• Corpus ID: 14871993

Random Z(2) Higgs Lattice Gauge Theory in Three Dimensions and its Phase Structure

@article{Doi2009RandomZH,
  title={Random Z(2) Higgs Lattice Gauge Theory in Three Dimensions and its Phase Structure},
  author={Shunsuke Doi and Ryo Hamano and Teppei Kakisako and Keiko Takada and Tetsuo Matsui},
  journal={arXiv: Statistical Mechanics},
  year={2009}
}
We study the three-dimensional random Z(2) lattice gauge theory with Higgs field, which has the link Higgs coupling $c_1 SUS$ and the plaquette gauge coupling $c_2 UUUU$. The randomness is introduced by replacing $c_1 \to -c_1$ for each link with the probability $p_1$ and $c_2 \to -c_2$ for each plaquette with the probability $p_2$. We calculate the phase diagram by a new kind of mean field theory that does not assume the replica symmetry and also by Monte Carlo simulations. For the case $p_1… 

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