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Symmetries and Metamorphoses

Journal

SYMMETRY-BASEL
Volume 12, Issue 6, Pages -

Publisher

MDPI
DOI: 10.3390/sym12060907

Keywords

quantum field theory; metamorphosis; spontaneous breakdown of symmetry; dynamical rearrangement of symmetry; boson condensation; entanglement; fractals; coherence

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In quantum field theory with spontaneous breakdown of symmetry, the invariance of the dynamics under continuous symmetry transformations manifests itself in observable ordered patterns with different symmetry properties. Such a dynamical rearrangement of symmetry describes, in well definite formal terms, metamorphosis processes. The coherence of the correlations generating order and self-similar fractal patterns plays a crucial role. The metamorphosis phenomenon is generated by the loss of infrared contributions in physical states and observables due to their localized nature. The dissipative dynamics and evolution, the arising of the arrow of time and entanglement are also discussed. The conclusions may be extended to biology and neuroscience and to some aspects of linguistics in the transition from syntax to semantics (generation of meanings).

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