Pion condensation and stability of abnormal nuclei

Migdal, A.B.; Sorokin, G. A.; Markin, O.; Mishustin, I. N.

doi:10.1016/0370-2693(76)90434-2

Cited by 34 publications

(15 citation statements)

References 9 publications

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“…More surprisingly, it was discovered that pion condensation in the hard-wall model has qualitatively different features from predictions of the chiral Lagrangian [18]. If the isospin chemical potential increases beyond a critical value, hadronic matter is expected to undergo a phase transition to a state in which a linear combination of the pion fields condenses [19][20][21]. In chiral perturbation theory without unphysically large low-energy coefficients, the pion condensation transition is second order and approaches the Zel'dovich equation of state for stiff matter smoothly across the phase boundary [22].…”

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confidence: 99%

Nonlinear boundary dynamics and chiral symmetry in holographic QCD

2012

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In a hard-wall model of holographic QCD, we find that nonlinear boundary dynamics are required in order to maintain the correct pattern of explicit and spontaneous chiral symmetry breaking beyond leading order in the pion fields. With the help of a field redefinition, we relate the requisite nonlinear boundary conditions to a standard Sturm-Liouville system. Observables insensitive to the chiral limit receive only small corrections in the improved description, and classical calculations in the hard-wall model remain surprisingly accurate.

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confidence: 99%

Nonlinear boundary dynamics and chiral symmetry in holographic QCD

2012

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“…Thus, although 1D modulations tend to be favored compared with 2D and 3D ones around the LP or at zero temperature, multi-D chiral crystals may be realized in different areas of the iCP. Actually, a few remarkable results have been reported in different contexts [12][13][14][15], where the formation of multi-D crystalline structures is predicted.…”

Section: Beyond the One-dimensional Structurementioning

confidence: 99%

Multi-Dimensional Structure of Crystalline Chiral Condensates in Quark Matter

Lee¹,

Nishiyama²,

Yasutake³

et al. 2017

Proceedings of the 14th International Symposium on Nuclei in the Cosmos (NIC2016)

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We explore the multi-dimensional structure of inhomogeneous chiral condensates in quark matter. For a one-dimensional structure, the system becomes unstable at finite temperature due to the NambuGoldstone excitations. However, inhomogeneous chiral condensates with multi-dimensional modulations may be realized as a true long-range order at any temperature, as inferred from the LandauPeierls theorem. We here present some possible strategies for searching the multi-dimensional structure of chiral crystals.

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“…At finite baryon density pion condensation has been conjectured in nuclear physics long ago in [6][7][8][9][10] and it seems to be a plausible possibility which, however, cannot be proved in simple models describing pion-nucleon interactions. In this paper this long-standing idea will in fact be vindicated.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous parity violation under extreme conditions: an effective lagrangian analysis

Andrianov

Espriu

2014

Eur. Phys. J. C

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We investigate how large baryon densities (and possibly high temperatures) may induce spontaneous parity violation in the composite meson sector of vector-like gauge theory (presumably QCD or techni-QCD). The analysis at intermediate energy scales is done by using an extended σ -model lagrangian that includes two scalar and two pseudoscalar multiplets and fulfills low-energy constraints for vector-like gauge theories. We elaborate on a novel mechanism of parity breaking based on the interplay between lightest and heavier meson condensates, which therefore cannot be realized in the simplest σ model. The results are relevant for idealized homogeneous and infinite nuclear (quark or techniquark) matter where the influence of the density can be examined with the help of a constant chemical potential. The model is able to describe satisfactorily the firstorder phase transition to stable nuclear matter, and it predicts a second-order phase transition to a state where parity is spontaneously broken. We argue that the parity breaking phenomenon is quite generic when a large enough chemical potential is present. Current quark masses are explicitly taken into account in this work and shown not to change the general conclusions.

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Pion condensation and stability of abnormal nuclei

Cited by 34 publications

References 9 publications

Nonlinear boundary dynamics and chiral symmetry in holographic QCD

Nonlinear boundary dynamics and chiral symmetry in holographic QCD

Multi-Dimensional Structure of Crystalline Chiral Condensates in Quark Matter

Spontaneous parity violation under extreme conditions: an effective lagrangian analysis

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