Crystalline phases by an improved gradient expansion technique

Carignano, Stefano; Mannarelli, Massimo; Anzuini, Filippo; Benhar, Omar

doi:10.1103/physrevd.97.036009

Cited by 27 publications

(48 citation statements)

References 36 publications

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“…There are a number of interesting open problems that deserve further attention, including the study of inhomogeneous phases, possibly using the extension of the GL Lagrangian of [48], semi-local strings [49,50] in external magnetic fields, which we plan to pursue in future work. and is identical to that of the pion condensed phase in threecolor QCD [25].…”

Section: Discussionmentioning

confidence: 99%

Finite density two color chiral perturbation theory revisited

2018

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We revisit two-color, two-flavor chiral perturbation theory at finite isospin and baryon density. We investigate the phase diagram obtained varying the isospin and the baryon chemical potentials, focusing on the phase transition occurring when the two chemical potentials are equal and exceed the pion mass (which is degenerate with the diquark mass). In this case, there is a change in the order parameter of the theory that does not lend itself to the standard picture of first order transitions. We explore this phase transition both within a Ginzburg-Landau framework valid in a limited parameter space and then by inspecting the full chiral Lagrangian in all the accessible parameter space. Across the phase transition between the two broken phases the order parameter becomes an SU (2) doublet, with the ground state fixing the expectation value of the sum of the magnitude squared of the pion and the diquark fields. Furthermore, we find that the Lagrangian at equal chemical potentials is invariant under global SU (2) transformations and construct the effective Lagrangian of the three Goldstone degrees of freedom by integrating out the radial fluctuations.

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Section: Discussionmentioning

confidence: 99%

Finite density two color chiral perturbation theory revisited

2018

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“…Whether this is indeed the case is however difficult to tell from our analysis since the numerical-diagonalization method suffers from a limited resolution, in particular near the phase boundary to the restored phase, while the GL expansion is valid only near the LP. The improved GL expansion developed in [18] might provide the tool required for this type of investigation.…”

Section: Discussionmentioning

confidence: 99%

“…It is also more favored than all other shapes (including higher-dimensional modulations) which have been tested so far either by numerical diagonalization of the Hamiltonian [3] or within GinzburgLandau studies [17,18].…”

Section: Model and Basic Formalismmentioning

confidence: 99%

“…It might be possible to extend the regime of validity of the present GL analysis further away from the Lifshitz point by following the procedure developed in [18]. A consistent implementation of this so-called "improved GL expansion" would require in our case the computation of higher-order coefficients associated with the vector mean field, a task which we postpone to future work.…”

Section: Ginzburg-landau Expansionmentioning

confidence: 99%

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Influence of vector interactions on the favored shape of inhomogeneous chiral condensates

Carignano¹,

Schramm

Buballa

2018

Phys. Rev. D

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We update a previous study of the effects of vector interactions in the Nambu-Jona-Lasinio model on the formation of inhomogeneous chiral symmetry breaking condensates. In particular, by properly considering a spatially modulated vector mean field associated with the quark number density of the system we show that, as the value of the vector coupling increases, a chiral density wave modulation can become thermodynamically favored over a real sinusoidal modulation. This behavior is found both via a GinzburgLandau analysis close to the Lifshitz point, as well as with a full numerical diagonalization of the meanfield Dirac Hamiltonian at vanishing temperature.

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“…One of the major strategies is to apply the mean-field approximation [5][6][7][8] or the Ginzburg-Landau (gradient) expansion [9][10][11] to the quark-based models such as NJL-type models or the quark-meson model [12]. Recently a self-consistent mean-field framework has also been applied [13].…”

Section: Introductionmentioning

confidence: 99%

Novel dual chiral density wave in nuclear matter based on a parity doublet structure

2018

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We study the dual chiral density wave (DCDW) in nuclear matter using a hadronic model with the parity doublet structure. We first extend the ordinary DCDW ansatz so as to incorporate the effect of an explicit chiral symmetry breaking. Then via numerically evaluating and minimizing the effective potential, we determine the phase structure. We find, in addition to the ordinary DCDW phase where the space average of the chiral condensate vanishes, a new DCDW phase with a nonvanishing space average depending on the value of the chiral invariant mass parameter.

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Crystalline phases by an improved gradient expansion technique

Cited by 27 publications

References 36 publications

Finite density two color chiral perturbation theory revisited

Finite density two color chiral perturbation theory revisited

Influence of vector interactions on the favored shape of inhomogeneous chiral condensates

Novel dual chiral density wave in nuclear matter based on a parity doublet structure

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