Matrix Realization of Gauge Theory on Discrete Group Z 2
نویسنده
چکیده
We construct a 2×2 matrix algebra as representation of functions on discrete group Z2 and develop the gauge theory on discrete group proposed by Starz in the matrix algebra. Accordingly, we show that the non-commutative geometry model built by R.Conquereax, G.Esposito-Farese and G.Vaillant results from this approach directly. For the purpose of Physical model building, we introduce a free fermion Lagrangian on M4 × Z2 and study Yang-Mills like gauge theory.
منابع مشابه
Gauge Theory Formulation of the C = 1 Matrix Model : Symmetries and Discrete States
We present a non-relativistic fermionic field theory in 2-dimensions coupled to external gauge fields. The singlet sector of the c = 1 matrix model corresponds to a specific external gauge field. The gauge theory is one-dimensional (time) and the space coordinate is treated as a group index. The generators of the gauge algebra are polynomials in the single particle momentum and position operato...
متن کاملM - Theory and U - duality on T d with Gauge Backgrounds
The full U-duality symmetry of toroidally compactified M-theory can only be displayed by allowing non-rectangular tori with expectation values of the gauge fields. We construct an Ed(Z ) U-duality invariant mass formula incorporating non-vanishing gauge backgrounds of the M-theory three-form C. We interpret this mass formula from the point of view of the Matrix gauge theory, and identify the co...
متن کاملRabi lattice models with discrete gauge symmetry: Phase diagram and implementation in trapped-ion quantum simulators
We study a spin-boson chain that exhibits a localZ2 symmetry. We investigate the quantum phase diagram of the model by means of perturbation theory, mean-field theory, and the density matrix renormalization group method. Our calculations show the existence of a first-order phase transition in the region where the boson quantum dynamics is slow compared to the spin-spin interactions. Our model c...
متن کاملDomain Walls, Z(n) Charge and a 0 Condensate: a Canonical Ensemble Study
The deconfinement phase transition is studied in the ensemble canonical with respect to triality. Since this ensemble implies a projection to the zero triality sector of the theory we introduce a quantity which is insensitive to Z(N c) symmetry but can reveal a critical behaviour in the theory with dy-namical quarks. Further, we argue that in the canonical ensemble description of full QCD there...
متن کاملar X iv : h ep - t h / 98 12 13 9 v 1 1 6 D ec 1 99 8 U - duality and M - theory , an algebraic approach ∗
Based on our work [1], we discuss how U-duality arises as an exact symmetry of M-theory from T-duality and 11D diffeomorphism invariance. A set of Weyl generators are shown to realize the Weyl group of SO(d, d,Z) and Ed(d)(Z), while Borel generators extend these finite groups into the full Tand U-duality groups. We discuss how the BPS states fall into various representations, and obtain duality...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1994