Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-10-02
Phys.Rev.D55:6274-6286,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
33 pages, LaTex with RevTex, 15 figures in embeded postscript (epsf)
Scientific paper
10.1103/PhysRevD.55.6274
Gauge theories broken by a single Higgs field are known to have first-order phase transitions in temperature if $\lambda/g^2 \ll 1$, where $g$ is the gauge coupling and $\lambda$ the Higgs self-coupling. If the theory is extended from one to $N$ Higgs doublets, with U($N$) flavor symmetry, the transition is known to be second order for $\lambda/g^2 \gtrsim 1$ in the $N\to\infty$ limit. We show that one can in principal compute the tricritical value of $\lambda/g^2$, separating first from second-order transitions, to any order in $1/N$. In particular, scalar fluctuations at the transition damp away the usual problems with the infrared behavior of high-temperature non-Abelian gauge theories. We explicitly compute the tricritical value of $\lambda/g^2$ for U(1) and SU(2) gauge theory to next-to-leading order in $1/N$.
Arnold Peter
Wright David
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