Etude d’un modèle de champ à constante de renormalisation nulle

Houard, J. C.; Jouvet, B.

doi:10.1007/bf02732720

Cited by 99 publications

(11 citation statements)

References 4 publications

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“…This constraint has the physical meaning of the condition Z = 0 for bound states in the Lehmann spectral representation of composite operators [15], namely the the condition required to introduce a bound state on the same footing as the constituents in a Lagrangian.…”

Section: General Formalism At Zero Baryon Densitymentioning

confidence: 99%

“…A similar but more difficult problem has been considered since a long time: given a Lagrangian which generates bound states, how to replace it by a physically equivalent Lagrangian in which bound states and constituents are treated on equal footing [15]. I solve my problem defining quasiquark states in such a way that quasiquark-quasiantiquark states are orthogonal to meson states.…”

Section: Introductionmentioning

confidence: 99%

“…I solve my problem defining quasiquark states in such a way that quasiquark-quasiantiquark states are orthogonal to meson states. This constraint corresponds to the condition on the wave function renormalization of composite particles in the Lehman spectral representation of composite operators [15].…”

Section: Introductionmentioning

confidence: 99%

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Semivariational approach to QCD at finite temperature and baryon density

Palumbo

2008

Phys. Rev. D

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Recently a new bosonization method has been used to derive, at zero fermion density, an effective action for relativistic field theories whose partition function is dominated by fermionic composites, chiral mesons in the case of QCD. This approach shares two important features with variational methods: the restriction to the subspace of the composites, and the determination of their structure functions by a variational calculation. But unlike standard variational methods it treats excited states on the same footing as the ground state.I extend this method including states of nonvanishing fermion (baryon) number and derive an effective action for QCD at finite temperature and baryon density. I test the result on a four-fermion interaction model.

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Section: General Formalism At Zero Baryon Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Semivariational approach to QCD at finite temperature and baryon density

Palumbo

2008

Phys. Rev. D

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“…Unfortunately, however, the (heuristic) results in [AMKG57] have one major defect: their model contains "ghosts". The paper [HJ60], cited by Weinberg, assumes, however, the inequality opposite to (51), and so is concerned with stable particles. In fact, their reference to (51) treats it as the general conjecture based on [Wig56] and [K53] previously referred to.…”

Section: The Etcr Hypothesis and Its Consequences For The Singularitymentioning

confidence: 99%

A criterion to characterize interacting theories in the Wightman framework

Jäkel

Wreszinski

2020

Quantum Stud.: Math. Found.

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We propose a criterion to characterize interacting theories in a suitable Wightman framework of relativistic quantum field theories which incorporates a "singularity hypothesis", which has been conjectured for a long time, is supported by renormalization group theory, but has never been formulated mathematically. The (nonperturbative) wave function renormalization Z occurring in these theories is shown not to be necessarily equal to zero, except if the equal time commutation relations (ETCR) are assumed. Since the ETCR are not justified in general (because the interacting fields cannot in general be restricted to sharp times, as is known from model studies), the condition Z = 0 is not of general validity in interacting theories. We conjecture that it characterizes either unstable (composite) particles or the charge-carrying particles, which become infraparticles in the presence of massless particles. In the case of QED, such "dressed" electrons are not expected to be confined, but in QCD we propose a quark confinement criterion, which follows naturally from lines suggested by the works of Casher, Kogut

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“…The condition that the wave function renormalization constant should vanish was first suggested by JOUVET as a compositeness criterion: he has shown the equivalence between the Yukawa and Fermi couplings [l]. More fashionable and firm proof of this equivalence has been given in model field theories [2] and in perturbation theory [3]. SALAM has claimed that the requirement Z , = 0 only is not sufficient for particle to become composite and conjectured that conditions Z , = 0, and Z3 = 0 (or Z , = 0 ) are sufficient [4].…”

mentioning

confidence: 99%