Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-13
JHEP 0601:145,2006
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 1 figure
Scientific paper
10.1088/1126-6708/2006/01/145
We address the question of defining the second quantised monopole creation operator in the 3+1 dimensional Georgi-Glashow model, and calculating its expectation value in the confining phase. Our calculation is performed directly in the continuum theory within the framework of perturbation theory. We find that, although it is possible to define the "coherent state" operator M(x) that creates the Coulomb magnetic field, the dependence of this operator on the Dirac string does not disappear even in the nonabelian theory. This is due to the presence of the charged fields (W^{\pm}). We also set up the calculation of the expectation value of this operator in the confining phase and show that it is not singular along the Dirac string. We find that in the leading order of the perturbation theory the VEV vanishes as a power of the volume of the system. This is in accordance with our naive expectation. We expect that nonperturbative effects will introduce an effective infrared cutoff on the calculation making the VEV finite.
Khvedelidze Arsen
Kovner Alex
McMullan David
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