TY - JOUR
T1 - Dyson's instability in lattice gauge theory
AU - Bazavov, A.
AU - Denbleyker, A.
AU - Du, Daping
AU - Meurice, Y.
AU - Velytsky, A.
AU - Zou, Haiyuan
N1 - Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2009
Y1 - 2009
N2 - We discuss Dyson's argument that the vacuum is unstable under a change g2 g2, in the context of lattice gauge theory. For compact gauge groups, the partition function is well defined at negative g2, but the average plaquette P has a discontinuity when g2 changes sign. This reflects a change of vacuumrather than a loss of vacuum. In addition, P has poles in the complex g2 plane, located at the complex zeros of the partition function (Fisher's zeros). We discuss the relevance of these singularities for lattice perturbation theory. We present new methods to locate Fisher's zeros using numerical values for the density of state in SU(2) and U(1) pure gauge theory. We briefly discuss similar issues for O(N) nonlinear sigma models where the local integrals are also over compact spaces.
AB - We discuss Dyson's argument that the vacuum is unstable under a change g2 g2, in the context of lattice gauge theory. For compact gauge groups, the partition function is well defined at negative g2, but the average plaquette P has a discontinuity when g2 changes sign. This reflects a change of vacuumrather than a loss of vacuum. In addition, P has poles in the complex g2 plane, located at the complex zeros of the partition function (Fisher's zeros). We discuss the relevance of these singularities for lattice perturbation theory. We present new methods to locate Fisher's zeros using numerical values for the density of state in SU(2) and U(1) pure gauge theory. We briefly discuss similar issues for O(N) nonlinear sigma models where the local integrals are also over compact spaces.
UR - https://www.scopus.com/pages/publications/85053292635
M3 - 会议文章
AN - SCOPUS:85053292635
SN - 1824-8039
VL - 91
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 27th International Symposium on Lattice Field Theory, LAT 2009
Y2 - 26 July 2009 through 31 July 2009
ER -