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lambda phi(4) theory - Part I. The symmetric phase beyond NNNNNNNNLO

Serone, Marco
•
Spada, Gabriele
•
Villadoro, Giovanni
2018
  • journal article

Periodico
JOURNAL OF HIGH ENERGY PHYSICS
Abstract
Perturbation theory of a large class of scalar field theories in d < 4 can be shown to be Borel resummable using arguments based on Lefschetz thimbles. As an example we study in detail the λφ4 theory in two dimensions in the Z2 symmetric phase. We extend the results for the perturbative expansion of several quantities up to N8LO 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.
DOI
10.1007/JHEP08(2018)148
WOS
WOS:000442699400005
Archivio
http://hdl.handle.net/20.500.11767/85597
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85052247065
https://arxiv.org/abs/1805.05882
Diritti
open access
Soggetti
  • Field Theories in Low...

  • Nonperturbative Effec...

  • Nuclear and High Ener...

  • Settore FIS/02 - Fisi...

Web of Science© citazioni
39
Data di acquisizione
Mar 22, 2024
Visualizzazioni
1
Data di acquisizione
Jun 8, 2022
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