Weblog clients cannot retrieve posts: An invalid hexadecimal character (0x7) was found in the element content of the document

If you run your page through validator it detects said broken characters as errors:

Line 107, Column 116: non SGML character number 7
…or growth and convergence. Historians (Kennedy 1989) and international relat…

I can actually see them on page in Opera v12, but not Chrome.

Since your page source and web server advertise UTF-8, my guess is that these very well might be corrupt and saved as such in your content in database.

It might have been caused by migration or serve misconfiguration. Unfortunately there is no generic solution to this, or much that WP can help with to resolve it. You might end up to have to just clean it up manually or semi–manually with help of search/replace tools.