Instantons and Gribov Copies in the Maximally Abelian Gauge
نویسندگان
چکیده
We calculate the Faddeev-Popov operator corresponding to the maximally Abelian gauge for gauge group SU(N). Specializing to SU(2) we look for explicit zero modes of this operator. Within an illuminating toy model (Yang-Mills mechanics) the problem can be completely solved and understood. In the field theory case we are able to find an analytic expression for a normalizable zero mode in the background of a single ‘t Hooft instanton. Accordingly, such an instanton corresponds to a horizon configuration in the maximally Abelian gauge. Possible physical implications are discussed.
منابع مشابه
Monopole spectra in non – Abelian gauge theories
We study the continuum limit of the length spectrum of magnetic monopole structures found after various Abelian projections of pure gauge SU (2), including the maximally Abelian gauge. We comment on Gribov copies, and measurements of the string tension.
متن کاملar X iv : h ep - l at / 9 60 20 24 v 2 2 4 A pr 1 99 6 SU ( 2 ) gauge theory in the maximally abelian gauge without monopoles
SU (2) gauge theory in the maximally abelian gauge without monopoles. Abstract We present an algorithm for simulation of SU (2) lattice gauge theory under the MA gauge and first numerical results for the theory without abelian monopoles. The results support the idea that nonperturbative interaction arises between monopoles and residual abelian field and the other interactions are per-turbative....
متن کاملDual superconductor scenario of confinement: A systematic study of Gribov copy effects.
We perform a study of the effects from maximal abelian gauge Gribov copies in the context of the dual superconductor scenario of confinement, on the basis of a novel approach for estimation of systematic uncertainties from incomplete gauge fixing. We present numerical results, in SU(2) lattice gauge theory, using the overrelaxed simulated annealing gauge fixing algorithm. We find abelian and no...
متن کاملInstantons in the Maximally Abelian Gauge
We investigate the Maximally Abelian (MA) Projection for a single SU(2) instanton in continuum gauge theory. We find that there is a class of solutions to the differential MA gauge condition with circular monopole loops of radius R centered on the instanton of width ρ. However, the MA gauge fixing functional G decreases monotonically as R/ρ → 0. Its global minimum is the instanton in the singul...
متن کاملInstantons and Monopoles in the Maximally Abelian Gauge
We study the Abelian projection of SU(2) instantons in the Maximally Abelian gauge. We find that in this gauge an isolated instanton produces a closed monopole loop within its core and the size of this loop increases with the core size. We show that this result is robust against the introduction of small quantum fluctuations. We investigate the effects of neighbouring (anti)instantons upon each...
متن کامل