Photography

focal length should always be focal length (unless it's labeled specifically as "equivalent focal length")

... and people say that 50-55mm is the focal length of the human eye.

nit pick here: people say a 50mm equivalent is the focal length of the human eye (and only some people... others will say 35mm... others have very different answers because the eye and brain do not perceive the world the same way a camera does... it's an age old debate and doesn't have an exact answer, I digress... I'll come back to this at the end)

So when people say field of view of a 50mm on a full frame is the same as your eye, my first thought is 50mm on a full frame = 35mm on my camera

Yes

What i expect is no zoom at all but the objects look smaller in the vizor (so fov is higher)

Your viewfinder itself has a magnification to it. Many cameras have a viewfinder with something like a 0.7x magnification, which shrinks the image to your eye. You're not going to view the image on your viewfinder you're going to view it on a monitor or as a print... keep that in mind.

Are the numbers of focal lengths on my lens already multiplier by 1.5x ? So do i have to subdivide the numbers to get the full frame equivalent ?

Nope. If you take a 35mm lens made for your APS-C or a 35mm lens made for a full frame camera and put it on your camera... they'd have pretty much the same field of view.

Now here's the other thing about field of view: Look straight in front of you. Hold your hands out to either side with your fingers stretched out and slowly swing your arms forward in an arch to move them so they're in front of you. But do so slowly while looking straight ahead and keep moving your arms forward until you just start to see your hands come into your field of view. Odds are your arms are spread very wide... you'd nee a 10mm or so on your camera to photograph that wide an angle. But (assuming you still have your eyes straight forward and don't turn to look at your hands) your fingers are going to be a blurry mush. We have very wide peripheral vision but cannot really see that sharply out that far. Keep moving your arms forward until you can start to see your fingers individually... that's going to be a lot closer to that 35 or 50mm equivalent focal length. So the question of which focal length is "normal" really can't answer the way the human eye sees, but it's more about the area we tend to focus on in our day-to-day lives...