You can change your display name (as per the post below about using the G+ account name, or by going into your Blogger profile and changing it there if you are not using Google+).
But you cannot change your underlying google account name if it is a gmail-name, eg firstname.lastname@example.org
One option is to set up a new Google account with a name that matches the blog's name, and transfer ownership of the blog to this new account. To transfer ownership, first you give the new account author rights, then upgrade it to be an administrator.
If you do choose to use the ownership transfer approach, be aware that you may have many other things to change (comments notification, photo ownership, etc). You need to consider how your blog is set up and what is required:- I've outlined as many potential issues as i've found here: http://blogger-hints-and-tips.blogspot.com/2010/01/transferring-blog-ownership.html