Phase Transition In $SU(N)\times U(1)$ Gauge Theory With Many Fundamental Bosons

Abstract

Here we study the Renormalization group flow of $SU(N)\times U(1)$ gauge theory with $M$-fundamental bosons in $4-\epsilon$ dimension by calculating the beta functions. We found a new stable fixed point in the zero mass plane for $M>M_{\text{crit}}$ by expanding upto $O(\epsilon )$. This indicates a second order phase transition. We also calculated the critical exponents in both $\epsilon$ expansion and also in the large-$M$ expansion.

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