Conference proceeding
Fisher's zeros, complex RG flows and confinement in LGT models
XXIX International Symposium on Lattice Field Theory (Lattice 2011) - Posters, Vol.LATTICE2011
Proceedings of Science, v. 139
07/05/2012
DOI: 10.22323/1.139.0299
Abstract
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.
Details
- Title: Subtitle
- Fisher's zeros, complex RG flows and confinement in LGT models
- Creators
- Alan Denbleyker - Iowa UAlexei Bazavov - Brookhaven] (ORCID:0000000321411901Daping DuYuzhi Liu - Iowa U.] (ORCID:0000000306317319Yannick Meurice - Iowa U.] (ORCID:0000000209959694Haiyuan Zou - Iowa U
- Resource Type
- Conference proceeding
- Publication Details
- XXIX International Symposium on Lattice Field Theory (Lattice 2011) - Posters, Vol.LATTICE2011
- Series
- Proceedings of Science; v. 139
- DOI
- 10.22323/1.139.0299
- Language
- English
- Date published
- 07/05/2012
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428803102771
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