\(\lambda\theta^4\) theory.I: The symmetric phase beyond NNNNNNNNLO
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Publication:1783875
DOI10.1007/JHEP08(2018)148zbMATH Open1396.81125arXiv1805.05882MaRDI QIDQ1783875
Author name not available (Why is that?)
Publication date: 21 September 2018
Published in: (Search for Journal in Brave)
Abstract: Perturbation theory of a large class of scalar field theories in can be shown to be Borel resummable using arguments based on Lefschetz thimbles. As an example we study in detail the theory in two dimensions in the symmetric phase. We extend the results for the perturbative expansion of several quantities up to NLO and show how the behavior of the theory at strong coupling can be recovered successfully using known resummation techniques. In particular, we compute the vacuum energy and the mass gap for values of the coupling up to the critical point, where the theory becomes gapless and lies in the same universality class of the 2d Ising model. Several properties of the critical point are determined and agree with known exact expressions. The results are in very good agreement (and with comparable precision) with those obtained by other non-perturbative approaches, such as lattice simulations and Hamiltonian truncation methods.
Full work available at URL: https://arxiv.org/abs/1805.05882
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