Correlation functions of the anharmonic oscillator: Numerical verification of two-loop corrections to the large-order behavior

Giorgini, Ludovico TheoStockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Nordita SU; Stockholm Univ, S-10691 Stockholm, Sweden. (författare)

Correlation functions of the anharmonic oscillator : Numerical verification of two-loop corrections to the large-order behavior

QC 20220704
Recently, the large-order behavior of correlation functions of the O(N)-anharmonic oscillator has been analyzed by us [L. T. Giorgini et al., Phys. Rev. D 101, 125001 (2020)]. Two-loop corrections about the instanton configurations were obtained for the partition function, the two-point and four-point functions, and the derivative of the two-point function at zero momentum transfer. Here, we attempt to verify the obtained analytic results against numerical calculations of higher-order coefficients for the O(1), O(2), and O(3) oscillators, and we demonstrate the drastic improvement of the agreement of the large-order asymptotic estimates and perturbation theory upon the inclusion of the two-loop corrections to the large-order behavior.

Jentschura, Ulrich D.Missouri Univ Sci & Technol, Dept Phys, Rolla, MO 65409 USA.;MTA Particle Phys Res Grp, POB 51, H-4001 Debrecen, Hungary. (författare)
Malatesta, Enrico M.Bocconi Univ, Dept Comp Sci, Via Sarfatti 25, I-20136 Milan, Italy.;Bocconi Univ, Artificial Intelligence Lab, I-20136 Milan, Italy.;Bocconi Univ, Inst Data Sci & Analyt, I-20136 Milan, Italy. (författare)
Parisi, GiorgioSapienza Univ Roma, Dipartimento Fis, Ple Aldo Moro 5, I-00185 Rome, Italy.;Ist Nazl Fis Nucl, Sez Roma, Ple Aldo Moro 5, I-00185 Rome, Italy.;Inst Nanotechnol NANOTEC CNR, Rome Unit, Ple Aldo Moro 5, I-00185 Rome, Italy. (författare)
Rizzo, TommasoInst Complex Syst ISC CNR, Rome Unit, Ple Aldo Moro 5, I-00185 Rome, Italy.;Sapienza Univ Roma, Dipartimento Fis, Ple Aldo Moro 5, I-00185 Rome, Italy. (författare)
Zinn-Justin, JeanParis Saclay, IRFU CEA, F-91191 Gif Sur Yvette, France. (författare)
Stockholms universitetNordiska institutet för teoretisk fysik (Nordita) (creator_code:org_t)

Ingår i:Physical Review D: American Physical Society (APS)105:102470-00102470-0029

Av författaren/redakt...: Giorgini, Ludovi ...; Jentschura, Ulri ...; Malatesta, Enric ...; Parisi, Giorgio; Rizzo, Tommaso; Zinn-Justin, Jea ...

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