Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-12-04
Nucl.Phys.Proc.Suppl. 153 (2006) 25-32
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, to appear in the proceedings of the Workshop on Computational Hadron Physics, Nicosia, September 2005
Scientific paper
10.1016/j.nuclphysbps.2006.01.00
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 $Z_2$ and by modified nonabelian field without $Z_2$ 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.
Bornyakov V. G.
Polikarpov Mikhail I.
Schierholz Gerrit
Suzuki Toshiya
Syritsyn Sergey N.
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