Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-12-12
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 8 figures, Poster presented at the XXIX International Symposium on Lattice Field Theory (Lattice 2011), July 10-16, 2
Scientific paper
The zeros of the partition function in the complex beta plane (Fisher's zeros) play an important role in our understanding of phase transitions and RG flows. Recently, we argued that they act as gates or separatrices for complex RG flows. Using histogram reweighting to construct the density of states, we calculate the Fisher's zeros for pure gauge SU(2) and U(1) on L^4 lattices. For SU(2), these zeros appear to move almost horizontally when the volume increases. They stay away from the real axis which indicates a confining theory at zero temperature. We discuss the effect of an adjoint term on these results. In contrast, using recent multicanonical simulations for the U(1) model for L up to 8 we find that the zeros pinch the real axis near beta =1.0113. Preliminary results concerning U(1) at larger volumes, SU(3) with 3 light flavors and plans to delimit the boundary of the conformal window are briefly discussed.
Bazavov Alexei
Denbleyker Alan
Du Daping
Liu Yuzhi
Meurice Yannick
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