1. Gauge independence of Abelian confinement mechansim in SU2 gluodynamics T. Suzuki, Kanazawa Univ., Japan (In collab. with T.Sekido, K.Ishiguro, Y.Koma) Lattice2007-- ---31/7/2007

2. Surprizing results: 1. Extraction of the confining component in gauge fields is possible without cooling or any gauge fixing. Gauge independence 2. Abelian and monopole dominances are almost perfect. 3. Squeezing of electric fields occurs due to solenoidal monopole currents. The Abelian dual Meissner effect is working. The vacuum is near the border between type 1 and 2 superconductor. 4. Confinement of non-Abelian color charge is explained in the framework of the Abelian dual Meissner effect.

3. 1. Extraction of confining component Non-perturbative confining component

5. 2-1. Abelian dominance

6. Abelian static potential Error bars are very small.

7. Force from Abelian static potential Consistent with theoretical works ( ’ 99 Ogilvie, Faber et al. )

8. 2-2 Monopole dominance

9. Noise reduction method using random gauge transformations

10. Abelian, monopole and photon static potentials

11. Forces

12. String tensions Monopole dominance as well as Abelian dominance are seen very beautifully. Both are much better than in MA gauge.

13. 3. Squeezing of electric field flux Connected correlations between NA Wilson loop and Abelian operators

14. Dual Meissner effect Monopoles are responsible for the dual Meissner effect.

15. Vacuum type Errors are still too large. We need more statistics on larger lattice.

16. 4. Color confinement from Abelian picture

18. Surprizing results: 1. Extraction of the confining component in gauge fields is possible without cooling or any gauge fixing. Gauge independence 2. Abelian and monopole dominances are almost perfect. 3. Squeezing of electric fields occurs due to solenoidal monopole currents. The Abelian dual Meissner effect is working. The vacuum is near the border between type 1 and 2 superconductor. 4. Confinement of non-Abelian color charge is explained in the framework of the Abelian dual Meissner effect.