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SU(N) gauge theories in 2+1 dimensions
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We calculate the mass spectra and string tensions of SU(2), SU(3), SU(4) and SU(5) gauge theories in 2+1 dimensions. We do so by simulating the corresponding lattice theories and then extrapolating dimensionless mass ratios to the continuum limit. We find that such mass ratios are, to a first approximation, independent of the number of colours and that the remaining dependence can be accurately reproduced by a simple O(1/N.N) correction. This provides us with a prediction of these mass ratios for all SU(N) theories in 2+1 dimensions and demonstrates that these theories are already `close' to N=infinity for N=2. We find that the theory retains a non-zero confining string tension as N goes to infinity and that the dimensionful coupling g.g is proportional to 1/N at large N, when expressed in units of the dynamical length scale of the theory. During the course of these calculations we study in detail the effects of including over-relaxation in the Monte Carlo, of using a mean-field improved coupling to extrapolate to the continuum limit, and the use of space-time asymmetric lattice actions to resolve heavy glueball correlators.
Forward citations
Cited by 4 Pith papers
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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...
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Effective string description of the reconfined phase in the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2+1) dimensions
In the reconfined phase of trace deformed SU(2) gauge theory, the flux tube energy follows the Polchinski-Yang rigid string rather than the Nambu-Goto string.
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Intrinsic Width of the Flux Tube as a tool to explore confining mechanisms in Lattice Gauge Theories
Lattice data on the intrinsic width of SU(2) flux tubes in 2+1D distinguish confining models, favoring dual superconductor at low T but with length-dependent Ginzburg-Landau parameter.
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Effective String Theory of three-dimensional SU(N) gauge theories beyond the Nambu--Got\=o approximation
The authors extract the first two beyond-Nambu-Goto effective string coefficients k4 and k5 for SU(3), SU(6), and improved values for SU(2) from high-precision lattice data near deconfinement, finding agreement with S...
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