On the integration of fields and quanta in time dependent backgrounds
Author
dc.contributor.author
Castillo, Esteban
Author
dc.contributor.author
Koch, Benjamin
es_CL
Author
dc.contributor.author
Palma Quilodrán, Gonzalo
es_CL
Admission date
dc.date.accessioned
2014-12-15T20:34:06Z
Available date
dc.date.available
2014-12-15T20:34:06Z
Publication date
dc.date.issued
2014
Cita de ítem
dc.identifier.citation
Journal of High Energy Physics May 2014, 1405:111
en_US
Identifier
dc.identifier.other
doi:10.1007/JHEP05(2014)111
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/126616
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
Field theories with global continuous symmetries may admit configurations in
which time translation invariance is broken by the movement of homogeneous background
fields evolving along the flat directions implied by the symmetries. In this context, the field
fluctuations along the broken symmetry are well parametrized by a Goldstone boson field
that may non-trivially interact with other fields present in the theory. These interactions
violate Lorentz invariance as a result of the broken time translation invariance of the
background, producing a mixing between the field content and the particle spectrum of
the theory. In this article we study the effects of such interactions on the low energy
dynamics of the Goldstone boson quanta, paying special attention to the role of the particle
spectrum of the theory. By studying the particular case of a canonical two-field model with
a mexican-hat potential, we analyze the derivation of the low energy effective field theory
for the Goldstone boson, and discuss in detail the distinction between integrating fields v/s
integrating quanta, to finally conclude that they are equivalent. In addition, we discuss
the implications of our analysis for the study of systems where time translation invariance
is broken, such as cosmic inflation and time crystals.