Do you know why in the quantization of SU(2) Yang Mills Gauge Theory, it is always chosen the Weyl (temporal) gauge to derive the Hamiltonian?
Is it possible to fix another gauge?
Formally, the gauge-invariant observables do not depend on the choice of gauge-fixing condition (such as, e.g., Lorenz gauge, Coulomb gauge, axial gauge, temporal gauge, etc). Similarly, the Hamiltonian can formally be gauge-fixed in any gauge.
However, it is my understanding that to avoid the Gribov problem, an algebraic (rather than a differential) gauge-fixing condition is preferred. See also the footnote on p. 15 in S. Weinberg, Quantum Theory of Fields, Vol 2.