Mass Generation in Three Dimensions

Details Mass Generation in Three Dimensions Mass Generation in Three Dimensions

1994-12-06

arxiv.org/abs/hep-th/9412049v2

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, LaTeX, 5 postscript figures available upon request (the previous LaTex file turned out to be incomplete)

Scientific paper

I 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 $m_{\rm Higgs}/m_W$.

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