| 1. |
- Gorsky, Alexander, et al.
(författare)
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Baryon and chiral symmetry breaking in holographic QCD
- 2015
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Ingår i: Physical Review D. - 1550-7998 .- 1550-2368. ; 91:12
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Tidskriftsartikel (refereegranskat)abstract
- We study the relationship between chiral symmetry breaking and baryons in holographic QCD. We construct a soliton with unit baryon charge in the presence of a nonzero mean value of the scalar bifundamental field, which is dual to the chiral condensate. We obtain a relation between the chiral condensate and the mass of the baryon and find in a clear-cut way that at large values of the condensate the holographic soliton is no longer located on the IR wall. Instead it is split into two halves, which are symmetrically located on the left and right flavor branes. On the other hand we find that the local value of the quark condensate is suppressed in the core of the soliton, which is evidence for a partial chiral symmetry restoration inside the baryon.
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| 2. |
- Gorsky, A., et al.
(författare)
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Baryon and chiral symmetry breaking
- 2014
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Ingår i: AIP Conference Proceedings. - : American Institute of Physics (AIP). - 0094-243X. - 9780735412422 ; , s. 353-359
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Konferensbidrag (refereegranskat)abstract
- We briefly review the generalized Skyrmion model for the baryon recently suggested by us. It takes into account the tower of vector and axial mesons as well as the chiral symmetry breaking. The generalized Skyrmion model provides the qualitative explanation of the Ioffe's formula for the baryon mass.
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| 3. |
- Kochergin, Daniil, et al.
(författare)
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Anatomy of the fragmented Hilbert space : Eigenvalue tunneling, quantum scars, and localization in the perturbed random regular graph
- 2023
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Ingår i: Physical Review B. - : American Physical Society (APS). - 2469-9950 .- 2469-9969. ; 108:9
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Tidskriftsartikel (refereegranskat)abstract
- We consider the properties of the random regular graph with node degree d perturbed by chemical potentials μk for a number of short k-cycles. We analyze both numerically and analytically the phase diagram of the model in the (μk,d) plane. The critical curve separating the homogeneous and clusterized phases is found and it is demonstrated that the clusterized phase itself generically is separated as the function of d into the phase with ideal clusters and phase with coupled ones when the continuous spectrum gets formed. The eigenstate spatial structure of the model is investigated and it is found that there are localized scarlike states in the delocalized part of the spectrum, that are related to the topologically equivalent nodes in the graph. We also reconsider the localization of the states in the nonperturbative band formed by eigenvalue instantons and find the semi-Poisson level spacing distribution. The Anderson transition for the case of combined (k-cycle) structural and diagonal (Anderson) disorders is investigated. It is found that the critical diagonal disorder gets reduced sharply at the clusterization phase transition but does it unevenly in nonperturbative and mid-spectrum bands, due to the scars, present in the latter. The applications of our findings to 2d quantum gravity are discussed.
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| 4. |
- Kochergin, Daniil, et al.
(författare)
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Robust extended states in Anderson model on partially disordered random regular graphs
- 2024
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Ingår i: SciPost Physics. - : SCIPOST FOUNDATION. - 2542-4653. ; 16:4
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Tidskriftsartikel (refereegranskat)abstract
- In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction beta of the sites being disordered, while the rest remain clean. It is shown that the mobility edge in the spectrum survives in a certain range of parameters (d, beta) at infinitely large uniformly distributed disorder. The critical curve separating extended and localized states is derived analytically and confirmed numerically. The duality in the localization properties between the sparse and extremely dense RRG has been found and understood.
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| 5. |
- Motamarri, Vedant R., et al.
(författare)
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Localization and fractality in disordered Russian Doll model
- 2022
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Ingår i: SciPost Physics. - : Stichting SciPost. - 2542-4653. ; 13:5
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Tidskriftsartikel (refereegranskat)abstract
- Motivated by the interplay of Bethe-Ansatz integrability and localization in the Richardson model of superconductivity, we consider a time-reversal symmetry breaking deformation of this model, known as the Russian Doll Model (RDM), and implement diagonal on-site disorder. The localization and ergodicity-breaking properties of the single-particle spectrum are analyzed using a large-energy renormalization group (RG) over the momentum-space spectrum. Based on the above RG, we derive an effective Hamiltonian of the model, discover a fractal phase of non-ergodic delocalized states with the fractal dimension different from the paradigmatic Rosenzweig-Porter model and explain it in terms of the developed RG equations and the matrix-inversion trick.
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