Adjoint string breaking in 4d SU(2) Yang-Mills theory

Abstract

We compute the static potential of adjoint sources in SU(2) Yang-Mills theory in four dimensions by numerical Monte Carlo simulations. Following a recent calculation in 2+1 dimensions, we employ a variational approach involving string and gluelump operators and obtain clear evidence for string breaking and the saturation of the potential at large distances. For the string breaking scale we find $r_b\approx 1.25\mathrm{fm},2.3r_0$, or in units of the lightest glueball, $r_b{m}_{0++}\approx 9.7$. We furthermore resolve the first excitation of the flux-tube and observe its breaking as well. The result for $r_b$ is in remarkable quantitative agreement with the three-dimensional one.

15 pages, 3 figures; increased statistics; gauge-fixing clarified; typos corrected

Cited by in corpus (48)

• QCD forces and heavy quark bound states
• The Confinement Problem in Lattice Gauge Theory
• Observation of String Breaking in QCD
• Casimir scaling of SU(3) static potentials
• Four-quark spectroscopy within the hyperspherical formalism
• Coulomb Energy, Vortices, and Confinement
• Casimir scaling as a test of QCD vacuum
• Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory
• Center Vortices and Monopoles without lattice Gribov copies
• Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• Nature of the light scalar mesons
• Observing string breaking with Wilson loops
• Open-charm meson spectroscopy
• Non-perturbative formulation of the static color octet potential
• Dynamical study of $\mathbf{QQ}-\bar{\mathbf{u}}\bar{\mathbf{d}}$ mesons
• On the non-perturbative gluon mass and heavy quark physics
• Heavy Meson Description with a Screened Potential
• Casimir Scaling and String Breaking in G(2) Gluodynamics
• String Breaking as a Mixing Phenomenon in the SU(2) Higgs Model
• Zero temperature string breaking in lattice quantum chromodynamics
• Screened potential and the baryon spectrum
• String Breaking and Monopoles: a Case Study in the 3D Abelian Higgs Model
• From Decay to Complete Breaking: Pulling the Strings in SU(2) Yang-Mills Theory
• Towards the discovery of novel $B_c$ states: radiative and hadronic transitions
• Adjoint "quarks" on coarse anisotropic lattices: Implications for string breaking in full QCD
• String breaking with Wilson loops?
• Casimir Scaling in SU(2) Lattice Gauge Theory
• Diffusion of Wilson Loops
• Overlap of the Wilson loop with the broken-string state
• Remarks on the Gribov Problem in Direct Maximal Center Gauge
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• The decay of unstable k-strings in SU(N) gauge theories at zero and finite temperature
• Universality, vortices and confinement: modified SO(3) lattice gauge theory at non-zero temperature
• Confining Effective Theories Based on Instantons and Merons
• Decomposition of the SU(2) gauge field in the Maximal Abelian gauge
• Matter degrees of freedom and string breaking in Abelian projected quenched SU(2) QCD
• Adjoint string breaking in the pseudoparticle approach
• A Diffusion Model for SU(N) QCD Screening
• Constructing static quark-anti-quark creation operators from Laplacian eigenmodes
• Center vortices in MCG - finite-size and gauge-copy effects
• Some universal properties of the string breaking
• $b\bar{b}$ Description with a Screened Potential
• The functional form of open Wilson lines in gauge theories coupled to matter
• Zero Temperature String Breaking with Staggered Quarks
• Kramers-Moyall cumulant expansion for the probability distribution of parallel transporters in quantum gauge fields
• Adjoint torelons, and the persistence of color electric flux tubes in the deconfined phase
• Mass generation with adjoint fermions