Elementary Particles of Conventional Field Theory as Regge Poles. III

Gell‐Mann, Murray; Goldberger, M. L.; Low, F. E.; Marx, Egon; Zachariasen, F.

doi:10.1103/physrev.133.b145

Cited by 355 publications

(90 citation statements)

References 14 publications

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“…(1.4). This is similar to what happens in QED, where the electron also Reggeizes [1,2]. Analogously to the gluon case, an equation was derived [11] to resum the real and virtual radiative corrections to exchanges with arbitrary colour state and signature.…”

Section: Introductionmentioning

confidence: 87%

“…Note, that whereas δ (1) e has a soft (1/ǫ 2 ) singularity that must be cancelled by real radiation, δ (1) q is finite as ǫ → 0, since the corresponding spin structure is absent at leading order. There is no ansatz for any of the odd signature exchanges or for the even signaturē 6 and 15 exchanges.…”

Section: Regge Theory Interpretationmentioning

confidence: 99%

“…In Ref. [23] the divergent contribution is written in terms of the infrared singularity operators I (1) , I (2) and H (2) introduced by Catani [28] and the tree-and one-loop amplitudes. The finite remainder is given in terms of logarithms and polylogarithms with arguments −u/s, −t/s and u/t.…”

Section: The Regge Limit Of the One-and Two-loop Calculationsmentioning

confidence: 99%

“…One of the remarkable properties of QCD is the Reggeization of its elementary particles. Unlike QED, where the electron Reggeizes [1,2], but the photon remains elementary [3], in QCD both the gluon [4,5,6,7,8,9,10] and quark [11] Reggeize. We use here the notion "Reggeization" in the strong sense [12], that means not only the existence of a Reggeon with corresponding quantum numbers (including signature) and trajectory, but as well the dominance of the Reggeon contribution to the amplitudes of the processes with these quantum numbers in each order of perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

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The quark Regge trajectory at two loops

Bogdan

Fadin

Duca

et al. 2002

J. High Energy Phys.

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The hypothesis of the quark Reggeization is tested by taking the high-energy limit of the two-loop amplitude for quark-gluon scattering which was recently calculated. The limit is compatible with the Reggeization in the leading and the next-to-leading orders and allows the determination of the quark trajectory in the two-loop approximation. The trajectory is presented as an expansion in powers of (D − 4) for the space-time dimension D tending to the physical value D = 4.

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Section: Introductionmentioning

confidence: 87%

Section: Regge Theory Interpretationmentioning

confidence: 99%

Section: The Regge Limit Of the One-and Two-loop Calculationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The quark Regge trajectory at two loops

Bogdan

Fadin

Duca

et al. 2002

J. High Energy Phys.

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show abstract

“…The field theory reggeization of fermions had been understood [8] by this time, but a boundstate Pomeron remained elusive. Meanwhile the abstract formalism of multi-regge theory [9] based on analyticity and unitarity, and the related Reggeon Field Theory formalism [10], had begun its development and the theoretical virtues of a Pomeron Regge pole began to be appreciated.…”

Section: Introductionmentioning

confidence: 99%

Analytic Multi-Regge Theory and the Pomeron in QCD Ii: Gauge-Theory Analysis

White

1993

Int. J. Mod. Phys. A

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The high-energy Regge behavior of gauge theories is studied via the formalism of Analytic Multi-Regge Theory. Perturbative results for spontaneously-broken theories are first organised into reggeon diagrams. Unbroken gauge theories are studied via a reggeon diagram infra-red analysis of symmetry restoration. Massless fermions play a crucial role and the case of QCD involves the Super-Critical Pomeron as an essential intermediate stage.An introductory review of the build up of transverse momentum diagrams and reggeon diagrams from leading log calculations in gauge theories is presented first. It is then shown that the results closely reproduce the general structure for multi-regge amplitudes derived in Part I of the article, allowing the construction of general reggeon diagrams for spontaneously-broken theories. Next it is argued that, with a transversemomentum cut-off, unbroken gauge theories can be reached through an infra-red limiting process which successively decouples fundamental representation Higgs fields.The first infra-red limit studied is the restoration of SU (2) gauge symmetry. The analysis is dominated by the exponentiation of divergences imposed by Reggeon Unitarity and the contribution of massless quarks to reggeon interactions. Massless quarks * Work supported by the U.S. Department of Energy, Division of High Energy Physics, Contract W-31-109-ENG-38. also produce "triangle anomaly" transverse-momentum divergences which do not exponentiate but instead are absorbed into a reggeon condensate -which can be viewed as a "generalised winding-number condensate". The result is a reggeon spectrum consistent with confinement and chiral symmetry breaking, but there is no Pomeron. The analysis is valid when the gauge coupling does not grow in the infra-red region, that is when a sufficient number of massless quarks is present. An analogy is drawn between the confinement produced by the reggeon condensate and that produced by regularisation of the fermion sea, in the presence of the anomaly, in the two-dimensional Schwinger model.When the analysis is extended to the case of QCD with the gauge symmetry restored to SU (2), the Reggeon condensate can be identified with the Pomeron condensate of Super-Critical Pomeron theory. In this case, the condensate converts an SU (2) singlet reggeised gluon to a Pomeron Regge pole -which becomes an SU (3) singlet when the full gauge symmetry is restored. The condensate disappears as SU (3) Also discussed is the attractive possibility that a flavor-doublet of color sextet quarks could both produce the Critical Pomeron in QCD and also be responsible for electroweak dynamical symmetry breaking.

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Application of Helicity‐Formalism in Pion‐Photoproduction

Schmidt

Schwiderski

1967

Fortschr. Phys.

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Elementary Particles of Conventional Field Theory as Regge Poles. III

Cited by 355 publications

References 14 publications

The quark Regge trajectory at two loops

The quark Regge trajectory at two loops

Analytic Multi-Regge Theory and the Pomeron in QCD Ii: Gauge-Theory Analysis

Application of Helicity‐Formalism in Pion‐Photoproduction

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