1971PhRvD...3.1805I. https://dx.doi.org/10.1103%2Fphysrevd.3.1805
- Isham, C. J.; Salam, Abdus; Strathdee, J. (1972-05-15). "Infinity Suppression in Gravity-Modified Electrodynamics. II". Physical Review D 5 (10): 2548–2565. doi:10.1103/physrevd.5.2548. ISSN 0556-2821. Bibcode: 1972PhRvD...5.2548I. https://dx.doi.org/10.1103%2Fphysrevd.5.2548
- G. ’t Hooft, In Search of the Ultimate Building Blocks (Cambridge University Press, Cambridge 1997).
- R. P. Feynman, R. B. Leighton and M. Sands: The Feynman Lectures on Physics, Vol. II (Addison-Wesley, Reading, Mass., 1965), Sec.12–7.
- W. Heisenberg (1938). "Uber die in der Théorie der Elementarteilchen auftretende universelle Lange". Annalen der Physik 32 (1): 20–33. doi:10.1002/andp.19384240105. Bibcode: 1938AnP...424...20H. https://dx.doi.org/10.1002%2Fandp.19384240105
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