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Autor principal: de Alwis, S. P.
Formato: Preprint
Publicado: 2023
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Acceso en línea:https://arxiv.org/abs/2305.11786
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author de Alwis, S. P.
author_facet de Alwis, S. P.
contents We revisit the formalism for tunneling in quantum field theory developed by Coleman and collaborators. In particular using the generalization of WKB methods for tunneling in quantum mechanics we avoid the problems with negative eigenvalues and convexity issues associated with Coleman's approach. While the exponential factor is the same, we find differences in the pre-factor. Then we point out that to actually discuss the time evolution of the state, we need a wave packet formulation which we proceed to discuss. Next we address the problem of justifying the application of semi-classical tunneling calculations to the decay of the standard model vacuum, where the classical potential signifies absolute stability, though the effective potential appears to imply the possibility of meta-stability (with more than one local minimum). This is in contrast to the usual situation in applications of the formalism for tunneling, where the \textit{classical} potential has more than one local minimum.
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publishDate 2023
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spellingShingle Revisiting Vacuum decay in Field Theory
de Alwis, S. P.
High Energy Physics - Theory
High Energy Physics - Phenomenology
We revisit the formalism for tunneling in quantum field theory developed by Coleman and collaborators. In particular using the generalization of WKB methods for tunneling in quantum mechanics we avoid the problems with negative eigenvalues and convexity issues associated with Coleman's approach. While the exponential factor is the same, we find differences in the pre-factor. Then we point out that to actually discuss the time evolution of the state, we need a wave packet formulation which we proceed to discuss. Next we address the problem of justifying the application of semi-classical tunneling calculations to the decay of the standard model vacuum, where the classical potential signifies absolute stability, though the effective potential appears to imply the possibility of meta-stability (with more than one local minimum). This is in contrast to the usual situation in applications of the formalism for tunneling, where the \textit{classical} potential has more than one local minimum.
title Revisiting Vacuum decay in Field Theory
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2305.11786