One-eyed pilot?

I'm thinking about taking flying lessons, but I have a condition in one
of my eyes that may cause me to fail the medical.

As I understand it, the 3rd class medical requires 20/40 in "each eye
separately". I have a condition in the optic nerve of my left eye that
limits its detailed vision. I still have good peripheral vision in that
eye, but I have trouble using it to read. With the standard eye test
charts, I have trouble with all but the largest letters. The other eye
is fine.

I have had this condition for several years and it seems to be
non-progressive.

Will this prevent my getting a medical certificate, or can I get a
waiver?

-Robert