<i>The QCD Vacuum, Hadrons and the Superdense Matter</i>

Shuryak, Edward; Yaffe, Laurence G.

doi:10.1063/1.2811090

Cited by 121 publications

(225 citation statements)

References 0 publications

Supporting

Mentioning

220

Contrasting

Order By: Relevance

“…is invariant under global SU V (N f ) × SU A (N f ) rotations 2 of the fermions since the Dirac operator 1 When switching on a small quark mass one arrives at the same conclusion on a compact spacetime without boundary, since det(iD / + m) ∼ m N .…”

Section: Introductionmentioning

confidence: 71%

“…Possible mechanisms for the spontaneous breaking of the chiral symmetry in QCD have repeatedly been discussed in the literature [1], but a derivation from first principles remains to be found. The broken phases can be probed by coupling the fields to a symmetry breaking trigger source which is removed after the infinite volume limit has been taken.…”

Section: Introductionmentioning

confidence: 99%

“…In QCD a great deal of efforts have been undertaken to study the quark condensates in the limit of vanishing current quark masses [1]. These condensates would signal a spontaneous breaking of the axial flavour symmetry SU A (N f ) as it is required by the low energy phenomenology.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Gauge theories in a bag

Wipf

Dürr

1995

Nuclear Physics B

View full text Add to dashboard Cite

We investigate multi-flavour gauge theories confined in d = 2n-dimensional Euclidean bags. The boundary conditions for the 'quarks' break the axial flavour symmetry and depend on a parameter θ. We determine the θ-dependence of the fermionic correlators and determinants and find that a CP -breaking θ-term is generated dynamically. As an application we calculate the chiral condensate in multi-flavour QED 2 and the abelian projection of QCD 2 . In the second model a condensate is generated in the limit where the number of colours, N c , tends to infinity. We prove that the condensate in QCD 2 decreases with increasing bag radius R at least as ∼ R −1/NcN f . Finally we determine the correlators of mesonic currents in QCD 2 .

show abstract

Section: Introductionmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Gauge theories in a bag

Wipf

Dürr

1995

Nuclear Physics B

View full text Add to dashboard Cite

show abstract

“…25. The first order iteration Π (1) µν is obtained via a similar expansion from the three diagrams displayed in figs. 26 [129].…”

Section: Higher Order Iterations π (N )mentioning

confidence: 99%

“…It is currently believed that matter at high density (several times ordinary nuclear matter density) or high temperature (beyond a few hundred MeV) becomes simple: all known hadrons are expected to dissolve into a plasma of their elementary constituents, the quarks and the gluons, forming a new state of matter: the quark-gluon plasma [1,2].…”

Section: Introductionmentioning

confidence: 99%

The quark–gluon plasma: collective dynamics and hard thermal loops

Blaizot¹,

Iancu²

2002

Physics Reports

511

714

View full text Add to dashboard Cite

We present a unified description of the high temperature phase of QCD, the so-called quark-gluon plasma, in a regime where the effective gauge coupling g is sufficiently small to allow for weak coupling calculations. The main focuss is the construction of the effective theory for the collective excitations which develop at a typical scale gT , which is well separated from the typical energy of single particle excitations which is the temperature T . We show that the short wavelength thermal fluctuations, i.e., the plasma particles, provide a source for long wavelength oscillations of average fields which carry the quantum numbers of the plasma constituents, the quarks and the gluons. To leading order in g, the plasma particles obey simple gauge-covariant kinetic equations, whose derivation from the general Dyson-Schwinger equations is outlined. By solving these equations, we effectively integrate out the hard degrees of freedom, and are left with an effective theory for the soft collective excitations. As a by-product, the "hard thermal loops" emerge naturally in a physically transparent framework. We show that the collective excitations can be described in terms of classical fields, and develop for these a Hamiltonian formalism. This can be used to estimate the effect of the soft thermal fluctuations on the correlation functions. The effect of collisions among the hard particles is also studied. In particular we discuss how the collisions affect the lifetimes of quasiparticle excitations in a regime where the mean free path is comparable with the range of the relevant interactions. Collisions play also a decisive role in the construction a Member of CNRS. E-mail: blaizot@spht.saclay.cea.fr b Member of CNRS. E-mail: iancu@spht.saclay.cea.fr c Laboratoire de la Direction des Sciences de la Matière du Commissariatà l'Energie Atomique of the effective theory for ultrasoft excitations, with momenta ∼ g 2 T , a topic which is briefly addressed at the end of this paper.

show abstract

QCD Sum Rules for Skeptics

1997

View full text Add to dashboard Cite

A new Monte-Carlo based uncertainty analysis is introduced to quantitatively determine the predictive ability of QCD sum rules. A comprehensive analysis of ground state rho-meson and nucleon spectral properties is performed. Many of the findings contradict the conventional wisdom of both practitioners and skeptics alike. Associations between the phenomenological fit parameters are particularly interesting as they reveal how the sum rules resolve the spectral properties. The use of derivative sum rules for the determination of rho-meson spectral properties is shown to be a very unfavorable approach. Most prior nucleon sum rule analyses are based on a sum rule which is found to be invalid; the results are suspect, and should be reevaluated. The ``Ioffe formula'', argued by many to qualitatively encapsulate a description of the nucleon mass in terms of the chiral symmetry breaking order parameter is misleading at best. QCD Sum Rules are found to be self-consistent without contributions from direct instantons. This implies that instanton effects are adequately accounted for in the nonperturbative vacuum condensates. This in-depth examination of QCD sum rule self consistency paints a favorable picture for further quantitative refinements of the QCD sum rule approach.Comment: 70 page RevTeX Manuscript with 40 embedded figures. Revised manuscript accepted for publication. Recent estimates of QCD vacuum condensates are used in the analysis. This and related papers may also be obtained from http://www.phys.washington.edu/~derek/Publications.htm

show abstract

The QCD Vacuum, Hadrons and the Superdense Matter

Cited by 121 publications

References 0 publications

Gauge theories in a bag

Gauge theories in a bag

The quark–gluon plasma: collective dynamics and hard thermal loops

QCD Sum Rules for Skeptics

Contact Info

Product

Resources

About