Related papers: Background Field Method and Initial-Time Singularity for Coherent States

Background Field Method and Initial-Time Singularity for Coherent States

URL: http://arxiv.org/abs/2108.13235v1
Date: Mon, 30 Aug 2021 13:43:40 GMT
Title: Background Field Method and Initial-Time Singularity for Coherent States
Authors: Lasha Berezhiani, Giordano Cintia, Michael Zantedeschi
Abstract summary: The background field method is adopted for studying the dynamics of coherent states within an interacting scalar field theory. The quantum depletion of the expectation value of the field-operator is demonstrated to be due to the annihilation of the condensate constituents into relativistic quanta.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The background field method is adopted for studying the dynamics of coherent states within an interacting scalar field theory. Focusing on a coherent state that corresponds to the homogeneous condensate, the quantum depletion of the expectation value of the field-operator is demonstrated to be due to the annihilation of the condensate constituents into relativistic quanta. Moreover, due to the fact that the initial field acceleration and energy for the non-squeezed coherent states are determined in terms of bare coupling constant, instead of the renormalized one, the appearance of perturbative singularities is shown to be inevitable. In other words, consistency of these states requires the finiteness of the bare coupling constant, through the resummation.

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