No abstract

No abstract

Line vortices arising in the Ginzburg-Landau or Abelian Higgs model are studied numerically. For a wide range of parameters simulations of parallel line vortices and antivortices were performed and the results are reported. The head-on 90" scattering is demonstrated to be independent of initial conditions provided that the vortex zeros first completely overlap. For critically coupled vortices the scattering behavior seems to be approximately velocity independent until P-0.4 and the collisions are approximately elastic until P-0.3. This suggests that higher-order modes arising from the collisions are not excited until 6-0.3. When vortices and antivortices collide at highly relativistic speeds (P-0.9) it is found that the direction into which they reform depends upon the coupling constant. The metric on the moduli space M 2 is calculated from its field-kinetic definition. The scattering angles directly calculated from the metric components are shown to agree with the numerical simulations. The nontrivial forms of the components are discussed in relation to the scattering results.

Articles you may be interested in (I.) applications of mathematical methods and models in sciences and engineering AIP Conf.

No abstract

No abstract

It is shown that the energy of the vacuum obtained by functional methods as the one-loop quantum effective potential may be interpreted as the sum over zero-point energies of the quantum modes of the fields provided that f(0), the scale dependence of the quadratic variation of the action, vanishes. This scale dependence does not vanish when one-loop renormalization counterterms are induced in the action by a scale transformation, in which case one has to add to the sum over zero-point energies a term proportional to f (0) to get the correct energy of the vacuum.

No abstract