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math-ph2013★ 3 cited
Higgs potential and confinement in Yang-Mills theory on exotic R^4
Torsten Asselmeyer-Maluga, Jerzy Król
We show that pure SU(2) Yang-Mills theory formulated on certain exotic R^4 from the radial family shows confinement. The condensation of magnetic monopoles and the qualitative form…
math-ph2012★ 1 cited
Magnetic monopoles, squashed 3-spheres and gravitational instantons from exotic R^4
Torsten Asselmeyer-Maluga, Jerzy Król
We show that, in some limit, gravitational instantons correspond to exotic smooth geometry on R^4. The geometry of this exotic R^4 represents magnetic monopoles of Polyakov-'t Hoof…
math-ph2008
Topos Mediated Gravity: Toward the Categorical Resolution of the Cosmological Constant Problem
Jerzy Król
According to Döring and Isham the spectral topos corresponds to any quantum system. The description of a system in the topos becomes similar to this given by classical theory, up t…