Abstract
We apply dimensional reduction to the finite temperature U(1)+Higgs theory and study the properties of the reduced 3-dimensional theory in the broken phase using lattice Monte Carlo simulations. We compute analytically the scalar condensate in optimized 2-loop perturbation theory and the correlators in 1-loop perturbation theory. These quantities are also calculated numerically. The two results for the condensate agree well but a 25% difference is observed for the scalar correlator, indicating the need for optimized 2-loop perturbative results.
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Karjalainen, M., Peisa, J. Dimensionally reduced U(1)+Higgs theory in the broken phase. Z Phys C - Particles and Fields 76, 319–326 (1997). https://doi.org/10.1007/s002880050556
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DOI: https://doi.org/10.1007/s002880050556