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17–24 Jul 2024
Prague
Europe/Prague timezone

Celestial amplitudes for Goldstone bosons and soft theorems

19 Jul 2024, 19:00
2h
Foyer Floor 2

Foyer Floor 2

Poster 10. Formal Theory Poster Session 2

Speaker

Petr Vasko (Charles University)

Description

The S-matrix for a QFT in 4D Minkowski space is an inherently holographic object, i.e. defined at the (conformal) boundary of spacetime. A section of this boundary is the celestial 2-sphere and Lorentz group acts on it by conformal transformations. I will briefly review scattering, when translated from the basis of plane waves (translation eigenstates) to the conformal basis (dilatation eigenstates). The resulting object is called a celestial amplitude and the change of basis is implemented for massless particles by a Mellin transform. I will apply this formalism to amplitudes of Goldstone bosons with an emphasis on their soft theorems. The illustrative example will be the U(1) (non)-linear sigma model.

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Primary author

Petr Vasko (Charles University)

Presentation materials

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