A simple method for one-loop renormalization in curved space-time

@article{Markkanen2013ASM,
  title={A simple method for one-loop renormalization in curved space-time},
  author={Tommi Markkanen and Anders Tranberg},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2013},
  volume={2013},
  pages={045-045}
}
We present a simple method for deriving the renormalization counterterms from the components of the energy-momentum tensor in curved space-time. This method allows control over the finite parts of the counterterms and provides explicit expressions for each term separately. As an example, the method is used for the self-interacting scalar field in a Friedmann-Robertson-Walker metric in the adiabatic approximation, where we calculate the renormalized equation of motion for the field and the… Expand
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References

SHOWING 1-10 OF 85 REFERENCES
Renormalization of Interacting Scalar Field Theories in Curved Space-time
The renormalization of interacting scalar field theories in general curved space-times is discussed. The background-field method is used to calculate the effective action. Divergences are analyzedExpand
One-loop $λφ^4$ theory in Robertson-Walker spacetimes: adiabatic regularization and analytic approximation
We study a scalar field with quartic self-coupling in a Robertson-Walker spacetime at one-loop order. A variation of the adiabatic regularization method is presented which leads to analyticExpand
Quantum corrections to inflaton and curvaton dynamics
We compute the fully renormalized one-loop effective action for two interacting and self-interacting scalar fields in FRW space-time. We then derive and solve the quantum corrected equations ofExpand
Renormalized evolution equations for the back-reaction problem with a self-interacting scalar field.
  • Paz, Mazzitelli
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1988
TLDR
The renormalized equations which rule the evolution of the mean value of the field and the metric of the spacetime for the lambdaphi/sup 4/ theory and its relevance in the study of phase transitions in the early Universe are presented. Expand
Renormalization in the theory of a quantized scalar field interacting with a robertson-walker spacetime☆
Abstract We demonstrate the possibility of removing the divergences in the energy-momentum tensor by identifying divergent terms with renormalizations of the coupling constants in the gravitationalExpand
Renormalization group and decoupling in curved space, II. The standard model and beyond
We continue the study of the renormalization group and decoupling of massive fields in curved space, started in [1] and analyse the higher derivative sector of the vacuum metric-dependent action ofExpand
Zero-point quantum fluctuations in cosmology
We re-examine the classic problem of the renormalization of zero-point quantum fluctuations in a Friedmann-Robertson-Walker background. We discuss a number of issues that arise when regularizing theExpand
Conformal anomalies for interacting scalar fields in curved spacetime
The occurrence of anomalies in the trace of the energy-momentum tensor for scalar field theories in curved space-time is discussed. For the special case of spherical space-time, an O(n + 1)Expand
Adiabatic regularization of the energy momentum tensor of a quantized field in homogeneous spaces
In the theory of a quantized scalar field interacting with the classical Einstein gravitational field, the formal expression for the energy-momentum tensor has infinite expectation values. We proposeExpand
Trace anomalies and ?f4 theory in curved space
Abstract It is shown for a conformally invariant λφ 4 theory in a weakly curved background, how to extend previous results to obtain full information about the trace anomaly in perturbation theory,Expand
...
1
2
3
4
5
...