Publication: Current forms and gauge invariance
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Publication Date
2004
Authors
Muñoz Masqué, Jaime
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IOP Publishing
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Abstract
Let C be the bundle of connections of a principal G-bundle π: P → M,and let V be the vector bundle associated with P by a linear representation G → GL(V ) on a finite-dimensional vector space V . The Lagrangians on J 1(C ×M V) whose current form is gauge invariant, are described and the
gauge-invariant Lagrangians on J 1(V) are classified.
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Betounes D 1989 The geometry of gauge–particle field interaction: a generalization of Utiyama’s theorem J. Geom. Phys. 6 107–25
Bleecker D 1981 Gauge Theory and Variational Principles (Reading, MA: Addison-Wesley)
Bredon G E 1972 Introduction to Compact Transformation Groups (New York: Academic)
Castrillón López M, Hernández Encinas L and Muñoz Masqué J 2000 Gauge invariance on interaction U(1)bundles J. Phys. A: Math. Gen. 33 3253–67
Castrillón López M and Muñoz Masqué J 2001 The geometry of the bundle of connections Math. Z. 236 797–811
Castrillón López M and Muñoz Masqué J 2003 U(1)-invariant current forms Rep. Math. Phys. 52 423–35
Eck D J 1981 Gauge-natural bundles and generalized gauge theories Mem. Am. Math. Soc. 247
García Pérez P 1974 The Poincaré–Cartan invariant in the calculus of variations Symposia Mathematica, Convegno di Geometria Simplettica e Fisica Matematica, INDAM, Rome, 1973 vol 14 (London: Academic)pp 219–46
García Pérez P 1972 Connections and 1-jet bundles Rend. Sem. Mat. Univ. Padova 47 227–42
García Pérez P 1977 Gauge algebras, curvature and symplectic structure J. Differ. Geom. 12 209–27
García Pérez P and Pérez RendónA1978 Reducibility of the symplectic structure of minimal interactions Lecture Notes in Math. (Proc. Conf. Differential GeometricalMethods in Mathematical Physics, II’, University Bonn (Bonn, 1977) vol 676 (Berlin: Springer) pp 409–33
Guillemin V and Sternberg S 1984 Symplectic Techniques in Physics (Cambridge: Cambridge University Press)
Kobayashi S and Nomizu K 1963 Foundations of Differential Geometry vol 1 (New York: Wiley)
Schwarz G W 1975 Smooth functions invariant under the action of a compact Lie group Topology 14 63–8
Serre J-P 1987 Complex Semisimple Lie Algebras (New York: Springer)
Utiyama R 1956 Invariant theoretical interpretation of interaction Phys. Rev. 101 1597–1607