Borel resummation
WebFeb 15, 2013 · @article{osti_22157069, title = {Temporal breakdown and Borel resummation in the complex Langevin method}, author = {Duncan, A., E-mail: [email protected] and Niedermaier, M., E-mail: [email protected]}, abstractNote = {We reexamine the Parisi-Klauder conjecture for complex e{sup i{theta}/2}{phi}{sup 4} … WebBorel summation is appropriate always when one can prove the analyticity assumption that the Borel integrals satisfy for complex g g ( Watson's Theorem ). This is the case for …
Borel resummation
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Webthat agrees with LPP data. The enhanced resummation method is used in conjunction with threshold resummation in deep inelastic scattering (DIS) to perform two global fits of PDFs using the minimal and Borel prescriptions. The results are analyzed to determine the effect of threshold resummation on global fits of PDFs. 1 WebJul 8, 2024 · We argue that the perturbative series for the \overline {\mathrm {MS}} β -function is most likely asymptotic and non -Borel resummable, yet Borel resummation techniques allow to improve on ordinary perturbation theory. We find substantial evidence that QCD with nf = 12 flavours flows in the IR to a conformal field theory.
WebInstantons and Borel Resummation. As explained in Weinberg's The Quantum Theory of Fields, Volume 2, Chapter 20.7 Renormalons, instantons are a known source of poles in … WebApr 6, 2024 · We show that Borel resummation can be used to interpret the divergent series and to correctly infer the time evolution of the correlation functions. In …
WebBorel resummation WKB analysis of Schrodinger equations Applications of WKB analysis to global problems WKB analysis of the Painleve function Future directions and projects Appendix Bibliography Index. No Paper Link Available Save to Library Create Alert Cite 24 Citations Citation Type More Filters WebOct 1, 2024 · Borel resummation With a slight change of notation from the physics literature and the Introduction, instead of describing a physical observable as a formal series obtained from a weak coupling expansion g ∼ 0, we will write everything in terms of z = 1 ∕ g and work at z ∼ ∞.
WebApr 6, 2024 · Borel resummation was the most powerful tool of the day for getting finite numbers out of divergent series, but it had its limits. It occasionally gave wrong or conflicting results, frustrating physicists who hoped one series would correctly predict the outcome of one experiment. “When physicists found a series which was not Borel summable ...
WebApr 26, 2024 · We first define the Borel–Laplace resummation operator (Definition 2.6), which is generalised by the Borel-Écalle resummation method. We then introduce … black dot inside earWebApr 10, 2024 · the Laplace-Borel integral of the discontinuity of the Borel transform, multiplied by an arbitrary constant. Therefore, using the Borel resummation (16) and the expression (25), we can write down the most general resurgent expression of the Adler function in the complex s-plane D(±) resurg(s) = 1+ 1 β 0 Z∞ 0 dτ wbD(τ) ln(−τs/Λ2 V) ∓ ... gamechanger 3.0 batteryWebJul 14, 2024 · We use simple methods based on continued functions and Borel–Leroy transformation to achieve this. These accurate results are useful in getting precise measures and strengthening existing conclusions in different ϕ 4 models. ... Continued functions and Borel–Leroy transformation: resummation of six-loop ϵ-expansions from different ... game changer 2020 softball