A Finite-Size Magnetic Monopole in Double-Potential Formalism

1997 ◽  
Vol 12 (29) ◽  
pp. 2203-2211
Author(s):  
Oleg Lebedev
Keyword(s):  
Angular Momentum ◽  
Uniform Distribution ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Bianchi Identity ◽  
Finite Size ◽  
Momentum Operator ◽  
Angular Momentum Operator ◽  
Potential Formalism

Using the double-potential formalism developed by Zwanziger, it is possible to construct nonsingular four-potentials corresponding to a given distribution of magnetic charge without violating the Bianchi identity. In this letter, we study a ball-like monopole with uniform distribution of magnetic charge. The corresponding four-potentials are found explicitly. We also construct the angular momentum operator of an electron in the field of such a monopole, which can be used to investigate the problem of electron-monopole scattering and to rectify Kazama–Yang–Goldhaber singularity.

scholarly journals GLUEBALL SPIN

2001 ◽  
Vol 16 (01) ◽  
pp. 41-51
Author(s):  
D. SINGLETON
Keyword(s):  
Angular Momentum ◽  
Orbital Angular Momentum ◽  
Momentum Operator ◽  
Angular Momentum Operator ◽  
Total Field ◽  
Expectation Value ◽  
Starting Point ◽  
Simplifying Assumptions

The spin of a glueball is usually taken as coming from the spin (and possibly the orbital angular momentum) of its constituent gluons. In light of the difficulties in accounting for the spin of the proton from its constituent quarks, the spin of glueballs is re-examined. The starting point is the fundamental QCD field angular momentum operator written in terms of the chromoelectric and chromomagnetic fields. First, we look at the possible restrictions placed on the structure of glueballs from the requirement that the QCD field angular momentum operator should satisfy the standard commutation relationships. This analysis can be compared to the electromagnetic charge/monopole system, where the requirement that the total field angular momentum obey the angular momentum commutation relationships places restrictions (i.e. the Dirac condition) on the system. Second, we look at the expectation value of the field angular momentum operator under some simplifying assumptions.

A MODEL OF MEMBRANE WITH FRACTIONAL SPIN AND UNUSUAL STATISTICS

1991 ◽  
Vol 06 (06) ◽  
pp. 935-954 ◽  
Author(s):  
SHIGEAKI YAHIKOZAWA
Keyword(s):  
Angular Momentum ◽  
Size Effects ◽  
Finite Size ◽  
Angular Momentum Operator ◽  
Constrained System ◽  
Finite Size Effects ◽  
World Volume ◽  
The World ◽  
The Relationship ◽  
Chern Simons

We present a model of membrane with fractional world-volume spin and exotic statistics. The model is constructed by coupling the bosonic membrane to the world-volume U(1) Chern-Simons term. Dirac’s method for the constrained system is used to quantize this theory and to show that the membrane has exotic statistics. We also evaluate finite size effects and clarify the relationship between a conserved charge in space-time and an angular-momentum operator on a world-volume.

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