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Renormalization and the Effective Field Theory Programme

Published online by Cambridge University Press:  28 February 2022

Don Robinson
Don Robinson*
Affiliation:
University of Toronto
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Extract

Quantum field theory (QFT) poses the following well-known problem. Calculations of values for certain quantities begin with a first-order approximation to which are added higher order corrections. In many cases, the calculation of even the very first higher order correction term yields infinite values. These infinite values are due to divergences in the theory. These divergences can be traced to their source in the standard fundamental assumptions defining QFT. No matter which version of the formalism we adopt, we are trying to incorporate into the mathematics certain fundamental physical constraints on the nature of the vacuum state, on the states that can be occupied by systems, on the comeasurability of observables, and so on. The resulting formalism contains divergences.

Type
Part X. Quantum Theory II
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1992 , Issue 1: Volume One: Contributed Papers 1992 , 1992 , pp. 393 - 403
Copyright
Copyright © 1992 by the Philosophy of Science Association

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References

Cao, T.Y. and Schweber, S. (forthcoming), “The Conceptual Foundations and Philosophical Aspects of Renormalization Theory”.Google Scholar
Georgi, H., (1989), “Effective quantum field theories”, ih The New Physics, Davies, P. (ed.). Cambridge: Cambridge University Press, pp. 446-457.Google Scholar
Hacking, I. (1983), Representing and Intervening: Introductory topics in the philoso- phy of natural science. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Pais, A. (1986), Inward Bound: of matter and forces in the physical world. New York: Oxford University Press.Google Scholar
Teller, P. (1989), “Infinite Renormalization”, Philosophy of Science 56: 238-257.CrossRefGoogle Scholar
Weingard, R. (1988), “’Virtual Particles and the Interpretation of Quantum Field Theory”, in Philosophical Foundations of Quantum Field Theory, Brown, H. and Harre, R. (eds.). Oxford: Clarendon Press, pp. 43-58.Google Scholar