Evolution of a kink-antikink ensemble in a quantum vacuum

Fuente: arXiv
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Autori principali: Mukhopadhyay, Mainak, Murase, Kohta, Naruko, Atsushi, Zahariade, George
Natura: Preprint
Pubblicazione: 2025
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author Mukhopadhyay, Mainak
Murase, Kohta
Naruko, Atsushi
Zahariade, George
author_facet Mukhopadhyay, Mainak
Murase, Kohta
Naruko, Atsushi
Zahariade, George
contents We study the $1+1$ flat spacetime dynamics of a classical field configuration corresponding to an ensemble of sine-Gordon kinks and antikinks, semi-classically coupled to a quantum field. This coupling breaks the integrability of the sine-Gordon model resulting in the background's decay into quantum radiation as kink-antikink pairs annihilate. We find evidence that, on average, the energy of the ensemble scales as $t^{-α}$ with $α<1$ and independent of the coupling strength or the mass of the quantum field. The generalization of this result to domain wall networks in higher spacetime dimensions could be relevant to particle production in the early universe.
format Preprint
id arxiv_https___arxiv_org_abs_2503_03808
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Evolution of a kink-antikink ensemble in a quantum vacuum
Mukhopadhyay, Mainak
Murase, Kohta
Naruko, Atsushi
Zahariade, George
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
Other Condensed Matter
High Energy Physics - Phenomenology
We study the $1+1$ flat spacetime dynamics of a classical field configuration corresponding to an ensemble of sine-Gordon kinks and antikinks, semi-classically coupled to a quantum field. This coupling breaks the integrability of the sine-Gordon model resulting in the background's decay into quantum radiation as kink-antikink pairs annihilate. We find evidence that, on average, the energy of the ensemble scales as $t^{-α}$ with $α<1$ and independent of the coupling strength or the mass of the quantum field. The generalization of this result to domain wall networks in higher spacetime dimensions could be relevant to particle production in the early universe.
title Evolution of a kink-antikink ensemble in a quantum vacuum
topic High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
Other Condensed Matter
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2503.03808