Summary
The recently developed Hartree approximation for the\(\varphi _2^4 \) quantum soliton is reviwed. Higher-order corrections to the soliton mass can be worked out by utilizing the high-precision coupled cluster method with arbitrary accuracy. A preliminary test indicates the necessity for further investigations, as the used truncation scheme, which ignored all continuum excitations, becomes unreliable when approaching the critical region.
Riassunto
Si esamina l’approssimazione di Hartree sviluppata recentemente per il solitone quantico\(\varphi _2^4 \). Si calcolano correzioni d’ordine superiore alla massa solitonica utilizzando il metodo ad alta precisione del cluster accoppiato con accuratezza arbitraria. Un test preliminare indica la necessità di ulteriori ricerche, poichè lo schema di troncamento usato, che ignora tutte le eccitazioni nel continuo, diventa inattendibile quando si ci avvicina alla regione critica.
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Altenbokum, M., Kaulfuss, U.B. A proposal for an improved treatment of the\(\varphi _2^4 \) quantum solitonquantum soliton. Nuov Cim A 89, 267–275 (1985). https://doi.org/10.1007/BF02782089
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DOI: https://doi.org/10.1007/BF02782089