On the Gauss Law and Global Charge for QCD
نویسنده
چکیده
The local Gauss law of quantum chromodynamics on a finite lattice is investigated. It is shown that it implies a gauge invariant, additive law giving rise to a gauge invariant Z3-valued global charge in QCD. The total charge contained in a region of the lattice is equal to the flux through its boundary of a certain Z3-valued, additive quantity. Implications for continuous QCD are discussed.
منابع مشابه
Charge Superselection Sectors for QCD on the Lattice
We study quantum chromodynamics (QCD) on a finite lattice Λ in the Hamiltonian approach. First, we present the field algebra AΛ as comprising a gluonic part, with basic building block being the crossed product C∗-algebra C(G) ⊗α G, and a fermionic (CAR-algebra) part generated by the quark fields. By classical arguments, AΛ has a unique (up to unitary equivalence) irreducible representation. Nex...
متن کاملQCD on an infinite lattice
We construct a mathematically well–defined framework for the kinematics of Hamiltonian QCD on an infinite lattice in R3, and it is done in a C*-algebraic context. This is based on the finite lattice model for Hamiltonian QCD developed by Kijowski, Rudolph e.a. (cf. [22]). To extend this model to an infinite lattice, we need to take an infinite tensor product of nonunital C*-algebras, which is a...
متن کاملGlobal Constraints of Gauss’ Law and the Solution to the Strong Cp Problem
This is a brief review on the work done recently. It is shown that the global constraints of Gauss’ law ensure that the vacuum angle must be quantized in gauge theories with magnetic monopoles. Our quantization rule is given as θ = 0, or θ = 2πN/n (n 6= 0) with integer n being the relevant topological charge of the magnetic monopole and N is an unfixed integer in this approach. This theoretical...
متن کاملModeling Magnetic Field in Heavy ion Collisions Using Two Different Nuclear Charge Density Distributions
By studying the properties of matter during heavy-ion collisions, a better understanding of the Quark-Gluon plasma is possible. One of the main areas of this study is the calculation of the magnetic field, particularly how the values of conductivity affects this field and how the field strength changes with proper time. In matching the theoretical calculations with results obtained in lab, two diffe...
متن کاملTopological Invariant Variables in Qcd
We show that the class of functions of topologically nontrivial gauge transformations in QCD includes a zero-mode of the Gauss law constraint. The equivalent unconstrained system compatible with Feynman's integral is derived in terms of topological invariant variables, where the zero-mode is identified with the winding number collective variable and leads to the dominance of the Wu-Yang monopol...
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 2008