  The new superconductivity theory that attributes the $U(1)$ superconductivity
phase to a Berry phase arising from many-body wave functions is applied to the
circuit quantization for superconducting qubits.
  The phase-charge duality required for the occurrence of superconductivity in
the standard theory becomes irrelevant in the new theory, and the absence of a
dissipative quantum phase transition in Josephson junctions is explained. It is
shown that a charge-decaying term leads to the compact phase description, and
the appearance of Shapiro steps is explained without introducing normal
current.
