@article{AIHPA_1997__66_1_109_0,
author = {Schwarz, G\"unter and \'Sniatycki, J\k{e}drzej},
title = {Gauge symmetries of an extended phase space for {Yang-Mills} and {Dirac} fields},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {109--136},
year = {1997},
publisher = {Gauthier-Villars},
volume = {66},
number = {1},
mrnumber = {1434116},
zbl = {0889.58089},
language = {en},
url = {https://www.numdam.org/item/AIHPA_1997__66_1_109_0/}
}
TY - JOUR AU - Schwarz, Günter AU - Śniatycki, Jędrzej TI - Gauge symmetries of an extended phase space for Yang-Mills and Dirac fields JO - Annales de l'I.H.P. Physique théorique PY - 1997 SP - 109 EP - 136 VL - 66 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPA_1997__66_1_109_0/ LA - en ID - AIHPA_1997__66_1_109_0 ER -
%0 Journal Article %A Schwarz, Günter %A Śniatycki, Jędrzej %T Gauge symmetries of an extended phase space for Yang-Mills and Dirac fields %J Annales de l'I.H.P. Physique théorique %D 1997 %P 109-136 %V 66 %N 1 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPA_1997__66_1_109_0/ %G en %F AIHPA_1997__66_1_109_0
Schwarz, Günter; Śniatycki, Jędrzej. Gauge symmetries of an extended phase space for Yang-Mills and Dirac fields. Annales de l'I.H.P. Physique théorique, Tome 66 (1997) no. 1, pp. 109-136. https://www.numdam.org/item/AIHPA_1997__66_1_109_0/
[1] , "The Cauchy problem for the Yang-Mills equations", J. Funct. Anal., Vol. 33, 1979, pp. 175-194. | Zbl | MR
[2] and , "The Cauchy problem for coupled Yang-Mills and scalar fields in temporal gauge", Comm. Math. Phys., Vol. 82, 1981, pp. 1-28. | Zbl | MR
[3] and , "The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space", Comm. Math. Phys. , Vol. 83, 1982, pp. 171-191 and pp. 193-212. | Zbl
[4] and , "Exitence de solutions globales deséquations classiques des théories de jauge", C. R. Acad. Sc. Paris, Vol. 293, sér.1, 1981, pp. 181-195. | Zbl
[5] and , "Finite energy solutions of the Yang-Mills equations in IR3+1", preprint, Department of Mathematics, Princeton University.
[6] , Sobolev Spaces, Academic Press, Orlando, Florida, 1975. | Zbl | MR
[7] , "On weighted Beppo Levi functions. Integral representation and behaviour at infinity", Analysis, Vol. 9, 1989, pp. 323-346. | Zbl | MR
[8] and , "Les éspaces du type de Beppo Levi", Ann. Inst. Fourier, Vol. 5, 1955, pp. 305-370. | Zbl | MR | Numdam
[9] , "The behavior of the Laplacian on weighted Sobolev spaces", Comm. Pure Appl. Math., Vol. XXXII, 1979, pp. 783-795. | Zbl | MR
[10] , Hodge Decomposition - A Method for Solving Boundary Value Problems, Lecture Notes in Mathematics 1607, Springer-Verlag, Heidelberg, 1995. | Zbl | MR
[11] , Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer Verlag, New York, 1983. | Zbl | MR
[12] , Linear Operators in Hilbert Spaces, Springer Verlag, Berlin, 1980. | Zbl | MR
[13] , Functional Analysis, Springer Verlag, Berlin, 1971. | Zbl
[14] and , "Yang-Mills and Dirac fields in a bag, existence and uniqueness theorems", Comm. Math. Phys., Vol. 168, 1995, pp. 441-453. | Zbl | MR
[15] , and , "Yang-Mills and Dirac fields in a bag, constraints and reduction", Comm. Math. Phys., Vol. 176, 1996, pp. 95-117. | Zbl | MR
[16] , "Non-linear semigroups", Ann. Math., Vol. 78, 1963, pp. 339-364. | Zbl | MR
[17] and , "The Hamiltonian evolution of Yang-Mills and Dirac fields", Acta Phys. Pol. B 27, No. 4, 1-12 (1996).
[18] , "Analytische Abbildungen und semilineare Differentialgleichungen in Banachräumen", Nachr. Akad. Wiss. Göttingen, II, math.-phys. Klasse, 1979, pp. 1-48. | Zbl | MR
[19] , "Gauge theory of open manifolds of bounded geometry", Ann. Global Anal. Geom., Vol. 11, 1993, pp. 253-300. | MR
[20] , Sur les espaces a structures uniformes, Act. Sci. Ind., 551, Hermann, Paris, 1938. | Zbl
[21] , Differential and Riemannian Manifolds, Springer Verlag, New York, 1995. | Zbl | MR
[22] and , "The constraint set of the Yang-Mills-Dirac theory in the Minkowski space", in preparation.
[23] and [94], "An invariance argument for confinement", Rep. Math. Phys., 34, 1994, pp. 311-324. | Zbl | MR
[24] , and , "Weighted Sobolev spaces for Laplace's equation in IRn", J. Math. Pures Appl., Vol. 73, 1994, pp. 579-606. | Zbl | MR






