Saturday, December 19, 2015

quantum chromodynamics - Why are the Higgs phase and the confinement phase identical in Yang-Mills-Higgs systems?


If we couple a Yang-Mills theory with a Higgs field and some quarks in the fundamental representation, we can have a Higgs phase and a confining phase. However, they are indistinguishable. The Wilson loops scale according to the perimeter law, not the area law in the confining phase because of hadronization. In the Higgs phase, there is no cluster decomposition for the Higgs field because distant points have to be connected by a Wilson line with exponential falloff as the length of the Wilson line.


Why are both phases indistinguishable?





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classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

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