Virtual Ground in op amp
The notion of a "virtual short" means that the voltages at the inverting and non-inverting op amp inputs are at the same voltage. This is true for an ideal op amp and a reasonably close approximation for a real op amp, provided that they are in a circuit with negative feedback and within their specified limits.

The virtual short does not allow current to flow between the two inputs. In an ideal op amp there is zero current into or out of either of the inputs.