We survey certain accessible aspects of Grothendieck's theory of motives in arithmetic algebraic geometry for mathematical physicists, focussing on areas that have recently found applications in quantum field theory. An appendix (by Matilde Marcolli) sketches further connections between motivic theory and theoretical physics.
- Pub Date:
- July 2009
- High Energy Physics - Theory;
- Mathematical Physics
- LaTeX 35 pages, article by Abhijnan Rej with an appendix by M.Marcolli. Version II/Final: cosmetic changes to bibliography, added a small subsection on triangulated categories to section 6. Accepted for publication in the MPIM-Bonn "Renormalization, combinatorics and physics" proceedings volume