An effective action for Yang-Mills field strengths

Schaden, Martin; Reinhardt, Hugo; Amundsen, Per Amund; Lavelle, Martin

doi:10.1016/0550-3213(90)90200-w

Cited by 70 publications

(89 citation statements)

References 27 publications

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“…The action of the field strength S[T ] need not to be specified here and can be found in [5,6]. Within the strong coupling limit, one observes that the gluonic vacuum decays into domains of constant field strength iT a µν [6] giving rise to a Nambu-Jona-Lasinio type quark interaction in (4). Due to gauge covariance, all orientations of the constant background field contribute to the quark interaction.…”

Section: Motivationmentioning

confidence: 99%

“…Various non-perturbative methods shed some light on its ground state properties: the operator product expansion [1] improves the perturbative expansion by the inclusion of effects from vacuum condensates in Green's functions, QCD sum rules [2] relate these condensates to hadron masses, variational methods [3] attempt to evolve a qualitative picture of the gluonic vacuum, the semi-classical evolution of the QCD functional integral, leading to instanton physics [4], and the reformulation of QCD in terms of the field strength [5,6,7,8] provides some insight into the vacuum properties of the quark sector. These analytical approaches can be contrasted to numerical investigations of lattice QCD [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Quark confinement in a constituent quark model

Langfeld

Rho

1995

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On the level of an effective quark theory, we define confinement by the absence of quark anti-quark thresholds in correlation functions. We then propose a confining Nambu-Jona-Lasinio-type model. The confinement is implemented in analogy to Anderson localization in condensed matter systems. We study the model's phase structure as well as its behavior under extreme conditions, i.e. high temperature and/or high density. * Supported in part by DFG under contracts La-932/1 − 1/2.

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Section: Motivationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quark confinement in a constituent quark model

Langfeld

Rho

1995

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“…The highlights of the model are its incorporation of all global symmetries of QCD as well as its prediction of many features of QCD such as dynamical chiral symmetry breaking and its restoration [6,9,43,44]. Moreover, this model has been motivated, if also not derived, using lattice QCD [45], continuum QCD [43,44,46,47,48,49], and Yang-Mills theories [50]. The locality assumption of the model has been justified for low energy QCD [50], and inspired by strong-coupling lattice quantum electrodynamics (QED) [9,51].…”

Section: A Microscopic Model Of Quarks Diquarks and Their Inter-mentioning

confidence: 99%

“…Moreover, this model has been motivated, if also not derived, using lattice QCD [45], continuum QCD [43,44,46,47,48,49], and Yang-Mills theories [50]. The locality assumption of the model has been justified for low energy QCD [50], and inspired by strong-coupling lattice quantum electrodynamics (QED) [9,51]. The main problem of the NJL model continues to be the absence of confinement.…”

Section: A Microscopic Model Of Quarks Diquarks and Their Inter-mentioning

confidence: 99%

Path-integral hadronization for the nucleon and its interactions

2002

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Nucleon structure and the origin and nature of the nuclear force are investigated in the context of a QCD-based effective field theory and the path-integral method of hadronization. We start from a microscopic model of quarks and diquarks where the gluons have been integrated out. In particular, we use the chiral Nambu-Jona-Lasinio model to describe quark dynamics and assume that the nucleon can be conceived as a quark-diquark relativistic bound state. The hadronization method is then used to rewrite the problem in terms of the physical meson and nucleon degrees of freedom. Next, by employing a loop and derivative expansion of the resulting quark/diquark determinants, we arrive at an effective chiral meson-nucleon Lagrangian. Nucleon properties such as mass, coupling constants, electromagnetic radii, anomalous magnetic moments, and form factors are derived using a theory of at most two free parameters.

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“…Including quantum fluctuations, it was discovered that instantons possess a medium range attractive interaction which is solely due to the instability of the perturbative vacuum [17]. The strong-coupling expansion within the field strength approach to Yang-Mills theory [18] suggests that the interaction due to quantum effects is strong enough to induce a condensation of instantons [19]. Whether the instantons exist in a crystal type structure or in a strongly correlated liquid is still beyond the scope of the present approaches.…”

Section: Introductionmentioning

confidence: 99%

On the possibility of the dual Meissner effect induced by instantons

Langfeld

1998

Eur. Phys. J. C

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The classical Yang-Mills equation of motion is numerically investigated in the Lorentz gauge for a SU(2) gauge group. The color-electric field of two point-like charges is studied in the "empty" vacuum and in a state with an instanton present. The major effect for a fixed orientation of the instanton is that the color-electric field lines are expelled or attracted from the instanton region depending on the orientation of the instanton. If over the orientations of the instanton is averaged, this effect drops out. In this case of a random instanton orientation, we find that the external color-electric field is expelled from the instanton core. The origin of this effect is discussed.

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An effective action for Yang-Mills field strengths

Cited by 70 publications

References 27 publications

Quark confinement in a constituent quark model

Quark confinement in a constituent quark model

Path-integral hadronization for the nucleon and its interactions

On the possibility of the dual Meissner effect induced by instantons

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