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Discretizations of continuum theories often do not preserve the gauge symmetry content. This occurs in particular for diffeomorphism symmetry in general relativity, which leads to severe difficulties ...
Nonlinear sigma models with non-compact target space and non-amen-able symmetry group were introduced long ago in the study of disordered electron systems. They also occur in dimensionally reduced qua...
Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time
Self-Dual Yang-Mills Equations Space-time
2010/12/22
We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symme...
On the Origin of Gauge Symmetries and Fundamental Constants
Gauge Symmetries Fundamental Constants
2010/3/17
A statistical mechanism is proposed for symmetrization of an extra space. The conditions and rate of attainment of a symmetric configuration and, as a consequence, the appearance of gauge invariance i...