Dynamics of effective gluons

Głazek, Stanisław D.

doi:10.1103/physrevd.63.116006

Cited by 31 publications

(28 citation statements)

References 41 publications

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“…The first check that was made in the application of the RGPEP to QCD was its suitability to reproduce the property of asymptotic freedom [3] and the agreement of the result with the one obtained using another generator [8]. The feature of asymptotic freedom at short distances could be checked in terms of a family of renormalized effective Hamiltonians using RGPEP.…”

Section: Asymptotic Freedommentioning

confidence: 99%

Effective-particle approach to bound states of quarks and gluons in QCD

Rocha¹,

Serafin²

2018

Proceedings of XVII International Conference on Hadron Spectroscopy and Structure — PoS(Hadron2017)

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A general approach to the construction of bound states in quantum field theory, called the renormalization group procedure for effective particles (RGPEP), was applied recently to single heavyflavor QCD in order to study its utility beyond illustration of its general features. This heavy-flavor QCD is chosen as the simplest available context in which the dynamics of quark and gluon bound states can be studied with the required rigor using Minkowski-space Hamiltonian operators in the Fock space, taking the advantage of asymptotic freedom. The effective quarks and gluons differ from the point-like canonical ones by having a finite size s. Their size plays the role of renormalization group parameter. However, instead of integrating out high-energy degrees of freedom, our RGPEP procedure is based on a transformation of the front-form QCD Hamiltonian from its canonical form with counterterms to the renormalized, scale-dependent operator that acts in the Fock space of effective quanta of quark and gluon fields, keeping all degrees of freedom intact but accounting for them in a transformed form. We discuss different behavior of effective particles interacting at different energy scales, corresponding to different size s. Namely, we cover phenomena ranging from asymptotic freedom at highest energies down to the scales at which the formation of bound states occurs. We briefly present recent applications of the RGPEP to quarks and gluons in QCD, which have been developed using expansion in powers of the Fock-space Hamiltonian running coupling. After observing that the QCD effective Hamiltonian satisfies the requirement of producing asymptotic freedom, we derive the leading effective interaction between quarks in heavy-flavor QCD. An effective confining effect is derived as a result of assuming that the non-Abelian and non-perturbative dynamics causes effective gluons to have mass.XVII International Conference on Hadron Spectroscopy and Structure -Hadron2017

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Section: Asymptotic Freedommentioning

confidence: 99%

Effective-particle approach to bound states of quarks and gluons in QCD

Rocha¹,

Serafin²

2018

Proceedings of XVII International Conference on Hadron Spectroscopy and Structure — PoS(Hadron2017)

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“…Recent progress on the dynamics of effective gluons, renormalization, and the k + → 0 behavior of the effective theory has been reported by Glazek [81], Brisudova [82] and Walhout [83]. One can also define a truncated theory by eliminating the higher Fock states in favor of an effec-tive potential.…”

Section: Nonperturbative Calcula-tions Of Light-front Wave-functionsmentioning

confidence: 99%

Physics at the light-front

Brodsky

2002

Nuclear Physics B - Proceedings Supplements

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The light-front representation of quantum chromodynamics provides a frame-independent, quantum-mechanical representation of hadrons at the amplitude level, capable of encoding their multi-quark, hidden-color and gluon momentum, helicity, and flavor correlations in the form of universal process-independent hadron wavefunctions. The universality and frame-independence of the LCWF's thus allow a profound connection between diffractive dissociation, hard scattering exclusive processes such as elastic form factors, two-photon reactions, and heavy hadron decays. In this concluding talk of the ECT* International Conference On Light-Cone Physics: Particles And Strings (Trento 2001), I review recent calculations and new applications of light-front wavefunctions in QCD and other theories. I also review the distinction between the structure functions measured in deep inelastic lepton scattering and the quark distributions determined from light-front wavefunctions.

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“…Nevertheless the problem of constructing the renormalized LF Hamiltonians using, in particular, the above-mentioned regularizations turned out to be very difficult. We refer to nonperturbative "similarity renormalization group" (SRG) approach which allows to construct approximately effective LF Hamiltonians acting in the space of small number of effective (constituent) particles [14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Pauli-Villars regularization in nonperturbative Hamiltonian approach on the light front

Malyshev

Paston

Prokhvatilov

et al. 2016

AIP Conference Proceedings

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The advantage of Pauli-Villars regularization in quantum field theory quantized on the light front is explained. Simple examples of scalar λϕ 4 field theory and Yukawa-type model are used. We give also an example of nonperturbative calculation in the theory with Pauli-Villars fields, using for that a model of anharmonic oscillator modified by inclusion of ghost variables playing the role similar to Pauli-Villars fields.

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Dynamics of effective gluons

Cited by 31 publications

References 41 publications

Effective-particle approach to bound states of quarks and gluons in QCD

Effective-particle approach to bound states of quarks and gluons in QCD

Physics at the light-front

Pauli-Villars regularization in nonperturbative Hamiltonian approach on the light front

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