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\begin{document}


\noindent
\hspace*{-36mm}
\includegraphics[scale=1.01,clip]{./hintergrund}


\vspace*{-1140mm}

\vspace{-45mm}
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%% Titel
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\fcolorbox{white}{white}
{
  \begin{minipage}[b]{400mm}
    \begin{center}
      \vspace*{10mm}
       \Huge{\sf
	\textcolor{cyan}{\bf Condensation in two flavor scalar electrodynamics with non-degenerate quark masses}}\\[7mm]
	\Large{\bf{Alexander Schmidt} \sf{, Philippe de Forcrand, Christof Gattringer} \\ \sf{\large University of Graz}}\\\vspace{-1cm}
    \end{center}
   \vspace*{1cm}
  \end{minipage}
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\vspace{1.5cm}

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%%%%%%%%%%%%%%%%%%%%%%%%%% Chapter %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%   \begin{minipage}[b]{350mm}
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%       \vspace*{7mm}
%       \large \centering{\textcolor{black}{\LARGE\sf \bf{U(1) Lattice Gauge-Higgs Model}}}
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%     \vspace*{1mm}
%   \end{minipage}
% }

\large \centering{\textcolor{cyan}{\LARGE\sf Action}}

\vspace{1.0cm}

\begin{minipage}[b]{350mm}

  The {\bf continuum action} of scalar electrodynamics is given by
  \begin{equation}
    S = \int{d^4x} \left(\frac{1}{4} |F_{\mu \nu}|^2 + |(\partial_\mu + ieA_\mu)\phi|^2 + m^2(\phi^* \phi) + \lambda(\phi^* \phi)^2\right) \quad , 
  \end{equation}
  where $e$ is the gauge coupling, $m$ the mass of the complex scalar $\phi$ and $\lambda$ the Higgs coupling constant.

  \vspace{1cm}

  In the conventional notation the {\bf lattice action} is given by (the lattice constant is set to $a=1$)
  \begin{eqnarray}
    S &=& S_G[U] + S_H[U,\phi] \label{latac} \\ \nonumber \\
    S_G &=& -\beta \sum_{x,\nu < \rho} \Re{\left(U_{\nu\rho}(x)\right)}, \quad \beta=\frac{1}{2e^2} \nonumber \\ \nonumber \\
    S_H &=& \sum_x \left[- \frac{1}{2} \sum_{\mu=1}^4 \left( \phi(x)^* U_\mu(x) \phi(x+\hat{\mu}) + \phi(x)^* U_\mu(x-\hat{\mu})^*\phi(x-\hat{\mu})\right) \right . \nonumber \\ 
    && \quad\quad\;\, + \left . \kappa \phi(x)^*\phi(x) + \lambda\left(\phi(x)^*\phi(x)\right)^2 \right], \quad \kappa = \frac{m^2+8}{2} \nonumber \quad . \nonumber
  \end{eqnarray} 

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\vspace{-24pt}
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\vspace{2.0cm}

%%%%%%%%%%%%%%%%%%%%%%%%%% Acknowledgments %%%%%%%%%%%%%%%%%%%%%%%%%%%%

\hrule
\vspace{1.0cm}
\large \centering{\textcolor{cyan}{\Large\sf Acknowledgments}}

\vspace{1.0cm}

\begin{minipage}[b]{350mm}
This work was supported by the Austrian Science Fund, FWF, through the Doctoral
Program on {\it Hadrons in Vacuum, Nuclei, and Stars} (FWF DK W1203-N16).
\end{minipage}

%%%%%%%%%%%%%%%%%%%%%%%%%% References %%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\hrule
\vspace{1.7cm}
\large \centering{\textcolor{cyan}{\Large\sf References}}

\vspace{1.0cm}

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    \begin{multicols}{2}

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\footnotesize
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	\end{multicols}\vspace{-24pt}
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