In the reconfined phase of trace-deformed (2+1)D SU(2) gauge theory, Polyakov-loop data are accurately fit by the Polchinski-Yang rigid string while Nambu-Goto fails, with modified flux-tube width and a shift to first-order reconfinement.
Intrinsic Width of the Flux Tube as a tool to explore confining mechanisms in Lattice Gauge Theories
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abstract
We study the profile of the flux tube in the SU(2) gauge model in 2+1 dimensions, with a particular attention to the so called "intrinsic width" which drives the exponential decay of the flux density at large transverse distances. This quantity is directly related to the confining mechanism which generates the flux tube: to test the properties of the latter we study a wide range of different values of lattice spacing, temperature and flux tube lengths and show that our data are precise enough to distinguish between different confining models. In particular we show that at high temperatures (just below the deconfinement transition) the data are perfectly described by an Ising-like effective model based on the Svetitsky-Yaffe mapping. At lower temperatures this approximation does not hold anymore. In this regime (which is the most interesting one from a physical point of view) we test several alternative proposals and show that the dual superconductor model is the one which better fits the data. However, this proposal is not fully satisfactory, because the values of the Ginzburg-Landau parameter extracted from the fits increase with the length of the flux tube, which is not a feature predicted by the model. This suggests that a more sophisticated model is needed to explain confinement in non-abelian gauge theories and, at the same time, that our data on the intrinsic width may be a powerful tool to benchmark these candidates.
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In the 3D Ising model, a fluctuating domain wall interacts with bulk particles such that large-distance corrections to free energy and correlation tails are controlled by a single renormalized coupling λ in the nearly on-shell regime.
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Confining Flux Tube in the Trace Deformed (2+1) Dimensional SU(2) Gauge Theory
In the reconfined phase of trace-deformed (2+1)D SU(2) gauge theory, Polyakov-loop data are accurately fit by the Polchinski-Yang rigid string while Nambu-Goto fails, with modified flux-tube width and a shift to first-order reconfinement.
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Effective strings and particles interacting in 3D: the Ising model
In the 3D Ising model, a fluctuating domain wall interacts with bulk particles such that large-distance corrections to free energy and correlation tails are controlled by a single renormalized coupling λ in the nearly on-shell regime.