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Mathematical Problems in Theoretical Physics pp 3–13Cite as

Lattice instantons: What they are and why they are important

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Part of the book series: Lecture Notes in Physics ((LNP,volume 80))

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References

  1. There is much literature on lattice gauge theories, following the basic paper by K. Wilson, Phys. Rev. D10, 2245 (1974). We refer the reader to K. Osterwalder and E. Seiler, gauge field theories on a lattice, Annals of Physics (to appear) which contains an extensive bibliography. See also the contributions of E. Seiler, J. Fröhlich and F. Guerra contained here and the contribution of K. Osterwalder to the 1976 Cargése Summer School. The material in this section is based on these references, and we use the notation of Osterwalder and Seiler. A good review of the physics of lattice gauge fields in L. Kadanoff, Rev. Mod. Phys. 49, 267 (1977). See also A. A. Migdal, J.E.T.P. 69, 810, 14:57 (1975) and A. M. Polyakov, Phys. Lett. 59B, 82 (1975).

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  2. J. Glimm and A. Jaffe, Phys. Lett.66B, 67 (1977).

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  3. A. M. Polyakov, Nuclear Physics B120, 429 (1977).

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  4. D. Brydges, A rigorous approach to Debye screening in dilute classical Coulomb systems, to appear.

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  5. F. Wegner, J. of Math. Phys., 12, 2259 (1971). See also G. Gallavotti and F. Guerra, these proceedings.

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  6. J. Glimm, A. Jaffe and T. Spencer, Ann. Phys. (N.Y.), 101, 610 (1976).

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  7. J. Glimm and A. Jaffe, Instantons in a U(1) Lattice Gauge Theory, Commun. Math. Phys., to appear. See also A. M. Polyakov, Phys. Lett. 59B, 79 (1975).

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  8. J. V. José, L. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B16, 1217 (1977).

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  1. Harvard University, 02138, Cambridge, Massachusetts, USA

    Arthur Jaffe

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  1. Arthur Jaffe
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G. Dell'Antonio S. Doplicher G. Jona-Lasinio

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© 1978 Springer-Verlag

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Jaffe, A. (1978). Lattice instantons: What they are and why they are important. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_1

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  • DOI: https://doi.org/10.1007/3-540-08853-9_1

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