Gauge invariance and hadron structure

We prove that the {\em gauge dependent} gluon spin, gluon and quark orbital angular momenta operators have {\em gauge invariant} expectation values on hadron states with {\em definite} momentum and polarization, therefore the conventional decomposition of nucleon spin into contributions from the spin and orbital angular momentum of quark and gluon is {\em gauge independent}. Similar conclusions apply to the {\em gauge dependent} quark momentum and kinetic energy operators, and accordingly nucleon momentum and mass structures.Comment: This revised version gives a complete, comprehensive proof of our conclusion, and explains why the specific calculations of Hoodbhoy, Ji and Lu (hep-ph/9808305) do not necessarily contradict our theore

A quantum-copying machine for equatorial qubits

Bu\v{z}ek and Hillery proposed a universal quantum-copying machine (UQCM) (i.e., transformation) to analyze the possibility of cloning arbitrary states. The UQCM copies quantum-mechanical states with the quality of its output does not depend on the input. We propose a slightly different transformation to analyze a restricted set of input states. We impose the conditions (I) the density matrices of the two output states are the same, and that (II) the distance between input density operator and the output density operators is input state independent. Using Hilbert-Schmidt norm and Bures fidelity, we show that our transformation can achieves the bound of the fidelity.Comment: Latex file, 11 page

Spin content of the nucleon in a valence and sea quark mixing model

A dynamical valence and sea quark mixing model is shown to fit the baryon ground state properties as well as the spin content of the nucleon. The relativistic correction and the $q^3{\leftrightarrow} q^3q\bar{q}$ transition terms induced by the quark axial vector current $\bar{\psi}\vec{\gamma}\gamma^5\psi$ in this model space is responsible for the quark spin reduction.Comment: 11 pages, Latex, one figure, to be published in Phys. Rev. C5

Prototype of Readout Electronics for the ED in LHAASO KM2A

The KM2A(one kilometer square extensive air shower array) is the largest detector array in the LHAA- SO(Large High Altitude Air Shower Observatory) project. The KM2A consists of 5635 EDs(Electromagnetic particle Detectors) and 1221 MDs(Muon Detectors). The EDs are distributed and exposed in the wild. Two channels, Anode and Dynode, are employed for the PMT(photomultiplier tube) signal readout. The readout electronics proposed in this paper aims at the accurate charge and arrival time measurement of the PMT signals, which cover a large amplitude range from 20P.E(photoelectrons) to 2x10^5 P.E. By using the Trigger-less architecture, we digitize signals close to the PMTs. All digitized data is transmitted to DAQ(Data Acquisition) via the simplified WR(White Rabbit) protocol. Compared with traditional high energy experiments, high-precision of time measurement in such a large area and suppression of temperature effects in the wild become the key techniques. Experiments show that the design has fulfilled the requirements in this project.Comment: 6 pages, 12 figure

Some Problems in Defining Functional Integration over the Gauge Group

We find that sometimes the usual definition of functional integration over the gauge group through limiting process may have internal difficulties.Comment: 2 pages revtex, no figur

A Note on Functional Integral over the Local Gauge Group

We evaluated some particular type of functional integral over the local gauge group C^{\infty}({\bf R}^n, U(1)) by going to a discretized lattice. The results explicitly violates the property of the Haar measure. We also analysed the Faddeev-Popov method through a toy example. The results also violates the property of the Haar measure.Comment: 7 pages, Revte

A Note on Invariant Measure on the Local Gauge Group

In this paper we investigated the problem of the existence of invariant meaures on the local gauge group. We prove that it is impossible to define a {\it finite} translationally invariant measure on the local gauge group $C^{\infty}({\bf R}^n,G)$(where $G$ is an arbitrary matrix Lie group).Comment: 4 pages, REVTE

Dynamics of Josephson junction systems in the computational subspace

The quantum dynamics of the Josephson junction system in the computational subspace is investigated. A scheme for the controlled not operation is given for two capasitively coupled SQUIDs. In this system, there is no systematic error for the two qubit operation. For the inductively coupled SQUIDs, the effective Hamiltonian causes systematic errors in the computational subspace for the two qubit operation. Using the purterbation theory, we construct a more precise effective Hamiltonian. This new effective Hamiltonian reduces the systematic error to the level much lower than the threshold of the fault resilent quantum computation

Quantization of gauge theory for gauge dependent operators

Based on a canonically derived path integral formalism, we demonstrate that the perturbative calculation of the matrix element for gauge dependent operators has crucial difference from that for gauge invariant ones. For a gauge dependent operator ${\cal O}(\phi)$ what appears in the Feynman diagrams is not ${\cal O} (\phi)$ itself, but the gauge-transformed one ${\cal O}(^\omega \phi)$, where $\omega$ characterizes the specific gauge transformation which brings any field variable into the particular gauge which we have adopted to quantize the gauge theory using the canonical method. The study of the matrix element of gauge dependent operators also reveals that the formal path integral formalism for gauge theory is not always reliable.Comment: 4 pages revtex, no figure, multicol styl

A universal cloner allowing the input to be arbitrary states in symmetric subspace

A generalized universal quantum cloning machine is proposed which allows the input to be arbitrary states in symmetric subspace. And it reduces to the universal quantum cloning machine (UQCM) if the input are identical pure states. The generalized cloner is optimal in the sense we compare the input and output reduced density operators at a single qubit. The result for qubits is extended to arbitrary-dimensional states.Comment: Revtex, 5 page