4 problems
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Adler's monopole-background confinement conjecture
Consider classical Yang--Mills theory with quark sources placed in the background of a non-Abelian ’t Hooft--Polyakov monopole or a generalization thereof. Adler's monopole-backgro…
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The four-dimensional area-law conjecture for non-Abelian Yang–Mills theories
In four dimensions, consider non-Abelian Yang–Mills theories with inverse coupling constant , a parameter governing the amount of order or disorder in the system. Area-law c…
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The quark-confinement conjecture for the Yang–Mills theory
Let be the gauge group and let the nontrivial Yang–Mills theory on Minkowskian spacetime be the theory whose existence and quantization are asserted by the Y…
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The quark-confinement conjecture for lattice gauge theory
Let be a closed loop in the lattice and let be its Wilson loop variable. Let the minimum surface area enclosed by mean…