Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-06-26
Physics
High Energy Physics
High Energy Physics - Phenomenology
Talk given at the International Conference ``I.Ya. Pomeranchuk and Physics at the Turn of Centures'' January 24-28, 2003, Mosc
Scientific paper
Recently, it has been observed that the non-Abelian action associated with lattice monopoles and vortices is ultraviolet divergent, at least at presently available lattices. On the other hand, the total length of the monopole trajectories and area of the vortices scale in physical units. Coexistence of the two different scales, infrared and ultraviolet, for the same vacuum fluctuations represents a fine tuning. To check consistency of the newly emerging picture of non--perturbative fluctuations we consider constraints from the continuum theory on the ultraviolet behaviour of the monopoles and vortices. The constraints turn to be satisfied by the data in a highly non-trivial way. Namely, it is crucial that the monopoles populate not the whole of the four dimensional space but a two-dimensional subspace of it.
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