Parameter restrictions in a non-commutative geometry model do not survive standard quantum corrections
نویسندگان
چکیده
منابع مشابه
Supersymmetric Quantum Theory and Non-Commutative Geometry
Classical differential geometry can be encoded in spectral data, such as Connes’ spectral triples, involving supersymmetry algebras. In this paper, we formulate non-commutative geometry in terms of supersymmetric spectral data. This leads to generalizations of Connes’ non-commutative spin geometry encompassing noncommutative Riemannian, symplectic, complex-Hermitian and (Hyper-) Kähler geometry...
متن کاملQuantum Logic and Non-Commutative Geometry
We propose a general scheme for the “logic” of elementary propositions of physical systems, encompassing both classical and quantum cases, in the framework given by Non Commutative Geometry. It involves Baire*-algebras, the non-commutative version of measurable functions, arising as envelope of the C*-algebras identifying the topology of the (non-commutative) phase space. We outline some conseq...
متن کاملNon–Commutative Geometry on Quantum Phase–Space
A non–commutative analogue of the classical differential forms is constructed on the phase–space of an arbitrary quantum system. The non– commutative forms are universal and are related to the quantum mechanical dynamics in the same way as the classical forms are related to classical dynamics. They are constructed by applying the Weyl–Wigner symbol map to the differential envelope of the linear...
متن کاملCommutative Γ-rings Do Not Model All Commutative Ring Spectra
We show that the free E∞-algebra on a zero-cell cannot be modeled by a commutative Γ-ring. The proof shows that DyerLashof operations of positive degree must vanish on the zero’th homology of such an object.
متن کاملA Lorentzian version of the non-commutative geometry of the standard model of particle physics
A formulation of the non-commutative geometry for the standard model of particle physics with a Lorentzian signature metric is presented. The elimination of the fermion doubling in the Lorentzian
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 1993
ISSN: 0370-2693
DOI: 10.1016/0370-2693(93)91137-c