2002/02/13 by Stéphane Salmons, Pierre Grangé, Pierre GrangÉ +2
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.1103/physrevd.65.125014
published as Phys.Rev. D65 (2002) 125014 · Latex, 22 pages, 8 Postscript figures,Appendix
arxiv created 2002/02/13 · openalex publication_date 2002/06/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The dynamics of the phase transition of the continuum \ensuremathΦ1+14 theory in light-cone quantization is reexamined taking into account fluctuations of the order parameter 〈\ensuremathΦ〉 in the form of dynamical zero mode operators (DZMO) which appear in a natural way via the Haag expansion of the field \ensuremathΦ(x) of the interacting theory. The inclusion of the DZM sector changes significantly the value of the critical coupling, bringing it in agreement within 2% with the most recent Monte Carlo and high temperature or strong coupling estimates. The critical slowing down of the DZMO governs the low momentum behavior of the dispersion relation through invariance of this DZMO under conformal transformations preserving the local light-cone structure. The critical exponent \ensuremathη characterizing the scaling behavior at k2\ensuremath→0 comes out in agreement with the known value 0.25 of the Ising universality class. \ensuremathη is made of two contributions: one analytic (75%) and another (25%) which can be evaluated only numerically with an estimated error of 3%. The \ensuremathβ function is then found from the non-perturbative expression of the physical mass. It is non-analytic in the coupling constant with a critical exponent \ensuremathω=2. However, at D=2, \ensuremathω is not parametrization independent with respect to the space of coupling constants due to this strong non-analytic behavior.