# $\lambda \phi^4$ in dS

@article{Gorbenko2019lambdaI, title={\$\lambda \phi^4\$ in dS}, author={Victor Gorbenko and Leonardo Senatore}, journal={arXiv: High Energy Physics - Theory}, year={2019} }

We resolve the issue of infrared divergences present in theories of light scalar fields on de Sitter space.

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## References

SHOWING 1-10 OF 63 REFERENCES

### Proper treatment of massless fields in Euclidean de Sitter space

- Physics, Mathematics
- 2010

We analyze infrared divergences arising in calculations involving light and massless fields in de Sitter space. We show that these arise from an incorrect treatment of the constant mode of the field,…

### Global structure of the inflationary universe

- Physics
- 1999

I describe the quantum creation of black holes in de Sitter space. A single topology change can lead to the formation of multiple black holes and the eventual disconnection of large spacelike…

### Infrared instability of the de Sitter space

- Physics
- 2012

We continue to investigate various instabilities of the fixed backgrounds related to the de Sitter space. It is shown that in many cases the in/in perturbation theory contains IR/UV mixing and thus…

### Infrared correlations in de Sitter space: Field theoretic versus stochastic approach

- Physics
- 2014

We consider massive λ ϕ 4 theory in de Sitter background. The mass of the scalar field ϕ is chosen small enough, such that the amplification of superhorizon momentum modes leads to a significant…

### Infrared dynamics of the massive ϕ4 theory on de Sitter space

- Physics
- 2013

We study massive real scalar $\phi^4$ theory in the expanding Poincare patch of de Sitter space. We calculate the leading two-loop infrared contribution to the two-point function in this theory. We…

### Infrared dynamics of massive scalars from the complementary series in de Sitter space

- Mathematics
- 2017

We continue a previous study about the infrared loop effects in the $D$-dimensional de Sitter space for a real scalar ${\ensuremath{\phi}}^{4}$ theory from the complementary series whose bare mass…

### Quantum contributions to cosmological correlations

- Physics
- 2005

The 'in-in' formalism is reviewed and extended, and applied to the calculation of higher-order Gaussian and non-Gaussian correlations in cosmology. Previous calculations of these correlations…

### Scalar field correlator in de Sitter space at next-to-leading order in a 1 /N expansion

- Physics
- 2015

We study the dynamics of light quantum scalar fields in de Sitter space on superhorizon scales. We compute the self-energy of an O(N) symmetric theory at next-to-leading order in a 1/N expansion in…