Variational methods for composite operators

Haymaker, Richard W.

doi:10.1007/bf02811226

Cited by 87 publications

(91 citation statements)

References 15 publications

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“…(14), (15). Here, This simple form expresses the interaction strength as a sum of two terms: the second ensures that perturbative behaviour is preserved at short-range; and the first makes provision for the possibility of enhancement at long-range.…”

Section: Basis For a Description Of Mesonsmentioning

confidence: 99%

Unifying Aspects of Light- and Heavy-Systems

Roberts¹

2004

Heavy Quark Physics

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Abstract. Dyson-Schwinger equations furnish a Poincaré covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. Key to the DSE's efficacious application is their expression of the materially important momentumdependent dressing of parton propagators at infrared length-scales, which is responsible for the magnitude of constituent-quark masses and the length-scale characterising confinement in bound states. A unified quantitative description of light-and heavy-quark systems is achieved by capitalising on these features.

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Section: Basis For a Description Of Mesonsmentioning

confidence: 99%

Unifying Aspects of Light- and Heavy-Systems

Roberts¹

2004

Heavy Quark Physics

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“…The bound states in gauge theories are usually considered in the framework of representations of the homogeneous Lorentz group in one of the Lorentz-invariant gauges [1]. In this paper, we suggest a systematic scheme of the bound state generalization of S-matrix elements, which is based on irreducible representations of the nonhomogeneous Poincaré group in concordance with the first Quantum Electrodynamic (QED) quantization [2,3] and first QED description of bound states [4,5].…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian anomalies of bound states in QED

Shilin

Первушин

2013

Phys. Atom. Nuclei

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The Bound State in QED is described in systematic way by means of nonlocal irreducible representations of the nonhomogeneous Poincare group and Dirac's method of quantization. As an example of application of this method we calculate triangle diagram P ara − P ositronium → γγ. We show that the Hamiltonian approach to Bound State in QED leads to anomaly-type contribution to creation of pair of parapositronium by two photon.

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“…Here we are going to discuss the quantum part of VED which is determined by the effective potential approach for composite operators [7][8][9]. It allows us to investigate the nonperturbative QCD vacuum, in particular Yang-Mills (YM) one, by substituting some physically well-justified Ansatz for the full gluon propagator since the exact solutions are not known.…”

Section: Introductionmentioning

confidence: 99%

Erratum: Determination of the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in covariant gauge QCD [Phys. Rev. D62, 076008 (2000)]

Gogohia¹,

Kluge²

2001

Phys. Rev. D

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Using the effective potential approach for composite operators, we have formulated a general method of calculation of the truly nonperturbative YangMills vacuum energy density in the covariant gauge QCD ground state quantum models. It is defined as an integration of the truly nonperturbative part of the full gluon propagator over the deep infrared region (soft momentum region). A nontrivial minimization procedure makes it possible to determine the value of the soft cutoff in terms of the corresponding nonperturbative scale parameter, which is inevitably present in any nonperturbative model for the full gluon propagator. We have shown for specific models of the full gluon propagator explicitly that the use of the infrared enhanced and finite gluon propagators lead to the vacuum energy density which is finite, always negative and it has no imaginary part (stable vacuum), while the infrared vanishing propagators lead to unstable vacuum and therefore they are physically unacceptable.

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Variational methods for composite operators

Cited by 87 publications

References 15 publications

Unifying Aspects of Light- and Heavy-Systems

Unifying Aspects of Light- and Heavy-Systems

Hamiltonian anomalies of bound states in QED

Erratum: Determination of the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in covariant gauge QCD [Phys. Rev. D62, 076008 (2000)]

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