In the Curci-Ferrari model, the non-Abelian Casimir energy between magnetic-conductor plates is 3/2 times that for electric-conductor plates, and the massless limit is discontinuous (vDVZ-like), with the same pattern in 2+1D with factor 2.
Nonperturbative Casimir Effects in Field Theories: aspects of confinement, dynamical mass generation and chiral symmetry breaking
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abstract
The Casimir effect is a quantum phenomenon rooted in the fact that vacuum fluctuations of quantum fields are affected by the presence of physical objects and boundaries. Since the energy spectrum of the vacuum fluctuations depends on distances between (and geometries of) physical bodies, the quantum vacuum exerts a small but experimentally detectable force on neutral objects. Usually, the associated Casimir energy is calculated for free or weakly coupled quantum fields. We review recent studies of the Casimir effect in field-theoretical models which mimic features of non-perturbative QCD such as chiral or deconfining phase transitions. We discuss ${{\mathbb C}P}^{\,N-1}$ sigma model and chiral Gross-Neveu model in (1+1) dimensions as well as compact U(1) gauge theory and Yang-Mills theory in (2+1) dimensions.
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Non-Abelian Casimir energy in the Curci-Ferrari model through a functional approach
In the Curci-Ferrari model, the non-Abelian Casimir energy between magnetic-conductor plates is 3/2 times that for electric-conductor plates, and the massless limit is discontinuous (vDVZ-like), with the same pattern in 2+1D with factor 2.