Nonanalyatic properties and normal current of superfluid 3He-A at T = 0 K

The nonanalytic behavior of 3He-A at T = 0 K is discussed. The textual free energy due to order-parameter spatial variation is studied in q space. It is show that the gradient expansion does not hold at T = 0 K, because the free energy involves q2 in q. The logarithmic terms are estimated in leading order. It is also shown that even in a uniform texture, normal current along the l vector exists at T = 0 K. This comes from the fact the Landau criterion of superfluidity is partly violated in 3He-A