We recommend the article: Weightlifting shoes 101, published on ExRx.net:
Ever thought about the shoes that you wear to the gym? Of course you have. You’ve actually spent some time thinking about which shoes to wear, and you probably have a pair designated as your ‘gym shoes’. How did those shoes earn that illustrious title and serve such a noble purpose? Suitability for the task? Performance enhancement? Safety? Not usually.
If we lift in a running shoe, it’s akin to trying to lift while standing on a giant marshmallow. The soles of the running shoes, the marshmallow, will absorb and dissipate a large amount of the force generated against the floor that should be directed towards moving the weight. A gel or air cell shoe is a great thing for reducing the impact shock that causes the repetitive use injuries associated with running. But in the weight room, shoes should provide for the efficient transmission of power between the bar and the ground. You can’t lift as much weight in the wrong shoes.
Read the full article here.