Need understanding on amperage


Forgive me for being a little slow but I'm confused on how to understand the amp ratings:

My circuit to my gear is 20 amps
My conditioner is good to 45 amps (Furman Elite PF15)
My amp is rated at 60 amps per channel (Parasound A21)
and my speakers suck amperage like its going out of style. (Thiel cs2.4's)

So how is it my amp can run 60 amps if my wall outlet is only rated at 20? Is this reserve amps held by the transformer?
And if my power conditioner is rated at 45 amps then am I shortchanging myself by running my amp through it?
And If all this is true then why aren't I throwing the circuit breaker all the time when the system is cranked up?

Again, I'm slow, so use small words so I can understand ;)
last_lemming
Post removed 
To clarify: The 60 amps figure of the amplifier is not how much current the amp can produce driving the speaker. If it were, we could apply the power formula, which is that Power equals the current squared times the resistance of the load.

So if we give the amp the benefit of the doubt and use a 1 ohm load, that means that the power output of the amp is 60 amps squared; 3600 watts! Obviously the amp can't do that, what this 60 amp number represents is how much current is produced when the power supplies are shorted out for 10 milliseconds, something that you would never, ever want to do!

So this has little to do with whether the amp can make a lot of 'current' when driving low impedance loads. I know of several tube amps that don't make nearly the same power than tout the same figure.
To further clarify.

When you look at a "current rating" spec you need to know at least two things:

(1) At what voltage is the current being specified.

(2) Is the rating CONTINUOUS or transient.

The ratings on wall power are usually continuous maximums (in root mean square or RMS) and are at your line voltage of 120 V AC.

The 60 amp rating for a power amp like the Parasound are TRANSIENT, good for only a very short time and at a voltage much lower than your line power levels.

Make no mistake, if that A21 tried to output 60 amps for more than a few milliseconds, fuses would blow.

In the old days, manufacturers were required to avoid transient power/voltage/current specs because they can be so misleading for consumers. Only RMS continuous specs were allowed to be published.
Watts = Volts * Amps

Never heard of an amplifier rated in "amps per channel" before.