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Quantum Brownian motion induced by fluctuating boundaries and compactification.

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Title: Quantum Brownian motion induced by fluctuating boundaries and compactification.
Authors: Guedes, Eliza M. B.1 (AUTHOR) eliza.brito@academico.ufpb.br, Mota, Herondy1 (AUTHOR) hmota@fisica.ufpb.br
Source: European Physical Journal C -- Particles & Fields. Aug2025, Vol. 85 Issue 8, p1-15. 15p.
Subjects: Brownian motion, Compactification (Mathematics), Boundary value problems, Mathematical regularization, Wave functions, Neumann boundary conditions, Scalar field theory
Abstract: In this work, we investigate the quantum Brownian motion of a point charge arising as a consequence of two fluctuating point-like boundaries. The study considers Dirichlet, Neumann, and mixed boundary conditions imposed on a real massless scalar field. Additionally, we analyze the effects of a fluctuating compactification length on the random motion of the point charge, induced by the imposition of a quasi-periodic condition on the scalar field. By associating a wave function with the length scale of each system, we demonstrate that typical divergences, which commonly appear in scenarios with fixed boundaries and compactification size, are effectively smoothed out. This approach generalizes and extends previous results found in the literature, offering new insights into the regularization of divergences appearing in idealized systems. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Quantum Brownian motion induced by fluctuating boundaries and compactification.
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Aug2025, Vol. 85 Issue 8, p1-15. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Brownian+motion%22">Brownian motion</searchLink><br /><searchLink fieldCode="DE" term="%22Compactification+%28Mathematics%29%22">Compactification (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+regularization%22">Mathematical regularization</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+functions%22">Wave functions</searchLink><br /><searchLink fieldCode="DE" term="%22Neumann+boundary+conditions%22">Neumann boundary conditions</searchLink><br /><searchLink fieldCode="DE" term="%22Scalar+field+theory%22">Scalar field theory</searchLink>
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  Data: In this work, we investigate the quantum Brownian motion of a point charge arising as a consequence of two fluctuating point-like boundaries. The study considers Dirichlet, Neumann, and mixed boundary conditions imposed on a real massless scalar field. Additionally, we analyze the effects of a fluctuating compactification length on the random motion of the point charge, induced by the imposition of a quasi-periodic condition on the scalar field. By associating a wave function with the length scale of each system, we demonstrate that typical divergences, which commonly appear in scenarios with fixed boundaries and compactification size, are effectively smoothed out. This approach generalizes and extends previous results found in the literature, offering new insights into the regularization of divergences appearing in idealized systems. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Type: general
      – SubjectFull: Compactification (Mathematics)
        Type: general
      – SubjectFull: Boundary value problems
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      – SubjectFull: Mathematical regularization
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      – SubjectFull: Wave functions
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      – SubjectFull: Neumann boundary conditions
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      – SubjectFull: Scalar field theory
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              Text: Aug2025
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