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Finite-size effects on the Phase Structure of the Walecka Model

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arxiv 1711.07934 v1 pith:RRRRN47S submitted 2017-11-21 nucl-th hep-phhep-th

classification nucl-thhep-phhep-th
keywords phasedimensionsspatialsystemcompactifiedeffectsfinite-sizelength
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In this work we investigate the finite-size effects on the phase structure of Walecka model within the framework of generalized Zeta-function, focusing on the influence of temperature as well as the number and length of compactified spatial dimensions. Here we concentrate on the situation of larger values of the coupling between the scalar and fermion fields, in which a phase transition of first order takes place. The phase transitions are analyzed and compared with the system in the situations of one, two and three compactified spatial dimensions. Our findings suggest that the thermodynamic behavior of the system depends on the length and number of spatial dimensions, with the symmetric phase being favored as the size of the system diminishes.

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Cited by 3 Pith papers

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

  1. Finite-size effects and scaling properties of chiral and baryon-number fluctuations

    hep-ph 2025-10 conditional novelty 5.0 of 10

    In an effective chiral model retaining only the zero field mode, finite volume smooths the transition, regulates critical fluctuations, and shifts the baryon-kurtosis peak to lower collision energies.

  2. Dynamical quark mass and finite volume effects in the Dyson-Schwinger Equations

    hep-ph 2025-08 conditional novelty 4.0 of 10

    In a Dyson-Schwinger model with spherical finite-volume corrections and magnetic-field-dependent coupling, constituent quark masses fall by about 30-40% as the fireball radius shrinks from infinity to 2 fm.

  3. Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints

    hep-ph 2024-12 conditional novelty 4.0 of 10

    Finite-volume momentum-space constraints in a mean-field quark-meson model shift the critical endpoint significantly for L<10 fm and displace baryon fluctuation signals, with the shift direction depending on the chose...

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