  We have studied the zero temperature phase diagram of XYZ model in the
presence of transverse magnetic field. We show that small anisotropy (0 =<
Delta <1) is not relevant to change the universality class. The phase diagram
consists of two antiferromagnetic ordering and a paramagnetic phases. We have
obtained the critical exponents, fixed points and running of coupling constants
by implementing the standard quantum renormalization group. The continuous
phase transition from antiferromagnetic (spin-flop) phase to a paramagnetic one
is in the universality class of Ising model in transverse field. Numerical
exact diagonalization has been done to justify our results. We have also
addressed on the application of our findings to the recent experiments on
Cs_2CoCl_4.
