Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-07
Int.J.Geom.Meth.Mod.Phys.05:375-386,2008
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1142/S0219887808002849
From the perspective of topological field theory we explore the physics beyond instantons. We propose the fluctons as nonperturbative topological fluctuations of vacuum, from which the self-dual domain of instantons is attained as a particular case. Invoking the Atiyah-Singer index theorem, we determine the dimension of the corresponding flucton moduli space, which gives the number of degrees of freedom of the fluctons. An important consequence of these results is that the topological phases of vacuum in non-Abelian gauge theories are not necessarily associated with self-dual fields, but only with smooth fields. Fluctons in different scenarios are considered, the basic aspects of the quantum mechanical amplitude for fluctons are discussed, and the case of gravity is discussed briefly.
Cartas-Fuentevilla R.
Solano-Altamirano J. M.
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