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## Banach Center Publications

1997 | 39 | 1 | 363-371
Tytuł artykułu

### String picture of gauge fields

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The article reviews attempts to formulate the theory of gauge fields in terms of a string theory.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
363-371
Opis fizyczny
Daty
wydano
1997
Twórcy
autor
• Institute of Theoretical Physics, Warsaw University, Hoża 69, 00-681 Warsaw, Poland
Bibliografia
• [1] M. F. Atiyah and L. Jeffrey, Topological lagrangians and cohomology, J. Geom. Phys. 7 (1990) 119.
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• [3] I. Bars, A quantum string theory of hadrons and its relation to quantum chromodynamics in two dimensions, Nuclear Phys. B 111 (1976), 1744.
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• [5] S. Corder, G. Moore and S. Ramgoolam, Large N 2D Yang-Mills theory and topological string theory, Yale preprint YCTP-P23-93; hep-th/9402107.
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• [8] D. J. Gross, Two-dimensional QCD as a string theory, 400 (1993), 161; hep-th/9212149.
• [9] D. J. Gross and W. Taylor, IV, Twists and loops in the string theory of two-dimensional QCD, 403 (1993), 395; hep-th/9303076.
• [10] D. J. Gross and W. Taylor, IV, Two-dimensional QCD is a string theory, 400 (1993), 181; hep-th/9301068.
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• [12] W. Hirsch, Immersions of Manifolds, Trans. Amer. Math. Soc. 93 (1959), 242.
• [13] G. 't Hooft, A planar diagram theory for strong interactions, 72 (1974), 461.
• [14] G. 't Hooft, A two-dimensional model for mesons, 75 (1974), 461.
• [15] P. Horava, Topological Rigid String Theory and Two Dimensional QCD, PUPT-1547, June 1995; hep-th/9507060.
• [16] P. Horava, Topological Strings and QCD in Two Dimensions, to appear in: Proc. of The Cargese Workshop, 1993; hep-th/9311156.
• [17] R. Lashof and S. Smale, On immersions of manifolds in Euclidean space, 68 (1958), 562.
• [18] V. Mathai and D. Quillen, Superconnections, Thom classes, and equivariant differential forms, Topology 25 (1986), 85.
• [19] A. Migdal, Recursion equations in gauge field theories, Zh. Èksp. Teoret. Fiz. 69 (1975), 810; translated in Sov. Phys. JETP 42 (1975), 413.
• [20] J. Pawełczyk, Immersions and folds in string theories of gauge fields, Internat. J. Modern Phys. A 11 (1996), 2661; hep-th/9604053.
• [21] J. Pawełczyk, Two-dimensional string-theory model with no folds, 74 (1995), 3924; hep-th/9403175.
• [22] B. Rusakov, Loop averages and partition function in U(N) gauge theory on two-dimensional manifolds, 5 (1990), 693.
• [23] S. Smale, Regular curves on Riemannian manifolds, Trans. Amer. Math. Soc. 87 (1958), 492.
• [24] S. Smale, The classification of immersions of spheres in Euclidean spaces, 69 (1959), 327.
• [25] W. Thurston, The Geometry and Topology of Three-manifolds, Ch. 13, Princeton notes, 1977 (unpublished).
• [26] H. Whitney, On singularities of maps of Euclidean spaces: $R^2 \to R^2$ case, Ann. of Math. (2) 62 (1955), 374.
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• [28] E. Witten, Topological quantum field theory, 117 (1988), 353.
Typ dokumentu
Bibliografia
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