Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four Dimensions

Abstract

We calculate the one-loop effective action of the SU(2) Yang-Mills theory for center-vortex configurations, both in 3d and 4d. We find that in both cases there are minima of the effective action, corresponding to vortices of the transverse size approximately 4/g_3^2 and 1.7/Lambda_MS, respectively. The values of the effective actions at the minima are negative, suggesting that the Euclidian vacuum may be unstable with respect to creation of vortices.

18 pages, 5 figures, RevTeX, some discussion added, minor stylistic changes, none of the results changed, version to appear in Phys Rev. D

References in corpus (1)

• Quantum Energies of Interfaces

Cited by in corpus (16)

• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Photoproduction of eta-mesons on the deuteron above S11(1535) in the presence of a narrow P11(1670) resonance
• Confinement from Center Vortices: A review of old and new results
• Fermionic Vacuum Energy from a Nielsen-Olesen Vortex
• On the spectrum of the Faddeev-Popov operator in topological background fields
• On the Vacuum energy of a Color Magnetic Vortex
• k-String Tensions and Center Vortices at Large N
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• Different faces of confinement
• Stable Monopole-Antimonopole String Background in SU(2) QCD
• Energy Density of Vortices in the Schroedinger Picture
• Instantons, monopoles, vortices, and the Faddeev-Popov operator eigenspectrum
• Derivation of an Abelian effective model for instanton chains in 3D Yang-Mills theory
• Strong magnetic field asymptotic behaviour for the fermion-induced effective energy in the presence of a magnetic flux tube
• Tachyon condensation in a chromomagnetic background field and the groundstate of QCD
• Vacuum Energy of Quantum Fields in Classical Background Configurations