I have not had this problem at all with this monitor. What are you using as your screen refresh rate?
From Wikipedia: "Screen tearing is a visual artifact in video display where a display device shows information from multiple frames in a single screen draw.
The artifact occurs when the video feed to the device is not in sync with the display's refresh rate. This can be due to non-matching refresh rates—in which case the tear line moves as the phase difference changes (with speed proportional to difference of frame rates). It can also occur simply from lack of sync between two equal frame rates, in which case the tear line is at a fixed location that corresponds to the phase difference. During video motion, screen tearing creates a torn look as edges of objects (such as a wall or a tree) fail to line up.
Tearing can occur with most common display technologies and video cards, and is most noticeable in horizontally-moving visuals, such as in slow camera pans in a movie, or classic side-scrolling video games.
Screen tearing is less noticeable when more than two frames finish rendering during the same refresh interval, since this means the screen has several narrower tears instead of a single wider one."
Hope this helps!
-mike