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Updated: Sep 1, 2025

Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Projective-truncation-approximation study of the one-dimensional ϕ^{4} lattice model
Kou-Han Ma1, Yan-Jiang Guo1, Lei Wang1
1Department of Physics, Renmin University of China, 100872 Beijing, China.
Abstract:
In this paper, we first develop the projective truncation approximation (PTA) in the Green's function equation of motion (EOM) formalism for classical statistical models. To implement PTA for a given Hamiltonian, we choose a set of basis variables and projectively truncate the hierarchical EOM. We apply PTA to the one-dimensional ϕ^{4} lattice model. Phonon dispersion and static correlation functions are studied in detail. Using one- and two-dimensional bases, we obtain results identical to and beyond the quadratic variational approximation, respectively. In particular, we analyze the power-law temperature dependence of the static averages in the low- and high-temperature limits, and we give exact exponents.
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