2005/12/04 by V.G. Bornyakov, V. G. Bornyakov, M. I. Polikarpov +5 · 7 citations
Physics and Astronomy · #Abelian group #Field (mathematics) #Gauge theory #High-Energy Particle Collisions Research #Magnetic monopole #Projection (relational algebra) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #String (physics) #hep-lat
paper · pdf · doi:10.1016/j.nuclphysbps.2006.01.002
published in Nuclear Physics B - Proceedings Supplements 153(1), 25-32 (Elsevier BV) · 8 pages, to appear in the proceedings of the Workshop on Computational Hadron Physics, Nicosia, September 2005
arxiv created 2005/12/04 · openalex publication_date 2006/02/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
After fixing the Maximal Abelian gauge in SU(2) lattice gauge theory we decompose the nonabelian gauge field into the so called monopole field and the modified nonabelian field with monopoles removed. We then calculate respective static potentials and find that the potential due to the modified nonabelian field is nonconfining while, as is well known, the monopole field potential is linear. Furthermore, we show that the sum of these potentials approximates the nonabelian static potential with 5% or higher precision at all distances considered. We conclude that at large distances the monopole field potential describes the classical energy of the hadronic string while the modified nonabelian field potential describes the string fluctuations. Similar decomposition was observed to work for the adjoint static potential. A check was also made of the center projection in the direct center gauge. Two static potentials, determined by projected Z2 and by modified nonabelian field without Z2 component were calculated. It was found that their sum is a substantially worse approximation of the SU(2) static potential than that found in the monopole case. It is further demonstrated that similar decomposition can be made for the flux tube action/energy density.