Phys : Seminars / 23.07.2013 - Tuna Yıldırım : Topologically Massive Yang-Mills Theory and Link Invariants

Topologically Massive Yang-Mills Theory and Link Invariants

Tuna Yıldırım
Dept. Physics and Astronomy, University of Iowa, USA
23 July 2013, Tuesday, 14:40
Cavid Erginsoy Seminar Room, Physics Department, 3rd floor

Abstract: 2+1 dimensional gauge theories have been an important theoretical testing ground for new ideas that could potentially be used in 3+1D. After three decades, a good understanding of 2+1D non-Abelian gauge theories still seems out of reach. Many think that using link invariants of knot theory may lead to a better understanding of these theories. With this motivation, we study Chern-Simons(CS) + Yang-Mills theory, also known as topologically massive Yang-Mills theory(TMYM). Using geometric quantization, we calculate the wave-functional for TMYM theory in order to get Wilson Loop expectation values. Then, at large distances where only a topological theory survives, we compare CS and TMYM Wilson Loop expectation values to get a condition that can make Skein relations of knot theory useful for TMYM theory. Furthermore, we study the TMYM Hamiltonian and finally we comment on the mass gap of the theory.

Presentation file of the seminar

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