QCD condensates and hadron parameters in nuclear matter: self-consistent treatment, sum rules and all that

Drukarev, E. G.; Ryskin, M. G.; Sadovnikova, V. A.

doi:10.1016/s0146-6410(01)00153-3

Cited by 38 publications

(51 citation statements)

References 136 publications

(264 reference statements)

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“…Thus, Θ µ µ increases with n B and, according to the anomaly equation (78), G 2 µν decreases. A similar decrease in G 2 µν with baryon density is expected to occur in "dilute" nuclear matter (see [18] and review [19]). On the other hand, for µ B ≫ m π , energy density is approximately equal to pressure, and both are mostly due to self-interactions of the diquark condensate.…”

Section: Gluon Condensatesupporting

confidence: 56%

θ-parameter in 2 color QCD at finite baryon and isospin density

Metlitski

Zhitnitsky

2005

Nuclear Physics B

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We use 2-color QCD as a model to study the effects of simultaneous presence of the so-called θ parameter, chemical potentials for baryon number, µ B and for isospin charge, µ I . We pay special attention to θ, µ B , µ I dependence of different vacuum condensates, including chiral and diquark condensates, as well as the gluon condensate, bg 2 32π 2 G a µν G µνa , and the topological susceptibility. We find that two phase transitions of the second order will occur when θ relaxes from θ = 2π to θ = 0, if µ is of order of the pion mass, m π . We demonstrate that the transition to the superfluid phase at θ = π occurs at a much lower chemical potential than at θ = 0. We also show that the strong θ dependence present near θ = π in vacuum (Dashen's phenomenon), becomes smoothed out in the superfluid phase. Finally, we comment on the relevance of this study for the real world with N c = 3.PACS numbers: I. MOTIVATIONIn this paper we investigate the behavior of 2-color QCD under the influence of three parameters: θ, µ B and µ I . The main motivation for such a study is, of course, the attempt to understand the cosmological phase transition when θ, being non-zero and large at the very beginning of the phase transition, slowly relaxes to zero, as the axion resolution of the strong CP problem suggests. Therefore, the universe may undergo many QCD phase transitions when θ relaxes to zero. Another motivation is the attempt to understand the complicated phase diagram of QCD as a function of external parameters θ, µ B and µ I . Finally, our study may be of interests for the lattice community -the determinant of the Dirac operator for N c = 2 is real when θ = π in the presence of nonzero µ. As we show, in this case the superfluid phase is realized at a much lower chemical potential than at θ = 0. This gives a unique chance to study the superfluid phase on the lattice at a much smaller µ than would normally be required.To study all these problems in real 3 color QCD at finite µ B is, of course, a very difficult task. To get some insight into what might happen we shall use a controlled analytical method to study these questions in the non-physical (but nevertheless, very suggestive) N c = 2 theory. We use the chiral effective Lagrangian approach to attack the problem. We shall determine the phase diagram in the µ B , µ I , θ planes, various condensates and lowest lying excitations. We expect that our approach is valid as long as all external parameters * Electronic address: mmetlits@phas.ubc.ca † Electronic address: arz@phas.ubc.ca

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Section: Gluon Condensatesupporting

confidence: 56%

θ-parameter in 2 color QCD at finite baryon and isospin density

Metlitski

Zhitnitsky

2005

Nuclear Physics B

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“…Our results for the vector condensate confirm the LO results given in [28,29]. The ρ N where u µ is the fourvelocity of relativistic nuclear matter and ρ N is its density.…”

Section: Correlator Including the Vector Condensatesupporting

confidence: 89%

Next-to-leading order perturbative QCD corrections to baryon correlators in matter

2008

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We compute the next-to-leading order (NLO) perturbative QCD corrections to the correlators of nucleon interpolating currents in relativistic nuclear matter.The main new result is the calculation of the O(α s ) perturbative corrections to the coefficient functions of the vector quark condensate in matter. This condensate appears in matter due to the violation of Lorentz invariance. The NLO perturbative QCD corrections turn out to be large which implies that the NLO corrections must be included in a sum rule analysis of the properties of both bound nucleons and relativistic nuclear matter.

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“…The rigorous treatment of the pion cloud requires the account of the multinucleon effects in the propagation of the pions [30,31]. Inclusion of these effects [32,33] still provides S(ρ) < 0 at the densities close to the saturation value. Thus the nonlinear behaviour of the scalar condensate may be responsible for the saturation properties of the matter.…”

Section: Beyond the Gas Approximation A Possible Saturation Mechanismmentioning

confidence: 99%

“…3.8 A sub-plot: Goldstone pions never condense [32,33,41,42] The possibility of the "pion condensation" was first discussed by Migdal [7]. The observation is that at certain value of density ρ = ρ π the pion propagator presented by Eq.…”

Section: Charge-symmetry Breaking Forcesmentioning

confidence: 99%

Finite density QCD sum rules for nucleons

Drukarev

2003

Progress in Particle and Nuclear Physics

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It is shown how the QCD sum rules can be applied for the investigation of the density dependence of the nucleon parameters. These characteristics can be expressed through the expectation values of QCD operators in nuclear matter. In certain approximations the expectation values are related to the observables. First applications of the approach reproduced some of the basic features of nuclear physics, providing also a new knowledge. The program of the future work is presented. The difficulties of the approach are discussed.

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QCD condensates and hadron parameters in nuclear matter: self-consistent treatment, sum rules and all that

Cited by 38 publications

References 136 publications

θ-parameter in 2 color QCD at finite baryon and isospin density

θ-parameter in 2 color QCD at finite baryon and isospin density

Next-to-leading order perturbative QCD corrections to baryon correlators in matter

Finite density QCD sum rules for nucleons

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