[Question] Refresh rate and Fighters

Hello all,

I have a question about refresh rate and fighters. This is not about input lag, but what I assume to be monitor refresh rate. I recently purchased Blazblue for the PS3 and as I was playing, I noticed that the animation was blurrier, less sharp, and less distinct than when I played the game at an arcade. It seemed as if each frame of animation came out more clearly on the arcade cabinet than on my home set-up, especially for very fast animations.

Is this because the arcade cabinet uses a monitor with a better refresh rate? I was playing the game on an LED HD TV about a few years old. However, if the game animates at 60fps and my TV's refresh rate is also 60fps, how can the visual experience be better if the TV's refresh rate is higher than 60fps?
If the refresh rate is indeed the issue, what kind of monitor can I get to match the experience I had on the arcade cabinet?

Thanks everyone.