FONDASI MATEMATIS TEORI TERA: KAJIAN TENTANG UNTINGAN SERAT, KONEKSI DAN KELENGKUNGAN

• Main Authors: , LALU MUHAMMAD ABDI ZAMAKHSYARI, , Dr.rer.nat. Muhammad Farchani Rosyid
• Format: Theses and Dissertations NonPeerReviewed
• Published: [Yogyakarta] : Universitas Gadjah Mada 2014
• Subjects: ETD
• Online Access: https://repository.ugm.ac.id/131335/; http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=71790
• Institution: Universitas Gadjah Mada

The mathematical foundations of gauge theory has been studied. The aspects that has been explained is fiber bundle, connection, and curvature. The fiber bundle formalism used generalization of manifold that has been endowed with calculus structure on it. The principal fiber bundle as one of the fiber bundle is the representation of gauge theory. In principal fiber bundle, connection is built as distribution of horizontal tangent vector. After that, connection is interpreted as Lie algebra-valued 1-form on principal fiber bundle to get the local picture of connection in base manifold. Later on, the concept of horizontal curve on principal fiber bundle is built to define parallel transport. By using parallel transport, it can be defined the covariant derivative of principal fiber bundle�s section. The covariant derivative then generalized to exterior covariant derivative in principal fiber bundle and use to defined curvature as the Lie algebra-valued 2-form.