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On Renormalization in Quantum Field Theory and the Structure of Space-Time

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Philosophy, Mathematics and Modern Physics

Abstract

Physics research is a more dynamical process than it may appear from the textbook descriptions of various physical theories or from a posteriori foundational analyses in the frame of the theory of science. Insights in the research process itself may give hints about the building up of meaning related to the various theoretical constructions and hence may help identify the constructive component in the semantics of physical theories. The discussion presented here is not an analysis in the field of the theory of science, nor a contribution to the history of physics and surely not a theoretical physics study — but is an essay, a trial to circumscribe a certain moment in the evolution of the ideas associated with the concepts of space and time in modern physics. For this, besides briefly describing the physical problems involved, we shall also try to follow the views of physicists concerned with these questions.

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References

  • Audretsch, J. and Lämmerzahl, C.(1991), J. of Math. Physics 32, 8, 2099

    Article  ADS  MATH  Google Scholar 

  • Dirac, P. A. M. (1963), The evolution of the physicist’s picture of nature, Scientific American, May 1965

    Google Scholar 

  • Dosch, H. G. (1991): Renormalized Quantum Field Theory and Cassirer’s Epistemological System, in Proceedings of the 2nd Philosophy-and-Physics-Workshop, Phil. Nat. 28, 1

    Google Scholar 

  • Dreitlein, J. (1993), Found, of Physics 23, 6, 923

    Article  ADS  Google Scholar 

  • Ehlers, J. (1988), Einfürung der Raum-Zeit-Struktur mittels Lichtstrahlen und Teilchen, in Philosophie und Physik der Raum-Zeit, J. Audretsch und K. Mainzer Eds., BI-Wissenschaft-Verlag

    Google Scholar 

  • Faraday, Michael, Article 3277 in “Experimental researches in electricity”

    Google Scholar 

  • Feynman, Richard (1986): The Character of Physical Law; MIT Press, London

    Google Scholar 

  • Inhetven, R. (1993), Empirie und a priori, Report Nr. 3/93, ZIF, Bielefeld

    Google Scholar 

  • Itzykson, C. and Drouffe, J.-M. (1989), Statistical Field Theory, Cambridge University Press

    Google Scholar 

  • Kuhn, T. S. (1962): The Structure of Scientific Revolutions, University of Chicago Press, Chicago

    Google Scholar 

  • Kuhn, T. S. (1987): Black-Body Theory and the Quantum Discontinuity, University of Chicago Press, Chicago

    Google Scholar 

  • Langacker, P. (1981): Grand Unified Theories and Proton Decay, Physics Reports 72, No.4, 185–385

    Article  ADS  Google Scholar 

  • Leibniz, G. W. (1982) Specimen Dynamicum, Felix Meiner Verlag, 13

    Google Scholar 

  • Leibniz, G.W. (1960): Schreiben an Foucher, Philos. Schriften (Gerhardt), I, 416

    Google Scholar 

  • Les Houches (1976): Methods in Field Theory, Balian, R., and Zinn-Justin, J. eds..

    Google Scholar 

  • North-Holland McCoy, B. M. and Wu, Tai Tsun (1973), The Two-Dimensional Ising Model, Harvard University Press

    Google Scholar 

  • Müller (1990): Lokale Quantenfeldtheorie und Kontinuumlimes, in Proceedings of the 1st Philosophy-and-Physics-Workshop, Phil. Nat. 27, 1

    Google Scholar 

  • Pati, J. C. (1991): Grand Unification in a Broader Perspective, in Proceedings of the A. D. Sakharov Int. Conf. on Physics, Moscow

    Google Scholar 

  • QCD-TARO Collaboration (1993), QCD on the massively parallel computer AP1000, in Proceeding of Conference “Physics on highly parallel computers”, Jülich

    Google Scholar 

  • ‘t Hooft, G. (1984): Quantum field theory for elementary particles, in Higher Energy Physics, Physics Reports, 104, Nos. 2–4, 129–142

    Google Scholar 

  • Ukawa, A. (1993), Nucl. Phys. B (Proc. Suppl.) 30, 3

    Article  ADS  Google Scholar 

  • Weinberg, Steven (1980): Reviews of Modern Physics, Vol. 52, No. 3

    Google Scholar 

    Google Scholar 

  • Wheeler, J.A. (1984) Harbingers of a coming third era of physics, Higher Energy Physics, Physics Reports, 104, Nos. 2–4.

    Google Scholar 

  • Wilson, Kenneth G. (1983), Rev. Mod. Phys., Vol. 55, No. 3

    Google Scholar 

    Google Scholar 

  • Zimmermann, W. (1991), Physikalische Blätter, 47, 605

    Google Scholar 

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© 1994 Springer-Verlag Berlin Heidelberg

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Stamatescu, IO. (1994). On Renormalization in Quantum Field Theory and the Structure of Space-Time. In: Rudolph, E., Stamatescu, IO. (eds) Philosophy, Mathematics and Modern Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78808-6_5

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  • DOI: https://doi.org/10.1007/978-3-642-78808-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78810-9

  • Online ISBN: 978-3-642-78808-6

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