There are two different "Created By" fields, one for all items and one specifically for document libraries ("Document Created By"). The internal name for the "Created By" field is "Author", so <FieldRef Name='Author'/>
would be the best start. The second field, which is the author of the actual file in a document library, has an internal name of "Created_x0020_By". Judging from your scenario I have a feeling you'll only need the former, but the latter is good to know anyway, because the data stored in them is different.
"Created By" is a user field, so the string version of its data is ID;#Full Name
. Meanwhile, "Document Created By" is a text field for a single line of text, and its data is stored as the actual username (with domain, if applicable). So your above query would work in the case of a document library and searching on <FieldRef Name='Created_x0020_By'/>
. If you wanted to search on the "Created By" field, however, you'll have to be a bit trickier, but you should be able to accomplish it by referencing the user's SharePoint ID. The following is an example of a different User field query that I am using, for comparison.
<Eq><FieldRef Name='AssignedTo' /><Value Type='Integer'><UserID Type='Integer' /></Value></Eq>
This specifically filtered out the current user. To use it for your purposes, replace 'AssignedTo' with 'Author' and <UserID Type='Integer' />
with the ID of the user in question.