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Background Field Method and Initial-Time Singularity for Coherent States
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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.
Forward citations
Cited by 3 Pith papers
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Probabilistic Causality from Graviton Fluctuations
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Coherence and Quantum Stability of Relativistic Superfluid States
A charged scalar condensate is quantum-stable to all perturbative orders when it is described by the interacting vacuum of fluctuations, a non-Gaussian dressed coherent state that is an eigenstate of H minus mu Q.
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Coherent States in Gauge Theories: Topological Defects and Other Classical Configurations
Classical configurations in gauge theories, including the Nielsen-Olesen string, are constructed as BRST-invariant coherent states whose topological charge is an infinite occupation number of zero-momentum modes.
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