Théorie de la diffusion pour le modèle P ( ϕ ) 2 en théorie des champs

Christian Gérard[1]

  • [1] Centre de Mathématiques, UMR 7640 CNRS, Ecole Polytechnique, 91128 Palaiseau Cedex, France

Séminaire Équations aux dérivées partielles (1998-1999)

  • Volume: 1998-1999, page 1-16

How to cite

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Gérard, Christian. "Théorie de la diffusion pour le modèle $P(\varphi )_{2}$ en théorie des champs." Séminaire Équations aux dérivées partielles 1998-1999 (1998-1999): 1-16. <http://eudml.org/doc/10969>.

@article{Gérard1998-1999,
affiliation = {Centre de Mathématiques, UMR 7640 CNRS, Ecole Polytechnique, 91128 Palaiseau Cedex, France},
author = {Gérard, Christian},
journal = {Séminaire Équations aux dérivées partielles},
language = {fre},
pages = {1-16},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Théorie de la diffusion pour le modèle $P(\varphi )_\{2\}$ en théorie des champs},
url = {http://eudml.org/doc/10969},
volume = {1998-1999},
year = {1998-1999},
}

TY - JOUR
AU - Gérard, Christian
TI - Théorie de la diffusion pour le modèle $P(\varphi )_{2}$ en théorie des champs
JO - Séminaire Équations aux dérivées partielles
PY - 1998-1999
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1998-1999
SP - 1
EP - 16
LA - fre
UR - http://eudml.org/doc/10969
ER -

References

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  1. Amrein, W., Boutet de Monvel, A., Georgescu, W. : C 0 -Groups, Commutator Methods and Spectral Theory of N -Body Hamiltonians, Birkhäuser, Basel-Boston-Berlin, 1996 Zbl0962.47500
  2. Dereziński, J., Gérard, C. : Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians, Rev. Math. Phys. 11 (4) (1999) p 383-450 Zbl1044.81556MR1682684
  3. Dereziński, J., Gérard, C. : Spectral and scattering theory of spacially cut-off P ( ϕ ) 2 Hamiltonians, Preprint Ecole Polytechnque, 1998. Zbl1082.81518MR1782144
  4. Glimm, J., Jaffe, A. : Boson quantum field theory models, in Mathematics of Contemporary Physics R. Streater ed. (1972) Academic Press Zbl0191.27101MR674511
  5. Glimm, J., Jaffe, A. : A λ φ 4 quantum field theory without cutoffs I, Phys. Rev. 176 (1968) 1945-1951 Zbl0177.28203MR247845
  6. Høgh-Krohn, R. : On the spectrum of the space cutoff : P ( ϕ ) : Hamiltonian in 2 space-time dimensions, Comm. Math. Phys. 21 (1971) 256-260 MR289074
  7. Nelson, E. : A quartic interaction in 2 dimensions, in Mathematical theory of elementary particles, R. Goodman, I. Segal eds, MIT Press Cambridge 1966 MR210416
  8. Rosen, L. : A λ φ 2 n field theory without cutoffs. Comm. Math. Phys. 16 1970 157–183 Zbl0187.25701MR270671
  9. Rosen, L. : The ( φ 2 n ) 2 Quantum Field Theory : Higher Order Estimates, Comm. Pure Appl. Math. 24 (1971), 417-457 MR287840
  10. S. Schweber : An Introduction to Relativistic Quantum Field Theory, Row, Peterson and Co, 1961. Zbl0111.43102MR127796
  11. Segal, I. : Construction of non linear local quantum processes I, Ann. Math. 92 (1970) 462-481 Zbl0213.40904MR272306
  12. Segal, I. : Construction of non linear local quantum processes II, Inv. Math. 14 (1971) 211-241 Zbl0221.47023MR295695
  13. Simon, B. : The P ( φ ) 2 Euclidean (Quantum) Field Theory, Princeton University Press, 1974 Zbl1175.81146MR489552
  14. Simon, B : Studying spatially cutoff ( ϕ ) 2 2 n Hamiltonians, in Statistical Mechanics and Field Theory R.N. Sen and C. Weil eds ,New York, Halsted Press, 1972 Zbl0271.47015
  15. Simon, B. : Continuum embedded eigenvalues in a spatially cutoff P ( ϕ ) 2 field theory, Proc. A.M.S. 35 (1972) 223-226. MR297265
  16. Simon, B., Høgh-Krohn, R. : Hypercontractive Semigroups and Two dimensional Self-Coupled Bose Fields, J. Funct. Anal. 9 (1972) 121-180. Zbl0241.47029MR293451

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