Diagonalizing the Hamiltonian of \(\lambda\phi^4\) theory in 2 space-time dimensions
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Publication:6155739
DOI10.1016/J.CPC.2017.10.002arXiv1603.01273OpenAlexW2963619777MaRDI QIDQ6155739
Author name not available (Why is that?)
Publication date: 7 June 2023
Published in: (Search for Journal in Brave)
Abstract: We propose a new non-perturbative technique for calculating the field-theory S-matrix directly from the eigenstates of the Hamiltonian. Our method involves a discretized momentum space and a momentum cutoff, thereby truncating the Hilbert space and making numerical diagonalization of the Hamiltonian achievable. We show how to do this in the context of a simplified theory in two space-time dimensions. We present the results of our diagonalization, its dependence on time, its dependence on the parameters of the theory and its renormalization.
Full work available at URL: https://arxiv.org/abs/1603.01273
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