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

2018/05/30 by M. N. Chernodub, V. A. Goy, A. V. Molochkov +1
Mathematics · Physics and Astronomy · #Casimir effect #Combinatorics #Condensed matter physics #Cosmology and Gravitation Theories #Deconfinement #Dimension (graph theory) #Gauge theory #Geometry #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Phase (matter) #Physics #Quantum Electrodynamics and Casimir Effect #Quantum chromodynamics #Quantum mechanics #Scaling #hep-lat #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevlett.121.191601

published as Phys. Rev. Lett. 121, 191601 (2018) · 6 pages, 4 figures

arxiv created 2018/05/30 · openalex created_date 2018/06/13 · openalex publication_date 2018/11/06 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05

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.

Citations