Some Applications of the Renormalization Group to the Scalar Field Theories

Francesco Nicolò

Recherche Coopérative sur Programme n°25 (1986)

  • Volume: 37, page 1-28

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Nicolò, Francesco. "Some Applications of the Renormalization Group to the Scalar Field Theories." Recherche Coopérative sur Programme n°25 37 (1986): 1-28. <http://eudml.org/doc/274834>.

@article{Nicolò1986,
author = {Nicolò, Francesco},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {1-28},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Some Applications of the Renormalization Group to the Scalar Field Theories},
url = {http://eudml.org/doc/274834},
volume = {37},
year = {1986},
}

TY - JOUR
AU - Nicolò, Francesco
TI - Some Applications of the Renormalization Group to the Scalar Field Theories
JO - Recherche Coopérative sur Programme n°25
PY - 1986
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 37
SP - 1
EP - 28
LA - eng
UR - http://eudml.org/doc/274834
ER -

References

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  1. [1] G. Gallavotti, F. NicolòRenormalization theory in four-dimensional scalar fields, I, Commun. Math. Phys.100, 545 (1985) MR806252
  2. G. Gallavotti, F. NicolòRenormalization theory in four-dimensional scalar fields, II, Commun. Math. Phys.101, 247 (1985) MR810492
  3. [2] G. GallavottiRenormalization theory and ultraviolet stability for scalar fields via renormalization group methodsRev. of Modern Physics57, 471 (1985) MR789582
  4. [3] G. Felder, G. GallavottiPerturbation theory and non-renormalizable scalar fieldsCommun. Math. Phys.102, 549 (1986). Zbl0595.58048MR824091
  5. [4] G. FelderConstruction of a non-trivial planar field theory with ultra-violet stable fixed pointCommun. Math. Phys.102, 139 (1985) MR817292
  6. [5] K. Osterwalder. R. SchraderAxioms for Euclidean Green's function I, Commun. Math. Phys.31, 83 (1973) Zbl0274.46047MR329492
  7. K. Osterwalder. R. SchraderAxioms for Euclidean Green's function II, Commun. Math. Phys.42, 281 (1975) Zbl0303.46034MR376002
  8. [6] G.'t Hooft (Lectures at the International School of Subnuclear Physics, Erice, Sicily, July 1977). 
  9. [7] C. De Calan, V. RivasseauLocal existence of the Borel transform in Euclidean Φ 4 4 Commun. Math. Phys.82, 69 (1981). MR638514
  10. [8] J. Magnen, F. Nicolò, V. Rivasseau, R. SeneorA Lipatov bound for Φ 4 4 euclidean field theory Preprint Ecole Polytechnique n° A694.11.85 Zbl1223.81138MR875302
  11. [9] J. PolchinskiRenormalization and effective LagrangiansNucl. Phys. B231, 269. 

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