TY - JOUR
T1 - Fisher's zeros as boundary of RG flows in complex coupling space
AU - Bazavov, A.
AU - Denbleyker, A.
AU - Du, Daping
AU - Liu, Yuzhi
AU - Meurice, Y.
AU - Zou, Haiyuan
N1 - Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2010
Y1 - 2010
N2 - We discuss the possibility of extending the RG flows to complex coupling spaces. We argue that the Fisher's zeros are located at the boundary of the complex basin of attraction of IR fixed points. We support this picture with numerical calculations at finite volume for 2D O(N) models in the large-N limit and the hierarchical Ising model using the two-lattice matching method. We present numerical evidence supporting the idea that, as the volume increases, the Fisher's zeros of 4-dimensional pure gauge SU(2) lattice gauge theory with a Wilson action, stabilize at a distance larger than 0.1 from the real axis in the complex β = 4/g2 plane. We show that when a positive adjoint term is added, the zeros get closer to the real axis. We compare the situation with the U(1) case. We discuss the implications of this new framework for proofs of confinement and searches for nontrivial IR fixed points in models beyond the standard model.
AB - We discuss the possibility of extending the RG flows to complex coupling spaces. We argue that the Fisher's zeros are located at the boundary of the complex basin of attraction of IR fixed points. We support this picture with numerical calculations at finite volume for 2D O(N) models in the large-N limit and the hierarchical Ising model using the two-lattice matching method. We present numerical evidence supporting the idea that, as the volume increases, the Fisher's zeros of 4-dimensional pure gauge SU(2) lattice gauge theory with a Wilson action, stabilize at a distance larger than 0.1 from the real axis in the complex β = 4/g2 plane. We show that when a positive adjoint term is added, the zeros get closer to the real axis. We compare the situation with the U(1) case. We discuss the implications of this new framework for proofs of confinement and searches for nontrivial IR fixed points in models beyond the standard model.
UR - https://www.scopus.com/pages/publications/85053322443
M3 - 会议文章
AN - SCOPUS:85053322443
SN - 1824-8039
VL - 105
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 28th International Symposium on Lattice Field Theory, Lattice 2010
Y2 - 14 June 2010 through 19 June 2010
ER -