Fisher's zeros as boundary of RG flows in complex coupling space - High Energy Physics - LatticeReport as inadecuate




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Abstract: We discuss the possibility of extending the RG flows to complex couplingspaces. We argue that the Fisher-s zeros are located at the boundary of thecomplex basin of attraction of IR fixed points. We support this picture withnumerical calculations at finite volume for2D ON models in the large-N limitand the hierarchical Ising model using the two-lattice matching method. Wepresent numerical evidence supporting the idea that, as the volume increases,the Fisher-s zeros of 4-dimensional pure gauge SU2 lattice gauge theory witha Wilson action, stabilize at a distance larger than 0.1 from the real axis inthe complex beta=4-g^2 plane. We show that when a positive adjoint term isadded, the zeros get closer to the real axis. We compare the situation with theU1 case. We discuss the implications of this new framework for proofs ofconfinement and searches for nontrivial IR fixed points in models beyond thestandard model.



Author: A. Bazavov, A. Denbleyker, Daping Du, Yuzhi Liu, Y. Meurice, Haiyuan Zou

Source: https://arxiv.org/







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