Three-FlavorColor SuperconductivityDissertationzur Erlangung des Doktorgradesder Naturwissenschaftenvorgelegt beim Fachbereich Physikder Johann Wolfgang Goethe-Universit¨atin Frankfurt am MainvonHossein Malekzadehaus dem IranFrankfurt am Main, Dezember 2007(D 30)2vom Fachbereich Physik der Johann Wolfgang Goethe–Universit¨atals Dissertation angenommen.Dekan: Prof. Dr. W. AßmusGutachter: Prof. Dr. D.-H. Rischke, Prof. Dr. Adrian DumitruDatum der Disputation: Dezember 7, 2007.AcknowledgementsI would like to express my special thanks to Prof. Dirk Rischke for all the generous supportsthat during my Ph.D thesis he gave mentally and practically to me. I learned a lot of thingsfrom him which will be certainly very useful for me in future as well. Without his helps andencouragements it would be difficult to come to the end of this thesis. Thank you Dirk!I am also very grateful to Prof. Igor Shovkovy for very instructive discussions we had. Hewas the one who taught this stimulating field to me. Also, I had a lot of fun with him duringlunch breaks and in other occasions.Since I wanted to take ten watermelons with my tow hands, I needed to work harder. Onotherwords,alongmyPh.Dthesis,Iwantedtoworkonotherfieldsaswell,althoughtheprojectwere not published. I had great times when I was collaborating with Prof. Adrian Dumitruand Prof. Michael Strickland. I thank both of you for teaching me those fascinating topics. Ialso had a wonderful chance to talk to Prof.