Multi-scale Physical Properties of NGC 6334 as Revealed by Local Relative Orientations between Magnetic Fields, Density Gradients, Velocity Gradients, and Gravity

We present ALMA dust polarization and molecular line observations toward four clumps (I(N), I, IV, and V) in the massive star-forming region NGC 6334. In conjunction with large-scale dust polarization and molecular line data from JCMT, Planck, and NANTEN2, we make a synergistic analysis of relative orientations between magnetic fields (theta (B)), column density gradients (theta (NG)), local gravity (theta (LG)), and velocity gradients (theta (VG)) to investigate the multi-scale (from similar to 30 to 0.003 pc) physical properties in NGC 6334. We find that the relative orientation between theta (B) and theta (NG) changes from statistically more perpendicular to parallel as column density ( N-H2 NG and theta (LG) are preferentially aligned within the NGC 6334 cloud, we suggest that the more parallel alignment between theta (B) and theta (NG) at higher N-H2 N-H2 B and theta (NG) or theta (LG) transits back to having no preferred orientation, or statistically slightly more perpendicular, suggesting that the magnetic field structure is impacted by star formation activities. A statistically more perpendicular alignment is found between theta (B) and theta (VG) throughout our studied N-H2 range, which indicates a trans-to-sub-Alfvenic state at small scales as well, and this signifies that magnetic field has an important role in the star formation process in NGC 6334. The normalized mass-to-flux ratio derived from the polarization-intensity gradient(KTH)method increases with N-H2, but the KTH method may fail at high N-H2 due to the impact of star formation feedback.