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Trace anomaly induced effective action for 2D and 4D dilaton coupled scalars

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abstract

The spherically symmetric reduction of higher dimensional Einstein-scalar theory leads to lower dimensional dilatonic gravity with dilaton coupled scalar (for example, from 4D to 2D system). We calculate trace anomaly and anomaly induced effective action for 2D and 4D dilaton coupled scalars. The large-N effective action for 2D quantum dilaton-scalar gravity is also found. These 2D results maybe applied for analysis of 4D spherical collapse. The role of new, dilaton dependent terms in trace anomaly for 2D black holes and Hawking radiation is investigated in some specific models of dilatonic gravity which represent modification of CGHS model. The conformal sector for 4D dilatonic gravity is constructed. Quantum back-reaction of dilaton coupled matter is briefly discussed (it may lead to the inflationary Universe with non-trivial dilaton).

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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  • Anomaly-driven evaporation endpoints of a two-dimensional regular black hole hep-th · 2026-06-08 · unverdicted · none · ref 23 · internal anchor

    The FFN dilaton-coupled anomaly model applied to the 2D Bardeen-like black hole enforces r_∞=√2 ℓ for quiescent finite-radius branches and excludes most null branches except the borderline p=2 power-law case under stronger state-tail decay.