Semen Aleksandrovich Al'tshuler (Obituary)

Arbuzöv, B. A.; Bashkirov, Sh. Sh.; Borovik-Romanov, A. S.; Valiev, K. A.; Vonsovskiĭ, S V; Ginzburg, Vitalii L.; Zaripov, M M; Kochelaev, B. I.; Prokhorov, A. M.; Fabelinskiĭ, Immanuil L.

doi:10.1070/pu1983v026n11abeh004563

Cited by 3 publications

(6 citation statements)

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“…(p 1 p 2 ) + (p 1 p 3 )(p 2 p 3 ) κ 3 . (3.9)When expanded around n = 4, these formulae coincide10 with the results presented in[13]. We shall see that the result S = 0 is valid also in an arbitrary gauge.…”

supporting

confidence: 82%

“…We shall see that the result S = 0 is valid also in an arbitrary gauge. It should be noted that presenting the results in arbitrary dimension does not spoil their compactness, as compared with the formulae expanded around n = 4 10. Up to the definition of the renormalization scheme constant C in[13], which we find to be C = − γ − ln π + 2 rather than C = −γ − ln π.…”

mentioning

confidence: 67%

“…One of the original reasons the three-gluon vertex was studied was the belief that its infrared properties might shed light on the mechanism of confinement. In these studies, different approaches were used, some of which are discussed in the review [10] (and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Three-gluon vertex in arbitrary gauge and dimension

Davydychev

Osland

1996

Phys. Rev. D

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One-loop off-shell contributions to the three-gluon vertex are calculated, in arbitrary covariant gauge and in arbitrary space-time dimension, including quark-loop contributions (with massless quarks). It is shown how one can get the results for all on-shell limits of interest directly from the general off-shell expression. The corresponding general expressions for the one-loop ghost-gluon vertex are also obtained. They allow for a check of consistency with the Ward-Slavnov-Taylor identity.

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confidence: 82%

mentioning

confidence: 67%

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Three-gluon vertex in arbitrary gauge and dimension

Davydychev

Osland

1996

Phys. Rev. D

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“…The ability to factor K−graphs out of chain graphs effectively reduces the problem of solving the Bethe-Salpeter equation of Fig. 8 to the much simpler and well-studied [10,11] problem of summing ladder graphs. Denoting terms in the Bethe-Salpeter equation by their labels in Fig.…”

Section: Summing K−graphs and Two-line Loopsmentioning

confidence: 99%

“…but rather by a factor of 1/N! and these sum to give [10,11] Im T 2→2 (s ≫ m 2 , t = 0) ∼ g 2 ln 3/2 (s/m 2 ) s m 2 g/(16π 2 ) + (g → −g) .…”

Section: Introductionmentioning

confidence: 99%

Unifying logarithmic and factorial behavior in high-energy scattering

Cornwall

Morris

1995

Phys. Rev. D

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The elegant instanton calculus of Lipatov and others used to find factoriallydivergent behavior (g N N!) for Ng ≫ 1 in gφ 4 perturbation theory is strictly only applicable when all external momenta vanish; a description of high-energy 2 → N scattering with N massive particles is beyond the scope of such techniques. On the other hand, a standard multiperipheral treatment of scattering with its emphasis on leading logarithms gives a reasonable picture of high-energy behavior but does not result in factorial divergences. Using a straightforward graphical analysis we present a unified picture of both these phenomena as they occur in the two-particle total cross section of gφ 4 theory. We do not attempt to tame the unitarity violations associated with either multiperipheralism or the Lipatov technique.

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Exponential suppression with four legs and an infinity of loops

Broadhurst

Davydychev

2010

Nuclear Physics B - Proceedings Supplements

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The L-loop 4-point ladder diagram of massless phi^3 theory is finite when all 4 legs are off-shell and is given in terms of polylogarithms with orders ranging from L to 2L. We obtain the exact solution of the linear Dyson-Schwinger equation that sums these ladder diagrams and show that this sum vanishes exponentially fast at strong coupling.Comment: 5 pages, 1 figure, presented at "Loops and Legs in Quantum Field Theory 2010", Woerlitz, Germany, April 201

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Semen Aleksandrovich Al'tshuler (Obituary)

Cited by 3 publications

References 0 publications

Three-gluon vertex in arbitrary gauge and dimension

Three-gluon vertex in arbitrary gauge and dimension

Unifying logarithmic and factorial behavior in high-energy scattering

Exponential suppression with four legs and an infinity of loops

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