How does the author relate Chillingworth's and Dimmesdale's physical appearances to their mental, emotional, or moral states in The Scarlet Letter?

A good place to start
in answering this question would be Chapter Ten, entitled "The Leech and his Patient."
This gives us a real insight into both of these twoand the way that their appearance is shaped
by what is going on within them.

Note how 's eyes are referred to in a
frightening, almost supernatural way as he engages in his work as a "miner":

Sometimes, a light glimmered out of the physician's eyes, burning
blue and ominous, like the reflection of a furnace, or, let us say, like one of those gleams of
ghastly fire that darted from Bunyan's awful doorway in the...