2 research outputs found
Nahm dualities on the torus - a synthesis
We give a unified description of self-dual SU(2) gauge fields on tori of size
lt x ls^3 based on a mixture of analytical and numerical methods using the Nahm
transformation, extended to the case of twisted boundary conditions. We show
how torus calorons (lt/ls small) are Nahm dual to the torus instantons (lt/ls
large). Holonomies are dual to the locations of constituents, this duality
becoming exact in the limiting cases ls or lt --> infinity. Implications for
the moduli spaces are discussed.Comment: Latex, 22 pages, 8 figures in 11 postscript file
Comments on the Instanton Size Distribution
By studying the non-linear effects of overlapping instanton pairs we address
difficulties in the identification of instanton distributions when the average
instanton size is comparable to the average distance. For the exact charge two
solution, we study how its parametrisation relates to a description in terms of
individual instantons. There exist two dual sets of parameters describing the
same charge two instanton solution. This duality implies the existence of a
minimal separation between two instantons. Conventionally used lattice
instanton finder algorithms based on the assumption of diluteness tend to
underestimate instanton sizes. Finally we numerically confirm this for
realistic parameters of the instanton liquid. The effect is enhanced by
parallel orientation in group space.Comment: LaTeX, 15 pages, 3 figure