not to be confused with Wigner's theorem
physics, mathematical physics, philosophy of physics
theory (physics), model (physics)
experiment, measurement, computable physics
Axiomatizations
Tools
Structural phenomena
Types of quantum field thories
geometric representation theory
representation, 2-representation, ∞-representation
Grothendieck group, lambda-ring, symmetric function, formal group
principal bundle, torsor, vector bundle, Atiyah Lie algebroid
Eilenberg-Moore category, algebra over an operad, actegory, crossed module
Be?linson-Bernstein localization?
The identification of particle species with irreducible unitary representations of the symmetry group acting on matter fields over spacetime. Named after Eugene Wigner.
For details see at
It uses a method that goes back to Frobenius and came to be known as “Wigner’s little group method” or the “Mackey machine” (Mackey 68).
The original article is
The observation that Wigner’s representations are those for which all the maps are measurable and their correspondence of irreducible unitary representations to induced representations of irreps of the stabilizer group of a given momentum is due to
Review:
Bert Schroer: Wigner Representation Theory of the Poincaré Group, Localization, Statistics and the S-Matrix, Nucl. Phys. B 499 (1997) 519-546 [arXiv:hep-th/9608092, doi:10.1016/S0550-3213(97)00358-1]
Norbert Straumann: Unitary Representations of the inhomogeneous Lorentz Group and their Significance in Quantum Physics, talk at Space and Time 100 Years after Minkowski 7-12 September 2008, [arXiv:0809.4942]
Wikipedia, Wigner’s classification
See also:
Last revised on October 5, 2024 at 10:23:28. See the history of this page for a list of all contributions to it.