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The boundary effect of anomaly-induced action
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We discuss the boundary effect of anomaly-induced action in two-dimensional spacetime, which is ignored in previous studies. Anomaly-induced action, which gives the stress tensor with the same trace as the trace anomaly, can be represented in terms of local operators by introducing an auxiliary scalar field. Although the degrees of freedom of the auxiliary field can in principle describe the quantum states of the original field, the principal relation between them was unclear. We show here that, by considering the boundary effect, the solutions of classical auxiliary fields are naturally related to the quantum states of the original field. We demonstrate this conclusion via several examples such as the flat, black hole and the de Sitter spacetime.
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Cited by 2 Pith papers
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Inner horizon instability via the trace anomaly effective action
The anomaly-induced effective action can reproduce the Hartle-Hawking stress-energy divergence at the Cauchy horizon of Reissner-Nordström, but lacks enough freedom to describe the Unruh state.
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Boulware Vacuum vs. Regularity: Thoughts on Anomaly-Induced Effective Action
In four-dimensional horizonless Bardeen-type spacetimes, the anomaly-induced effective action, combined with central regularity of the renormalized stress-energy tensor, selects a non-Boulware vacuum with a linearly g...
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