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We review an approach, developed over the past few years, to describe hadronic matter at finite density and temperature, whose underlying theoretical framework is the Skyrme model, an effective low energy theory rooted in large $N_c$ QCD.…

High Energy Physics - Phenomenology · Physics 2016-12-21 Byung-Yoon Park , Vicente Vento

The Skyrme model, an effective low energy theory rooted in large $N_c$ QCD, has been applied to the study of dense matter. Matter is described by various crystal structures of skyrmions. When this system is heated, the dominating thermal…

High Energy Physics - Phenomenology · Physics 2010-04-30 Byung-Yoon Park , Hee-Jung Lee , Vicente Vento

We discuss calculations of the phase diagram of the baby-Skyrme model, a two-dimensional version of the model that has been so successful in the description of baryons. Contact is made with the sine Gordon model in 1D, and relations with…

High Energy Physics - Phenomenology · Physics 2009-11-07 Oliver Schwindt , Niels R. Walet

Skyrmion crystals are the field configurations which minimize the energy per baryon in the infinitely large topological charge sector of the Skyrme model, at least for sufficiently high density. They are, therefore, an important tool to…

High Energy Physics - Theory · Physics 2022-05-04 Christoph Adam , Alberto Garcia Martin-Caro , Miguel Huidobro , Ricardo Vazquez , Andrzej Wereszczynski

We investigate the properties of triply-periodic Skyrme crystals in the generalized Skyrme model $\mathcal{L}_6 + \mathcal{L}_4 + \mathcal{L}_2+ \mathcal{L}_0$ with higher-derivative terms up to sixth order. Three different symmetry…

High Energy Physics - Theory · Physics 2017-08-23 Ilya Perapechka , Yakov Shnir

The crystalline structure of nuclear matter is investigated in the standard Skyrme model with massive pions. A semi-analytic method is developed to determine local minima of the static energy functional with respect to variations of both…

High Energy Physics - Theory · Physics 2023-10-17 Derek Harland , Paul Leask , Martin Speight

We present an explicit integration of the kink soliton equation obtained in a recent interesting study of the classical Skyrme model where the field configurations are of a generalized hedgehog form which is of a domain-wall type. We also…

Mathematical Physics · Physics 2014-06-19 Shouxin Chen , Yijun Li , Yisong Yang

Exact analytic solutions of the Skyrme model defined on a spherically symmetric $R^{(1,1)} \times S^2$ geometry, chosen to mimic finite volume effects, are presented. The static and spherically symmetric configurations have non-trivial…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Francisco Correa , Jorge Zanelli

We demonstrate that the gauged BPS baby Skyrme model with a double vacuum potential allows for phase transitions from a non-solitonic to a solitonic phase, where the latter corresponds to a ferromagnetic liquid. Such a transition can be…

High Energy Physics - Theory · Physics 2015-01-19 C. Adam , C. Naya , T. Romanczukiewicz , J. Sanchez-Guillen , A. Wereszczynski

Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both…

Nuclear Theory · Physics 2019-02-20 D. Anchishkin , I. Mishustin , H. Stoecker

The O(3) Skyrme system in two space dimensions admits topological soliton solutions. This paper studies the transition between the high-density crystalline phase of such solitons and the low-density phase where there are multi-Skyrmions…

High Energy Physics - Theory · Physics 2009-11-10 R. S. Ward

In this letter we study soliton crystals in the $(2+1)$-dimensional analogue model of the $(3+1)$-dimensional Adkins--Nappi model of nuclear physics. The baby $\omega$-Skyrme model studied here is an $O(3)$ nonlinear $\sigma$ model coupled…

High Energy Physics - Theory · Physics 2024-07-12 Paul Leask

Phases of matter are ubiquitous with everyday examples including solids and liquids. In reduced dimensions, particular phases, such as the two-dimensional (2D) hexatic phase and corresponding phase transitions occur. A particularly exciting…

We investigate the finite-temperature phase diagram of polar molecules confined in a quasi-two-dimensional geometry by a harmonic potential along the polarization axis. We employ Quantum Monte Carlo simulations to explore the strongly…

Quantum Gases · Physics 2026-05-19 Vinicius Zampronio , Matteo Ciardi , Fabio Cinti

We study chiral symmetry structure at finite density and temperature in the presence of external magnetic field and gravity, a situation relevant in the early Universe and in the core of compact stars. We then investigate the dynamical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ashok Goyal , Meenu Dahiya , Deepak Chandra

A restriction of the baby Skyrme model consisting of the quartic and potential terms only is investigated in detail for a wide range of potentials. Further, its properties are compared with those of the corresponding full baby Skyrme…

High Energy Physics - Theory · Physics 2010-04-14 C. Adam , T. Romanczukiewicz , J. Sanchez-Guillen , A. Wereszczynski

As an alternative approach to the infinite-array description of dense matter in the Skyrme model, we report about the properties of a single skyrmion on a compact 3-sphere of finite radius. The density of this matter can be increased by…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Wirzba

We explore the phase structure of a chiral model of constituent quarks and gluons implementing scale symmetry breaking at finite temperature and chemical potential. In this model the chiral dynamics is intimately linked to the trace anomaly…

High Energy Physics - Phenomenology · Physics 2015-05-30 Chihiro Sasaki , Igor Mishustin

The equation of state and phase diagram of strongly interacting matter composed of $\alpha$ particles are studied in the mean-field approximation. The particle interactions are included via a Skyrme-like mean field, containing both…

Nuclear Theory · Physics 2021-02-10 Leonid M. Satarov , Roman V. Poberezhnyuk , Igor N. Mishustin , Horst Stoecker

Laser-driven Bose-Einstein condensate of ultracold atoms loaded into a lossy high-finesse optical resonator exhibits critical behavior and, in the thermodynamic limit, a phase transition between stationary states of different symmetries.…

Quantum Physics · Physics 2014-08-25 G. Konya , D. Nagy , G. Szirmai , P. Domokos
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