FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3048206813> ?p ?o ?g. }

• W3048206813 endingPage "015019" @default.
• W3048206813 startingPage "015019" @default.
• W3048206813 abstract "We investigate a large class of perturbative QCD (pQCD) renormalization schemes whose beta functions $beta(a)$ are meromorphic functions of the running coupling and give finite positive value of the coupling $a(Q^2)$ in the infrared regime (freezing), $a(Q^2) to a_0$ for $Q^2 to 0$. Such couplings automatically have no singularities on the positive axis of the squared momenta $Q^2$ ($ equiv -q^2$). Explicit integration of the renormalization group equation (RGE) leads to the implicit (inverted) solution for the coupling, of the form $ln (Q^2/Q^2_{rm in}) = {cal H}(a)$. An analysis of this solution leads us to an algebraic algorithm for the search of the Landau singularities of $a(Q^2)$ on the first Riemann sheet of the complex $Q^2$-plane, i.e., poles and branching points (with cuts) outside the negative semiaxis. We present specific representative examples of the use of such algorithm, and compare the found Landau singularities with those seen after the 2-dimensional numerical integration of the RGE in the entire first Riemann sheet, where the latter approach is numerically demanding and may not always be precise. The specific examples suggest that the presented algebraic approach is useful to find out whether the running pQCD coupling has Landau singularities and, if yes, where precisely these singularities are." @default.
• W3048206813 created "2020-08-13" @default.
• W3048206813 creator A5021929413 @default.
• W3048206813 creator A5041631512 @default.
• W3048206813 creator A5063673311 @default.
• W3048206813 date "2021-01-01" @default.
• W3048206813 modified "2023-10-10" @default.
• W3048206813 title "pQCD running couplings finite and monotonic in the infrared: when do they reflect the holomorphic properties of spacelike observables?" @default.
• W3048206813 cites W1490827403 @default.
• W3048206813 cites W1498258676 @default.
• W3048206813 cites W1502682447 @default.
• W3048206813 cites W1514487823 @default.
• W3048206813 cites W1521523979 @default.
• W3048206813 cites W1543369255 @default.
• W3048206813 cites W1551810266 @default.
• W3048206813 cites W1597767457 @default.
• W3048206813 cites W1783309558 @default.
• W3048206813 cites W1830738161 @default.
• W3048206813 cites W1834144728 @default.
• W3048206813 cites W1918990662 @default.
• W3048206813 cites W1955171795 @default.
• W3048206813 cites W1965235959 @default.
• W3048206813 cites W1972151213 @default.
• W3048206813 cites W1974527345 @default.
• W3048206813 cites W1976521394 @default.
• W3048206813 cites W1980775801 @default.
• W3048206813 cites W1982966264 @default.
• W3048206813 cites W1983883348 @default.
• W3048206813 cites W1983976290 @default.
• W3048206813 cites W1988074815 @default.
• W3048206813 cites W1988613551 @default.
• W3048206813 cites W1988792587 @default.
• W3048206813 cites W1989454500 @default.
• W3048206813 cites W1990757950 @default.
• W3048206813 cites W1995109708 @default.
• W3048206813 cites W1998620850 @default.
• W3048206813 cites W2001790848 @default.
• W3048206813 cites W2003810043 @default.
• W3048206813 cites W2005162718 @default.
• W3048206813 cites W2006824143 @default.
• W3048206813 cites W2011029836 @default.
• W3048206813 cites W2016862940 @default.
• W3048206813 cites W2017439464 @default.
• W3048206813 cites W2020791359 @default.
• W3048206813 cites W2022374542 @default.
• W3048206813 cites W2022613767 @default.
• W3048206813 cites W2025980888 @default.
• W3048206813 cites W2025989423 @default.
• W3048206813 cites W2027700679 @default.
• W3048206813 cites W2032451690 @default.
• W3048206813 cites W2035696954 @default.
• W3048206813 cites W2036339866 @default.
• W3048206813 cites W2037256963 @default.
• W3048206813 cites W2037405969 @default.
• W3048206813 cites W2038479988 @default.
• W3048206813 cites W2039968510 @default.
• W3048206813 cites W2040708825 @default.
• W3048206813 cites W2047702795 @default.
• W3048206813 cites W2051653758 @default.
• W3048206813 cites W2056455785 @default.
• W3048206813 cites W2056758859 @default.
• W3048206813 cites W2057539120 @default.
• W3048206813 cites W2062208964 @default.
• W3048206813 cites W2062460005 @default.
• W3048206813 cites W2066666864 @default.
• W3048206813 cites W2069033973 @default.
• W3048206813 cites W2075247730 @default.
• W3048206813 cites W2082750002 @default.
• W3048206813 cites W2082777696 @default.
• W3048206813 cites W2083649198 @default.
• W3048206813 cites W2084784297 @default.
• W3048206813 cites W2085130898 @default.
• W3048206813 cites W2085396540 @default.
• W3048206813 cites W2085437524 @default.
• W3048206813 cites W2089617301 @default.
• W3048206813 cites W2089688819 @default.
• W3048206813 cites W2091046967 @default.
• W3048206813 cites W2094334747 @default.
• W3048206813 cites W2102001100 @default.
• W3048206813 cites W2119129546 @default.
• W3048206813 cites W2123160158 @default.
• W3048206813 cites W2127869248 @default.
• W3048206813 cites W2129394344 @default.
• W3048206813 cites W2140609344 @default.
• W3048206813 cites W2141736829 @default.
• W3048206813 cites W2141973164 @default.
• W3048206813 cites W2145726341 @default.
• W3048206813 cites W2145855539 @default.
• W3048206813 cites W2149438101 @default.
• W3048206813 cites W2158631147 @default.
• W3048206813 cites W2160906110 @default.
• W3048206813 cites W2166831966 @default.
• W3048206813 cites W2168641125 @default.
• W3048206813 cites W2194375286 @default.
• W3048206813 cites W2219745954 @default.
• W3048206813 cites W2331276043 @default.
• W3048206813 cites W2343100193 @default.
• W3048206813 cites W2468144074 @default.

• next