Confinement contains condensates

Brodsky, Stanley J.; Roberts, Craig D.; Shrock, Robert; Tandy, P. C.

doi:10.1103/physrevc.85.065202

Cited by 144 publications

(145 citation statements)

References 79 publications

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“…Chiral symmetry restoration is straightforward. It may be charted via the (µ, T )-dependence of the chiral condensate [47][48][49]; but we prefer a method [29] based on the chiral susceptibility, χ(µ, T ).…”

Section: Phase Diagram and Thermodynamicsmentioning

confidence: 99%

Phase diagram and thermal properties of strong-interaction matter

et al. 2016

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Section: Phase Diagram and Thermodynamicsmentioning

confidence: 99%

Phase diagram and thermal properties of strong-interaction matter

et al. 2016

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“…7 we plot the K ℓ3 scalar form factor, defined in Eq. (9). The solid curve may be interpolated using…”

Section: Kaon Longitudinal Transition Form Factormentioning

confidence: 99%

“…For example, the leptonic decay constants of the charged mesons and the in-meson condensates [8,9] are respectively expressed:…”

Section: Bethe-salpeter Equationsmentioning

confidence: 99%

“…This window on SU (3)-flavour symmetry breaking therefore provides direct access to both explicit and dynamical effects in a wide variety of domains. For example: the mass formulae for pseudo-Goldstone bosons involve both current-quark masses and order parameters for DCSB [8,9]; and the ratio of kaon and pion valence-u-quark distribution functions provides access to a renormalisation scale invariant ratio of DCSB order parameters [10,11].…”

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Features and flaws of a contact interaction treatment of the kaon

et al. 2013

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Elastic and semileptonic transition form factors for the kaon and pion are calculated using the leading-order in a global-symmetry-preserving truncation of the Dyson-Schwinger equations and a momentum-independent form for the associated kernels in the gap and Bethe-Salpeter equations. The computed form factors are compared both with those obtained using the same truncation but an interaction that preserves the one-loop renormalisation-group behaviour of QCD and with data. The comparisons show that: in connection with observables revealed by probes with |Q 2 | M 2 , where M ≈ 0.4 GeV is an infrared value of the dressed-quark mass, results obtained using a symmetry-preserving regularisation of the contact-interaction are not realistically distinguishable from those produced by more sophisticated kernels; and available data on kaon form factors do not extend into the domain whereupon one could distinguish between the interactions. The situation is different if one includes the domain Q 2 > M 2 . Thereupon, a fully consistent treatment of the contact interaction produces form factors that are typically harder than those obtained with QCD renormalisation-group-improved kernels. Amongst other things also described are a Ward identity for the inhomogeneous scalar vertex, similarity between the charge distribution of a dressed-u-quark in the K + and that of the dressed-u-quark in the π + , and reflections upon the point whereat one might begin to see perturbative behaviour in the pion form factor. Interpolations of the form factors are provided, which should assist in working to chart the interaction between light-quarks by explicating the impact on hadron properties of differing assumptions about the behaviour of the Bethe-Salpeter kernel.

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“…Concerning the physics of the vacuum in the context of comparison between the IF and FF approaches, especially in the context of QCD, see Refs. [11,12] and the rich literature quoted there.…”

Section: If Canonical Quantum Theory For Fermions Interacting Throughmentioning

confidence: 99%

Fermion Mass Mixing in Vacuum

Głazek

2013

Few-Body Syst

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Renormalization group procedure for effective particles is applied to a theory of fermions that interact only through mass mixing terms in their Hamiltonian. Problems with virtual pair production in vacuum are avoided by using the front form of Hamiltonian dynamics. Masses and states of physical fermions emerge at the end of a calculation that is carried out exactly irrespective of the strength of the mass mixing terms. An a priori infinite set of renormalization group equations for all momentum modes of fermion quantum fields is reduced to just one equation for a two-by-two mass matrix. In distinction from scalars, fermions never become tachyons but appear chirally rotated when the mass mixing interaction term is sufficiently strong.

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Confinement contains condensates

Cited by 144 publications

References 79 publications

Phase diagram and thermal properties of strong-interaction matter

Phase diagram and thermal properties of strong-interaction matter

Features and flaws of a contact interaction treatment of the kaon

Fermion Mass Mixing in Vacuum

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