Finite-density QCD, $\mathcal{PT}$ symmetry, and exotic phases

Schindler, Moses A.; Schindler, Stella T.; Ogilvie, Michael C.

doi:10.22323/1.396.0555

Cited by 6 publications

(4 citation statements)

References 23 publications

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“…Regimes with oscillating but exponentially suppressed correlation functions in the phase diagram were recently termed "quantum pion liquid" (in analogy to "quantum spin liquids in condensed matter systems) in higher-dimensional models and can be reached through a so-called disorder line[43]. These regimes are related to the appearance of complex-conjugate poles with non-vanishing real and imaginary part in bosonic propagators[44][45][46][47] and can also be obtained through disordering of inhomogeneous condensates by Goldstone modes of global O(N ) symmetry breaking[43,48]. This has recently been observed in higherdimensional fermionic models[18,49].…”

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confidence: 99%

Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation*

Koenigstein¹,

Pannullo²,

Rechenberger³

et al. 2022

J. Phys. A: Math. Theor.

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The phase diagram of the (1 + 1)-dimensional Gross-Neveu model is reanalyzed for (non-)zero chemical potential and (non-)zero temperature within the mean-ﬁeld approximation. By investigating the momentum dependence of the bosonic two-point function, the well-known second-order phase transition from the ℤ2 symmetric phase to the so-called inhomogeneous phase is detected. In the latter phase the chiral condensate is periodically varying in space and translational invariance is broken. This work is a proof of concept study that conﬁrms that it is possible to correctly localize second-order phase transition lines between phases without condensation and phases of spatially inhomogeneous condensation via a stability analysis of the homogeneous phase. To complement other works relying on this technique, the stability analysis is explained in detail and its limitations and successes are discussed in context of the Gross-Neveu model. Additionally, we present explicit results for the bosonic wave-function renormalization in the mean-ﬁeld approximation, which is extracted analytically from the bosonic two-point function. We ﬁnd regions – a so-called moat regime – where the wave function renormalization is negative accompanying the inhomogeneous phase as expected.

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confidence: 99%

Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation*

Koenigstein¹,

Pannullo²,

Rechenberger³

et al. 2022

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…5 Regimes with oscillating but exponentially suppressed correlation functions in the phase diagram were recently termed 'quantum pion liquid' (in analogy to "quantum spin liquids in condensed matter systems) in higherdimensional models and can be reached through a so-called disorder line [44]. These regimes are related to the appearance of complex-conjugate poles with non-vanishing real and imaginary part in bosonic propagators [45][46][47][48] and can also be obtained through disordering of inhomogeneous condensates by Goldstone modes of global O(N) symmetry breaking [44,49]. This has recently been observed in higher-dimensional fermionic models [13,50].…”

Section: Research Objectivementioning

confidence: 99%

Revisiting the spatially inhomogeneous condensates in the(1+1)-dimensional chiral Gross–Neveu model via the bosonic two-point function in the infinite-N limit

Koenigstein,

Winstel

2024

J. Phys. A: Math. Theor.

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This work shows that the known phase boundary between the phase with chiral symmetry and the phase of spatially inhomogeneous chiral symmetry breaking in the phase diagram of the (1 + 1)-dimensional chiral Gross-Neveu model can be detected from the bosonic two-point function alone and thereby confirms and extends previous results. The analysis is referred to as the stability analysis of the symmetric phase and does not require knowledge about spatial modulations of condensates. We perform this analysis in the infinite-N limit at nonzero temperature and nonzero quark and chiral chemical potentials also inside the inhomogeneous phase. Thereby we observe an interesting relation between the bosonic $1$-particle irreducible two-point vertex function of the chiral Gross-Neveu model and the spinodal line of the Gross-Neveu model.

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“…Results of one possible model were presented at this years lattice conference (Refs. [120,121]). In Ref.…”

Section: Universalitymentioning

confidence: 99%

An overview of the QCD phase diagram at finite $T$ and $\mu$

Guenther¹

2022

Proceedings of the 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)

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In recent years there has been much progress on the investigation of the QCD phase diagram with lattice QCD. This talk will focus on the developments in the last few years. Especially the addition of external influences and extended ranges of T and µ yield an increasing number of interesting results, a subset of which will be discussed. Many of these conditions are important for the understanding of both the QCD transition in the early universe and heavy ion collision experiments which are conducted for example at the LHC and RHIC. This offers many exciting opportunities for comparisons between theory and experiment.

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Finite-density QCD, $\mathcal{PT}$ symmetry, and exotic phases

Cited by 6 publications

References 23 publications

Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation*

Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation*

Revisiting the spatially inhomogeneous condensates in the(1+1)-dimensional chiral Gross–Neveu model via the bosonic two-point function in the infinite-N limit

An overview of the QCD phase diagram at finite $T$ and $\mu$

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