Oct 23 – 25, 2019
Aula Gerace
Europe/Rome timezone
We had been hoping to be able to hold the conference on the originally scheduled period in October 2021 but given the pandemic situation we have decided to postpone the conference period to October 2022.

The vacuum as a Lagrangian subspace

Oct 25, 2019, 3:47 PM
Aula Gerace

Aula Gerace

Polo Fibonacci Edificio C Largo B. Pontecorvo, 3 56127 Pisa
poster Fundamental Interacions Posters and Coffee


Daniele Colosi (Universidad Nacional Autonoma de Mexico)


We unify and generalize the notions of vacuum and amplitude in linear quantum field theory in curved spacetime. Crucially, the generalized notion admits a localization in spacetime regions and on hypersurfaces. The underlying concept is that of a Lagrangian subspace of the space of complexified germs of solutions of the equations of motion on hypersurfaces. Traditional vacua and traditional amplitudes correspond to the special cases of definite and real Lagrangian subspaces respectively. Further, we introduce both infinitesimal and asymptotic methods for vacuum selection that involve a localized version of Wick rotation.A recurrent theme is the occurrence of mixed vacua, where propagating solutions yield definite Lagrangian subspaces and evanescent solutions yield real Lagrangian subspaces. We provide examples that cover Minkowski space, Rindler space, Euclidean space and de Sitter space. A simple formula allows for the calculation of expectation values for observables in the generalized vacua.

Primary author

Daniele Colosi (Universidad Nacional Autonoma de Mexico)

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