Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-09-06
PoSLAT2006:061,2006
Physics
High Energy Physics
High Energy Physics - Lattice
Lattice Conference, July 23-28, 2006 Tucson, Arizona, USA. 7 pages, 3 figures
Scientific paper
For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on $N_{\tau} N_s^3$ lattices for $N_{\tau}$ fixed and $N_s\to\infty$, approaching the phase transition from the confined phase. For $N_{\tau}=4$, 5 and 6 our data contradict the expected scenario that this transition is either first order or in the universality class of the 3d XY model. If there are no conceptional flaws in applying the argument that the Gaussian fixed point in 3d is unstable to our systems, estimates of the critical exponents $\alpha/\nu$, $\gamma/\nu$, $(1-\beta)/\nu$ and $2-\eta$ indicate the existence of a new, non-trivial renormalization group fixed point for second order phase transitions in 3d. Such a fixed point would be of importance for renormalization group theory and statistical physics.
Bazavov Alexei
Berg Bernd A.
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