Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric

John L. Challifour

Annales de l'I.H.P. Physique théorique (1985)

  • Volume: 42, Issue: 1, page 1-15
  • ISSN: 0246-0211

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Challifour, John L.. "Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric." Annales de l'I.H.P. Physique théorique 42.1 (1985): 1-15. <http://eudml.org/doc/76272>.

@article{Challifour1985,
author = {Challifour, John L.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {lattice Hamiltonian; Yang-Mills problem; Krein indefinite metric; non- abelian quantum gauge theory; self-adjointness; Feynman-Kac integral; Kato inequality},
language = {eng},
number = {1},
pages = {1-15},
publisher = {Gauthier-Villars},
title = {Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric},
url = {http://eudml.org/doc/76272},
volume = {42},
year = {1985},
}

TY - JOUR
AU - Challifour, John L.
TI - Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric
JO - Annales de l'I.H.P. Physique théorique
PY - 1985
PB - Gauthier-Villars
VL - 42
IS - 1
SP - 1
EP - 15
LA - eng
KW - lattice Hamiltonian; Yang-Mills problem; Krein indefinite metric; non- abelian quantum gauge theory; self-adjointness; Feynman-Kac integral; Kato inequality
UR - http://eudml.org/doc/76272
ER -

References

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  1. [1] J. Bognár, Indefinite Inner Product Spaces, Springer-Vérlag, New York-Heidelberg-Berlin, 1974. Zbl0286.46028MR467261
  2. [2] T. Balaban, VII International Congress on Mathematical Physics, University of Colorado, Boulder, Colorado, August 1983. 
  3. [3] J.L. Challifour, Ann. Phys. (N. Y.), t. 136, 1981, p. 317-339. Zbl0501.28008MR641895
  4. [4] A. Devinatz, J. Functional Analysis, t. 32, 1979, p. 312-335. Zbl0412.35042MR538858
  5. [5] H. Hess, R. Schrader and D.A. Uhlenbrock, Duke Math. Journal, t. 44, 1977, p. 893-904. Zbl0379.47028MR458243
  6. [6] N. Ikeda and S. Watanabe, Stochastic Differential Equations and Diffusion Processes, North-Holland, Kodansha, Amsterdam-Oxford-New York, Tokyo, 1981. Zbl0495.60005MR637061
  7. [7] A.M. Jaffe, O.E. Lanford and A.S. Wightman, Commun. Math. Physics, t. 15, 1969, p. 47-68. MR253682
  8. [8] R.S. Phillips, On Dissipative Operators, Lecture Series in Differential Equations, Vol. 2, ed. A. K. Aziz, Van Nostrand Mathematical Studies, n° 19, 1969, p. 65-113. Zbl0181.15301
  9. [9] M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 4, Academic Press, New York-San Francisco-London, 1978. Zbl0401.47001
  10. [10] K.G. Wilson, Phys. Rev. D., t. 10, 1974, p. 2445-2459. 
  11. [11] C.N. Yang and R.L. Mills, Phys. Rev., t. 96, 1954, p. 191-195. 

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