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Information × Registration Number 0226U001096, (0124U002149) , R & D reports Title Topological defects and condensates in systems of strongly interacting particles under extreme conditions popup.stage_title Дослідження ефектів, індукованих топологічним дефектом в квантовому матеріальному середовищі в екстремальних умовах. Дослідження фазової діаграми мезонної системи при збереженні ізотопічного спіну (квантовопольовий та функціональний підходи). Head Anchyshkin Dmytro V., д.ф.-м.н.Horkavenko Volodymyr M., Кандидат фізико-математичних наук Registration Date 21-01-2026 Organization Department for special training National academy of science of Ukraine at Kiev University popup.description1 The purpose of the project is to obtain a better theoretical understanding of the structure and properties of condensates, which in most modern quantum and quantum field models of elementary particle physics represent the ground state of the system. An important scientific purpose of the proposed investigation is to clarify the role of topological defects and their influence on the properties of bosonic and fermionic systems of quantum matter under extreme conditions. popup.description2 Quantum effects induced by a magnetic topological defect were considered within a model of a magnetic-field–impenetrable tube for matter fields. Such defects may correspond to Abrikosov vortices in type-II superconductors, disclinations in nanoconic structures of two-dimensional materials such as graphene, or cosmic strings in astrophysics. The dependence of the induced quantum effects (the total induced energy) in flat spacetime on the curvature coupling coupling ξ describing the interaction of a scalar field with spacetime curvature was investigated for generalized Robin boundary conditions. The results were obtained for (2+1)- and (3+1)-dimensional spacetimes, generalized to arbitrary spacetime dimension, and the effect of the tube thickness was analyzed. The dependence of the induced magnetic flux in a fermionic matter field in the presence of a magnetic impenetrable tube in (3+1)-dimensional spacetime on the tube thickness was also studied. By requiring the finiteness of the induced magnetic flux, the choice of boundary conditions on the tube surface was restricted to a single admissible option, namely the MIT (quark bag) boundary condition.The thermodynamic properties of an interacting relativistic system of bosonic particles and antiparticles have been investigated. It is shown that at a constant isospin (charge) density, such a system exhibits four types of phase transitions to the Bose-Einstein condensate phase. Three types belong to the second-order phase transition and one to the first. It is shown that in a system without interaction, the condensate is formed exclusively by particles that determine the excess charge. And the symmetry breaking of the ground state at zero temperature is the result of a first-order phase transition associated with the formation of a Bose-Einstein condensate. Although the transition involves symmetry breaking, it is not spontaneous in the strict field-theoretic sense, but is instead induced by external particle injection. Product Description popup.authors Hnatovskyi Volodymyr O. Iryna V. Kondakova Vladyslav O. Karpenko Tsarenkova Mariia S. Denys V. Zhuravel popup.nrat_date 2026-01-21 Close