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Hace 2 días · Weyl brought the early period of the development of the theory of Lie groups to fruition, for not only did he classify irreducible representations of semisimple Lie groups and connect the theory of groups with quantum mechanics, but he also put Lie's theory itself on firmer footing by clearly enunciating the distinction between Lie's infinitesimal groups (i.e., Lie algebras) and the Lie groups ...
Hace 4 días · Lattice gauge theory can be used to construct many models of quantum fields that we don't know how to construct in smooth spacetime. In lattice gauge theory with gauged group G, a gauge field is described using G-valued link variables associated with the links in the lattice, or more generally with the edges in a graph. The graph is meant to be ...
Hace 2 días · Weyl theory. In the massless case =, the Dirac equation reduces to the Weyl equation, which describes relativistic massless spin-1 ⁄ 2 particles. The theory acquires a second () symmetry: see below. Physical interpretation Identification of observables
Hace 2 días · We derive constraints on the four dimensional energy-momentum tensor from gravitational and gauge anomalies. Our work can be considered an extension of Duff’s analysis [1] to include parity-odd terms and explicit symmetry breaking. The constraints imply the absence of the parity-odd R R ~ $$ R\\overset{\\sim }{R} $$ and F F ~ $$ F\\overset{\\sim }{F} $$ terms, for theories whose symmetries ...
Hace 2 días · A TWO MANIFOLD AND CHERN SIMONS GAUGE THEORY JONATHAN WEITSMAN ABSTRACT. We use recent progress on Chern-Simons gauge theory in three dimensions [18] to give explicit, closed form formulas for the star product on some functions on the affine spaceA(Σ) of (smooth) connections on the trivialized principal G-bundle on a com-
Hace 6 días · In particle physics, a magnetic monopole is a hypothetical elementary particle that is an isolated magnet with only one magnetic pole (a north pole without a south pole or vice versa). [1] [2] A magnetic monopole would have a net north or south "magnetic charge". Modern interest in the concept stems from particle theories, notably the grand ...
Hace 3 días · Building on the earlier foundational work of Sophus Lie, Elie Cartan, Emmy Noether and Hermann Weyl, this theory was vital in twentieth century physics because 4-dimensional space-time, the equations of the quantum atom, and the strong nuclear force all have connected symmetry groups.
