QED on a lattice : I. Infrared asymptotic freedom for bounded fields

J. Dimock

Annales de l'I.H.P. Physique théorique (1988)

  • Volume: 48, Issue: 4, page 355-386
  • ISSN: 0246-0211

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Dimock, J.. "QED on a lattice : I. Infrared asymptotic freedom for bounded fields." Annales de l'I.H.P. Physique théorique 48.4 (1988): 355-386. <http://eudml.org/doc/76406>.

@article{Dimock1988,
author = {Dimock, J.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Euclidean quantum electrodynamics; fermions; photon interaction; renormalization group},
language = {eng},
number = {4},
pages = {355-386},
publisher = {Gauthier-Villars},
title = {QED on a lattice : I. Infrared asymptotic freedom for bounded fields},
url = {http://eudml.org/doc/76406},
volume = {48},
year = {1988},
}

TY - JOUR
AU - Dimock, J.
TI - QED on a lattice : I. Infrared asymptotic freedom for bounded fields
JO - Annales de l'I.H.P. Physique théorique
PY - 1988
PB - Gauthier-Villars
VL - 48
IS - 4
SP - 355
EP - 386
LA - eng
KW - Euclidean quantum electrodynamics; fermions; photon interaction; renormalization group
UR - http://eudml.org/doc/76406
ER -

References

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  1. [1] T. Balaban, Propagators and renormalization transformations for lattice gauge theories. I: Commun. Math. Phys., t. 95, p. 17-40, II: Commun. Math. Phys., t. 95, 1984, p. 41-51. Zbl0579.35070MR757052
  2. [2] T. Balaban, Ultraviolet stability of three-dimensional lattice pure gauge field theories. Commun. Math. Phys., t. 102, 1985, p. 255-276. Zbl0595.58047MR820575
  3. [3] T. Balaban, Renormalization group approach to lattice gauge field theories. Commun. Math. Phys., t. 109, 1987, p. 249-301. Zbl0611.53080MR880416
  4. [4] T. Balaban and A. Jaffe, Constructive Gauge Theory, in Fundamental Problems of Gauge Field Theory. G. Velo and A. Wightman, Eds., New York, Plenum, 1986. MR878764
  5. [5] T. Balaban, J. Imbrie and A. Jaffe, Renormalization of the Higgs model: minimizers, propagators, and the stability of mean field theory. Commun. Math. Phys., t. 97, 1985, p. 294-329. Zbl1223.81136MR782971
  6. [6] D. Brydges, A short course on cluster expansions, in Critical Phenomena, Random Systems, Gauge Theories, K. Osterwalder and R. Stora, Eds., Amsterdam, North Holland, 1986. Zbl0659.60136MR880525
  7. [7] J. Dimock, Infrared asymptotic freedom for the pseudoscalar Yukawa Model at the critical point. Commun. Math. Phys., t. 109, 1987, p. 379-395. MR882806
  8. [8] P. Federbush, A phase cell approach to Yang Mills Theory, IV: The choice of variables. Commun. Math. Phys., t. 114, 1988, p. 317-343. MR928229
  9. [9] K. Gawedski and A. Kupiainen, Renormalization group study of a critical lattice model. Commun. Math. Phys., t. 82, 1981, p. 407-433. MR641771
  10. [10] K. Gawedski and A. Kupiainen, Block spin renormalization group for dipole gas and (∇φ)4. Annals of Physics, t. 147, 1983, p. 198-243. MR707525
  11. [11] K. Gawedski and A. Kupiainen, Massless lattice (φ4)4 theory: rigorous control of a renormalizable asymptotically free model. Commun. Math. Phys., t. 99, 1985, p. 197-252. MR790736
  12. [12] K. Gawedski and A. Kupiainen, Asymptotic freedom beyond perturbation theory, in Critical Phenomena, Random Systems, Gauge Theories. K. Osterwalder and R. Stora, Eds., Amsterdam, North Holland, 1986. Zbl0706.47039
  13. [13] E. Seiler, Gauge theories as a problem in constructive quantum field theory and statistical mechanics. Lectures Notes in Physics, t. 159, Berlin, Heidelberg, New York, Springer, 1982. MR785937

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