Continuum limit of string formation in 3-d SU(2) LGT

Abstract

We study the continuum limit of the string-like behaviour of flux tubes formed between static quarks and anti-quarks in three dimensional SU(2) lattice gauge theory. We compare our simulation data with the predictions of both effective string models as well as perturbation theory. On the string side we obtain clear evidence for convergence of data to predictions of Nambu-Goto theory. We comment on the scales at which the static potential starts departing from one loop perturbation theory and then again being well described by effective string theories. We also estimate the leading corrections to the one-loop perturbative potential as well as the Nambu-Goto effective string. In the intermediate regions we find that a modified Lennard-Jones type potential gives surprisingly good fits.

13 pages, 3 figures and 6 tables

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Cited by in corpus (19)

• On the effective theory of long open strings
• Effective string description of confining flux tubes
• Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
• Spectrum of the QCD flux tube in 3d SU(2) lattice gauge theory
• Zero Point Energy of Renormalized Wilson Loops
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• Bosonic stringlike behavior and the Ultraviolet filtering of QCD
• Disentangling the gravity dual of Yang-Mills theory
• Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory
• The QCD static potential in D<4 dimensions at weak coupling
• The QCD static potential in 2+1 dimensions at weak coupling
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Perturbative width of open rigid strings
• Stiff self-interacting string near QCD deconfinement point
• On QCD strings beyond non-interacting model
• Boundary action and profile of effective bosonic strings
• The Yang-Mills Vacuum Wave Functional in 2+1 Dimensions
• Strings of diquark-quark (QQ)Q baryon before phase transition
• Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model