Chiral soliton lattice in QCD-like theories

Brauner, Tomáš; Filios, Georgios; Kolešová, Helena

doi:10.1007/jhep12(2019)029

Cited by 24 publications

(20 citation statements)

References 45 publications

(76 reference statements)

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“…This CSL is a universal state of matter in that it appears in various systems from condensed matter physics to JHEP07(2020)196 high-energy physics, such as chiral magnets [12,13], cholesteric liquid crystals [14], and QCD at finite µ B in an external magnetic field [15]; see also refs. [16,17] for the CSL in QCD-like theories without the fermion sign problem.…”

Section: Introductionmentioning

confidence: 99%

Topological term, QCD anomaly, and the η′ chiral soliton lattice in rotating baryonic matter

Nishimura

Yamamoto

2020

J. High Energ. Phys.

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We study the ground states of low-density hadronic matter and high-density color-flavor locked color superconducting phase in three-flavor QCD at finite baryon chemical potential under rotation. We find that, in both cases under sufficiently fast rotation, the combination of the rotation-induced topological term for the η meson and the QCD anomaly leads to an inhomogeneous condensate of the η meson, known as the chiral soliton lattice (CSL). We find that, when baryon chemical potential is much larger than isospin chemical potential, the critical angular velocity for the realization of the η CSL is much smaller than that for the π 0 CSL found previously. We also argue that the η CSL states in flavor-symmetric QCD at low density and high density should be continuously connected, extending the quark-hadron continuity conjecture in the presence of the rotation.

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Section: Introductionmentioning

confidence: 99%

Topological term, QCD anomaly, and the η′ chiral soliton lattice in rotating baryonic matter

Nishimura

Yamamoto

2020

J. High Energ. Phys.

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“…A rotonlike dip in the dispersion relation can represent the hint of a nearby modulated phase [50]. So, inverting the logic of the previous paragraph, the phonon we are studying can be thought of as a gapless rotonlike dip within a shiftonic dispersion curve.…”

Section: "Particle" Content and First Optical Branchmentioning

confidence: 86%

“…Similar configurations have recently been shown to be relevant in QCD and referred to with the name chiral soliton lattices [49,50]. 17 The new higher-derivative term appeared to be necessary to obtain backgrounds which feature a propagating shifton mode and pass the stability checks.…”

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confidence: 80%

Independent Goldstone modes for translations and shift symmetry from a real modulated scalar

Musso¹,

Naegels²

2020

Phys. Rev. D

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We study a massive real scalar field that breaks translation symmetry dynamically. Higher-gradient terms favor modulated configurations, and neither finite density nor temperature are needed. In the broken phase, the energy density depends on the spatial position and the linear fluctuations show phononic dispersion. We then study a related massless scalar model where the modulated vacua also break the field shift symmetry and give rise to an additional Nambu-Goldstone mode, the shifton. We discuss the independence of the shifton and the phonon and draw an analogy to rotons in superfluids. Proceeding from first principles, we reobtain and generalize some standard results for one-dimensional lattices. Eventually, we prove stability against geometric deformations extending existing analyses for elastic media to the higher-derivative cases.

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“…In a QCD-like theory with two light quark flavors of electric charges q u , q d , each of which carries baryon number b, the low-energy dynamics of neutral pions π 0 (ignoring all other low-energy excitations possibly present) is governed by the following effective Lagrangian in flat four-dimensional Minkowski spacetime [77],…”

Section: The (P Q) = (0 1) Casementioning

confidence: 99%

Field theories with higher-group symmetry from composite currents

Brauner

2021

J. High Energ. Phys.

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Higher-form symmetries are associated with transformations that only act on extended objects, not on point particles. Typically, higher-form symmetries live alongside ordinary, point-particle (0-form), symmetries and they can be jointly described in terms of a direct product symmetry group. However, when the actions of 0-form and higher-form symmetries become entangled, a more general mathematical structure is required, related to higher categorical groups. Systems with continuous higher-group symmetry were previously constructed in a top-down manner, descending from quantum field theories with a specific mixed ’t Hooft anomaly. I show that higher-group symmetry also naturally emerges from a bottom-up, low-energy perspective, when the physical system at hand contains at least two different given, spontaneously broken symmetries. This leads generically to a hierarchy of emergent higher-form symmetries, corresponding to the Grassmann algebra of topological currents of the theory, with an underlying higher-group structure. Examples of physical systems featuring such higher-group symmetry include superfluid mixtures and variants of axion electrodynamics.

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Chiral soliton lattice in QCD-like theories

Cited by 24 publications

References 45 publications

Topological term, QCD anomaly, and the η′ chiral soliton lattice in rotating baryonic matter

Topological term, QCD anomaly, and the η′ chiral soliton lattice in rotating baryonic matter

Independent Goldstone modes for translations and shift symmetry from a real modulated scalar

Field theories with higher-group symmetry from composite currents

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