Air Conditioning Diagnostics, A/C, Repair, Broke Down
If the unit is doing nothing at all,
it is more than likely a power problem.

One consideration is if you were installing a new thermostat and you may have crossed up some of the wires.  (You should have turned the power off prior to changing it, if this is the case)!  
Call a technician.  You'll need a repair.

If the unit is doing nothing at all, it might have popped a fuse at the unit or tripped the breaker in the electric panel.  NOTE: Some electrical disconnects are 'fused' and some not, (non-fused). 
The 'disconnect' is located next to the outdoor unit.  Open the door and you'll see a 'fuse block' that you can pull out or the fuses are hidden behind the little interior panel/door and the pull out portion
doesn't have fuses mounted on it.

There is a reason this happened.  Fuses don't just 'get old' and fail on their own. 
A breaker, maybe.  Fuses never.  There is something causing a problem.

If you have been resetting the breaker or changing fuses, we strongly advise that you have someone out and get the problem taken care of, or you'll wind up spending ALOT more after it creates much bigger problems. 
DO NOT continue merely replacing fuses or resetting breakers!  You're asking for trouble if you do.

BAD FUSES:
Two Choices

Choice #1:  Check the Fuses to See if They Are Bad
Pull the 'disconnect' and either take them to your local hardware store to have them check them or use an 'ohm' or 'continuity' meter yourself, if you have one, to see if they are in tact or not. 
You should, of course, have continuity.

Choice #2:  Replace Both Fuses
Take your fuses with you to the drug, grocery, dollar or hardware store and replace them with the same size and type.  For the most part there are only two sizes.  The smaller size are only rated for up to 30 amps.  All of these places typically have them.

If you need to, you can typically read the plate/sticker on the unit to see what size fuses it requires.  You can choose a fuse that is between what is listed for 'minimum circuit capacity' and 'maximum circuit capacity'.

There are 'One Time' and 'Time Delay' Fuses.  One Time fuses will blow immediately  open upon reaching their rating.  Time delay fuses will take 4-5 hits before they blow. 

For a brief explanation of Breakers and Fuses and how they work, click HERE.

This information should only be considered conversation and a potential temporary solution to your problem.  This is not intended to be a final solution.  You should have your unit checked by a qualified technician at first opportunity. 

We are based here in Arizona and air conditioning is very important. 
When its out, even a little help is a big help.