2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149176I consider the dilute monopole gas expansion of the three dimensional Yang-Mills-Higgs system in the symmetry broken phase. The functional determinants which occur in such an expansion are computed in the heat kernel approximation for an arbitrary $SU(N)$ gauge group. Explicit expressions for the gauge boson mass in the unbroken gauge sector and the string tension are obtained for the $SU(2)$ gauge model and are evaluated numerically. The results show a strong dependence on the ratio $m_{\rm Higgs}/m_W$.28 pages, LaTeX, 5 postscript figures available upon request (the previous LaTex file turned out to be incomplete)High Energy Physics - Theorytext