Don't really know - what version of Java are you using? Try updating to the latest version. Download the JRE offline installer & remove any other versions of Java currently installed (thru Add/Remove Programs) before you install the new one.
Java SE Downloads

If you're already using the latest Java, install this older version & see whether that makes any difference. Same thing - download the JRE offline installer & remove any other Java versions before installing this older one.
Archive: Download Java 2 Platform Standard Edition (J2SE) 5.0 Update 11

If it's not fixed by changing Java, maybe it's a bug in the new version. You could try posting over at this other forum, you might get lucky & have an answer from a developer
Bugs and Beta Testing - LimeWire Forums