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Quark-meson-diquark model for two-color QCD

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arxiv 1112.5401 v2 pith:KUDNISUI submitted 2011-12-22 hep-ph hep-thnucl-th

classification hep-phhep-thnucl-th
keywords modeltwo-colorbaryoniccriticaldescribeddynamicsendpointfunctional
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce a two-flavor quark-meson-diquark model for two-color QCD and its extensions to include gauge-field dynamics as described by the Polakov loop. Grand potential and phase structure are being studied both in mean-field approximation and with the functional renormalization group. The model provides an explicit example for the importance of baryonic degrees of freedom: When they are omitted, the phase diagram closely resembles that of the corresponding (Polyakov)-quark-meson models for QCD, in particular including their critical endpoint. In order to reproduce the well established main features based on the symmetries and breaking patterns of two-color QCD, however, they must be included and there is no critical endpoint. The competing dynamics of collective mesonic and baryonic fluctuations is well described by the functional renormalization group equation in lowest order derivative expansion for the effective potential which we solve numerically on a two-dimensional grid in field space.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  3. Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field

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    Including mesonic fluctuations beyond mean field substantially modifies the phase structure of the quark-meson-diquark model, with diquark condensation dominating for strong couplings as analyzed via diquark pole mass...

  4. Speed of sound peak in two-color dense QCD: confronting effective models with lattice data

    hep-ph 2025-10 conditional novelty 6.0 of 10

    A medium-separated NJL model reproduces the lattice-observed peak in the speed of sound for two-color dense QCD, where conventional cutoff regularization fails.

  5. Renormalizing the Quark-Meson-Diquark Model

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    Renormalized and two RG-consistent versions of the Quark-Meson-Diquark model reproduce the BCS relation and Stefan-Boltzmann limit at high density, while the sigma-delta scheme violates the BCS relation.

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