Physical momentum representation of scalar field correlators in de Sitter space
arXiv:1212.6077 · doi:10.1103/PhysRevD.87.045020
Abstract
We propose a new approach to compute correlators of quantum fields in de Sitter space. It is based on nonequilibrium field theory techniques, and exploits de Sitter symmetries so as to partially reduce the number of independent variables of n-point functions in a manner that preserves the usefulness of a momentum representation, e.g., for writing spatial convolution integrals as simple products. In this representation, the two-point function of a scalar field only depends on two physical momenta, and the corresponding Schwinger-Dyson evolution equations take the form of momentum flow equations. Moreover, standard diagrammatic rules can be entirely formulated in this representation. The method is suitable for analytical approximations as well as numerical implementations. In forthcoming publications, we apply it to resum infrared logarithmic terms appearing in the perturbative calculation of vertex and correlation functions.
16 pages, 9 figures; Published version (references added, typos corrected)
References in corpus (16)
- A Primer for Black Hole Quantum Physics
- Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
- On the one loop corrections to inflation and the CMB anisotropies
- Breakdown of Semiclassical Methods in de Sitter Space
- On the One Loop Corrections to Inflation II: The Consistency Relation
- On Resumming Inflationary Perturbations beyond One-loop
- On the proper treatment of massless fields in Euclidean de Sitter space
- Classical approximation to quantum cosmological correlations
- On "dynamical mass" generation in Euclidean de Sitter space
- IR divergence does not affect the gauge-invariant curvature perturbation
- Quantum field thermalization in expanding backgrounds
- Spontaneous symmetry breaking in inflationary cosmology: on the fate of Goldstone Bosons
- Dissipative fields in de Sitter and black hole spacetimes: Quantum entanglement due to pair production and dissipation
- Renormalization of the 2PI Hartree-Fock approximation on de Sitter background in the broken phase
- Dispersive fields in de Sitter space and event horizon thermodynamics
- Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime
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- An effective field theory during inflation II: stochastic dynamics and power spectrum suppression
- Scalar field correlator in de Sitter space at next-to-leading order in a 1/N expansion
- Quantum scalar fields in de Sitter space from the nonperturbative renormalization group
- Renormalization group flow and symmetry restoration in de Sitter space
- Nonperturbative renormalization group for scalar fields in de Sitter space: beyond the local potential approximation
- The Hartree approximation in curved spacetimes revisited I: the effective potential in de Sitter
- Resummation of infrared logarithms in de Sitter space via Dyson-Schwinger equations: the ladder-rainbow approximation
- Dissipative fields in de Sitter and black hole spacetimes: Quantum entanglement due to pair production and dissipation
- Backreaction of superhorizon scalar field fluctuations on a de Sitter geometry : a renormalisation group perspective
- Pre-slow roll initial conditions: large scale power suppression and infrared aspects during inflation
- Imprint of entanglement entropy in the power spectrum of inflationary fluctuations
- Massive scalar field in de Sitter spacetime: a two-loop calculation and a comparison with the stochastic approach
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- Particle creation in nonstationary large N quantum mechanics
- Unequal time correlators of stochastic scalar fields in de Sitter space
- Nonlinear dynamical Casimir effect at weak nonstationarity
- The expansion for stochastic fields in de Sitter spacetime
- Quantum quenches during inflation
- Hartree approximation in curved spacetimes revisited II: The semiclassical Einstein equations and de Sitter self-consistent solutions
- Non-linear effects in early Universe cosmology