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.
Highlights
Quantum fluctuations of virtual particles are affected by the presence of physical objects
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
Summary
Quantum fluctuations of virtual particles are affected by the presence of physical objects. Casimir Effect in Yang-Mills Theory in D = 2 + 1 For the first time, the Casimir effect in non-Abelian gauge theory using first-principles numerical simulations.
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