Effective field theories, Landau-Migdal Fermi liquid theory, and effective chiral Lagrangians for nuclear matter

Rho, Mannque

doi:10.1134/1.1368222

Cited by 6 publications

(9 citation statements)

References 52 publications

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“…with parameters runningà la BR scaling [33,37,34,38]. From our above argument, at densities n > ∼ n 0 , Nambu scaling sets in, so (f…”

Section: Nambu-jona-lasinio Theorymentioning

confidence: 80%

Matching the QCD and hadron sectors and medium-dependent meson masses; hadronization in relativistic heavy ion collisions

Brown¹

2004

Physics Reports

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The recent developments on the "vector manifestation" of chiral symmetry by Harada and Yamawaki provide a compelling evidence for, and "refine," the in-medium scaling of hadronic properties in dense/hot matter (call it "BR scaling") proposed by the authors in 1991. We reinterpret the Harada-Yamawaki result obtained in a Wilsonian renormalization-group approach to hidden local symmetry theory matched to QCD at near the chiral scale in terms of the Nambu-Jona-Lasinio model and predict that the vector meson mass in medium should scale m ⋆ ρ /m ρ ∼ ( qq ⋆ / qq ) 1/2 from n = 0 up to ∼ n = n 0 (where n 0 is nuclear matter density) and then go over to the linear scaling m ⋆ ρ /m ρ ∼ qq ⋆ / qq up to the chiral transition density n c at which the mass is to vanish (in the chiral limit) according to the vector manifestation fixed point. In the regime of the linear scaling above n 0 , the (vector) gauge coupling constant should fall linearly in qq ⋆ , vanishing at the critical point, with the width of the vector meson becoming steeply narrower. We suggest the in-medium vector meson mass, both parametric and pole, which goes smoothly to zero with increasing density, to be an order parameter for chiral symmetry restoration. Some issues related to recent RHIC observations are qualitatively discussed in the appendices. Our main conclusion that follows from these considerations is that the movement towards chiral restoration can be reliably described in Nambu-Jona-Lasinio mean field, with constituent quarks as variables, although there is probably density discontinuity following chiral restoration.

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“…with parameters runningà la BR scaling [33,37,34,38]. From our above argument, at densities n > ∼ n 0 , Nambu scaling sets in, so (f…”

Section: Nambu-jona-lasinio Theorymentioning

confidence: 80%

Matching the QCD and hadron sectors and medium-dependent meson masses; hadronization in relativistic heavy ion collisions

Brown¹

2004

Physics Reports

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“…Using this argument, it is then immediate to map the mean-field solution of (4) or (5) to Landau EFT: In the mean field approximation, the two theories, (4) and (5), yield the same results [33,34]. This chain of reasoning, developed in [10,35,36], has shown that the fluctuations on top of the Fermi liquid fixed point -represented by the mean field of (4) or (5) -in response to EW external fields can be related to the BR scaling parameter given by the ratio Φ = m ⋆ /m.…”

Section: Fermi-liquid Decimationmentioning

confidence: 97%

“…(For discussions on some of these matters, see [27].) On the other hand, one can also calculate its effect from matching of chiral Lagrangian theory with sliding vacuum to Landau Fermi liquid theory as discussed in [10,35,36]. There this factor arose as a pionic contribution correlated with heavy modes in the vector-meson channel, given by the formula g ⋆…”

Section: In-medium Pion Decay Constantmentioning

confidence: 99%

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Double decimation and sliding vacua in the nuclear many-body system

Brown

Rho

2004

Physics Reports

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We propose that effective field theories for nuclei and nuclear matter comprise of "double decimation": (1) the chiral symmetry decimation (CSD) and (2) Fermi liquid decimation (FLD). The Brown-Rho scaling identified as the parametric dependence intrinsic in the "vector manifestation" of hidden local symmetry theory of Harada and Yamawaki results from the first decimation, i.e., CSD. In a recent work we showed that in matter under conditions of high density or high temperature, dynamically generated hadron masses scaled with a common scale. Namely for low densities and temperatures the masses scaled as m ⋆ /m ≃ [ qq ⋆ / qq ] 1/2 whereas at higher densities and temperatures as [ qq ⋆ / qq ]. In the present work we summarize new empirical evidence for Brown-Rho (BR) scaling and discuss in a general way its impact on the nuclear many-body problem. While the double decimation should be carried out, it has been a prevalent practice in nuclear physics community to proceed with the second decimation, assuming density independent masses, without implementing the first, chiral symmetry decimation. We show why most nuclear phenomena can be reproduced by theories using either densityindependent, or density-dependent masses, a grand conspiracy of nature that is an aspect that could be tied to the Cheshire-Cat phenomenon in hadron physics. We go through some of the history of the chiral symmetry decimation (CSD) which involves BR scaling, in order to show that historically one had to look at very specific phenomena involving transition matrix elements to see that it is necessary. We identify what is left out in the Fermi liquid decimation (FLD) that does not incorporate the CSD. Experiments such as the dilepton production in relativistic heavy ion reactions, which are specifically designed to observe effects of dropping masses, could exhibit large effects from the reduced masses. However they are compounded with effects that are not directly tied to chiral symmetry. We discuss a recent STAR/RHIC observation where BR scaling can be singled out in a pristine environment.1 The holes are on-shell in the Brueckner-Bethe theory. 2 We are assuming U (2) flavor symmetry in the two-flavor case. 3 Implementing temperature effects is straightforward and hence will be ignored in what follows in this section. 11 In HLS/VM with the explicit vector degrees of freedom, the scaling parameters are the gauge coupling g * , the vector-meson mass m * V , the pion decay constant F * π and the coefficient a. However in medium a * ≈ 1, g * ≈ g, so mV * goes as F * π through HLS/VM relations. We are left with only one scaling factor as in the case where the vectors are integrated out. 12 The deviation from vector dominance in the photon coupling to the baryons has been known since some time. In fact, the chiral bag model [27, 68] provided a natural mechanism for such a deviation.

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“…2 illustrates the density dependence of g * A , being in good quantitative agreement with alternative approaches based on the low-density limit of chiral physics (cf. Friman et al, 1999;Rho, 2001;Meißner et al, 2002;Carter & Prakash, 2002), together with γ and the ratio (11) labelled as NN * /NN. The overall onset of reduction of the process starts at densities of about 10 12 g cm −3 with a suppression of about a factor of 5 at ρ 0 , being in quantitative agreement with calculations of Bartl et al (2014) based on the T -matrix approach as well as chiral effective field theory.…”

Section: Nucleon-nucleon Bremsstrahlungmentioning

confidence: 99%

The role of medium modifications for neutrino-pair processes from nucleon-nucleon bremsstrahlung

Fischer

2016

A&A

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In this article the neutrino-pair production from nucleon-nucleon (N N ) bremsstrahlung is explored via mediummodifications of the strong interactions at the level of the one-pion exchange approximation. It governs the bulk part of the N N interaction at low densities relevant for the neutrino physics in core-collapse supernova studies. The resulting medium modified one-pion exchange rate for the neutrino-pair processes is implemented in simulations of core collapse supernovae in order to study the impact on the neutrino signal emitted from the deleptonization of the nascent proto-neutron star. Consequences for the nucleosynthesis of heavy elements of the material ejected from the PNS surface are discussed.

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Effective field theories, Landau-Migdal Fermi liquid theory, and effective chiral Lagrangians for nuclear matter

Cited by 6 publications

References 52 publications

Matching the QCD and hadron sectors and medium-dependent meson masses; hadronization in relativistic heavy ion collisions

Matching the QCD and hadron sectors and medium-dependent meson masses; hadronization in relativistic heavy ion collisions

Double decimation and sliding vacua in the nuclear many-body system

The role of medium modifications for neutrino-pair processes from nucleon-nucleon bremsstrahlung

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