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Casimir Effect in Yang-Mills Theory in D=2+1

Abstract : We study, for the first time, the Casimir effect in non-Abelian gauge theory using first-principles numerical simulations. Working in two spatial dimensions at zero temperature, we find that closely spaced perfect chromoelectric conductors attract each other with a small anomalous scaling dimension. At large separation between the conductors, the attraction is exponentially suppressed by a new massive quantity, the Casimir mass, which is surprisingly different from the lowest glueball mass. The apparent emergence of the new massive scale may be a result of the backreaction of the vacuum to the presence of the plates as sufficiently close chromoelectric conductors induce, in a space between them, a smooth crossover transition to a color deconfinement phase.
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Maxim N. Chernodub, V.A. Goy, A.V. Molochkov, Ha Huu Nguyen. Casimir Effect in Yang-Mills Theory in D=2+1. Phys.Rev.Lett., 2018, 121 (19), pp.191601. ⟨10.1103/PhysRevLett.121.191601⟩. ⟨hal-01815174⟩



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