20–23 Oct 2026
University of Tarapacá-Arica
America/Santiago timezone

Polylogarithmic matching at spatial infinity: the massless scalar field

Not scheduled
15m
To be announced (University of Tarapacá-Arica)

To be announced

University of Tarapacá-Arica

Av. General Velásquez 1775, Arica, Chile

Speaker

Mr Claudio Pérez

Description

We revisit the asymptotic structure of the massless scalar field on four-dimensional Minkowski space, aiming to probe a broader class of field configurations and the conserved quantities they carry. To this end, we relax the standard asymptotic behaviour of the field by allowing polylogarithmic terms that decay at spatial infinity, extending the usual expansion beyond its leading fall-off. Within this relaxed setting we find new infinite towers of conserved charges, encoded in the subleading structure of the field near spatial infinity. The appearance of logarithmic branches indicates that the matching of the asymptotic data between past and future null infinity is more subtle than in the standard case: rather than relating single orders of the expansion, it appears to mix different sectors, pointing to a non-trivial structure of matching conditions. We regard these findings as a first step toward a more complete understanding of the infrared structure of the massless scalar field and its asymptotic symmetries.

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