I am not a greenhorn nor a beginner as the site says.
The former (greenhorn) is based on the number of posts you have (despite the lack of connection); the latter you can change in your profile if desired.
That's Windows Indexing. The "problem" hasn't gone away, indexing is simply finished for the moment. You can disable Windows Indexing Service if you don't need it.
Actually, The default (built-in) Windows Indexing service is cisvc.exe (Content Index Service) and cidaemon.exe (Indexing Service Filter Daemon) on Windows XP; SearchProtocolHost.exe/SearchIndexer.exe are part of Windows Search, which comes with Vista and 7, but is installed separately on XP, as a product called "Windows Desktop Search" (None of my machines running XP have "Searchprotocolhost.exe" for example, because I never installed that) It is basically a more advanced version of the indexing service that XP already has (or it facilitates it, Not sure).
I make note of this because if Windows Desktop Search is not installed on an XP machine and there is a SearchIndexer.exe or Searchprotocolhost.exe running, particularly if it's stealing CPU cycles, it could be malware. I'm not sure if Windows Desktop search is pushed by Windows Update.