Is there a specific name for the emotion I'm feeling?
This sounds a little bit like a mild form of Depersonalization.  From Wikipedia: 


  The core symptom of depersonalization disorder is the subjective experience of "unreality in one's sense of self", and as such there are no clinical signs. People who are diagnosed with depersonalization also experience an almost uncontrollable urge to question and think about the nature of reality and existence as well as other deeply philosophical questions.
  Individuals who experience depersonalization can feel divorced from their own personal physicality by sensing their body sensations, feelings, emotions and behaviors as not belonging to the same person or identity. Also, a recognition of self breaks down (hence the name). Depersonalization can result in very high anxiety levels, which can intensify these perceptions even further.
  Common descriptions: Feeling disconnected from one's physicality; feeling like one is not completely occupying the body; not feeling in control of one's speech or physical movements; and feeling detached from one's own thoughts or emotions; experiencing one's self and life from a distance; a sense of just going through the motions; feeling as though one is in a dream or movie; feeling "weird" being alive; and even out-of-body experiences.  


Does the above describe your feelings?  

If so, you may want to talk to a professional, play sports, and lower your overall anxiety levels.