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We investigate the propagation of arbitrarily coupled scalar fields on the $N$-dimensional hyperbolic space ${\mathbb H}^N$. Using the $\zeta$-function regularization we compute exactly the one loop effective action. The vacuum expectation…

High Energy Physics - Theory · Physics 2009-10-31 Marco M. Caldarelli

We work in the locally de Sitter background of an inflating universe and consider a massless, minimally coupled scalar with a quartic self-interaction. We use dimensional regularization to compute the fully renormalized scalar…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T. Brunier , V. K. Onemli , R. P. Woodard

Expanding on [1], we analyze in detail the single field chaotic inflationary models plus a cosine modulation term, augmented by a light scalar field with inflaton dependent oscillatory mass term. We work out in detail the Feynman diagrams…

High Energy Physics - Theory · Physics 2020-07-01 A. A. Abolhasani , M. M. Sheikh-Jabbari

We obtain the effective inflaton potential during slow roll inflation by including the one loop quantum corrections to the energy momentum tensor from scalar curvature and tensor perturbations as well as quantum fluctuations from light…

Astrophysics · Physics 2009-11-13 D. Boyanovsky , H. J. de Vega , N. G. Sanchez

We investigate the chaotic inflationary model using the two-loop effective potential of a self-interacting scalar field theory in curved spacetime. We use the potential which contains a non-minimal scalar curvature coupling and a quartic…

High Energy Physics - Phenomenology · Physics 2015-05-20 Tomohiro Inagaki , Ryota Nakanishi , Sergei D. Odintsov

We derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function…

High Energy Physics - Theory · Physics 2018-09-20 Theodore N. Jacobson , Tonnis ter Veldhuis

We discuss the possibility of successful magnetogenesis during inflation by employing the one-loop effective action of massless QED. The action is strictly non-local and results from the long distance fluctuations of massless charged…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Basem Kamal El-Menoufi

We investigate gauge dependence of one-graviton-loop corrections to the effective field equation of the massless, minimally coupled scalar in de Sitter, obtained by including source and observer corrections to the effective self-mass…

High Energy Physics - Theory · Physics 2026-04-23 Dražen Glavan , Shun-Pei Miao , Tomislav Prokopec , Richard P. Woodard

Motivated by the success of the non-commutative scalar Grosse-Wulkenhaar model, a non-commutative U(1) gauge field theory including an oscillator-like term in the action has been put forward in arXiv:0705.4205. The aim of the current work…

High Energy Physics - Theory · Physics 2014-11-20 Daniel N. Blaschke , Harald Grosse , Erwin Kronberger , Manfred Schweda , Michael Wohlgenannt

We present a new computation of the renormalized graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. Our result takes account of the need to include a finite renormalization of the…

General Relativity and Quantum Cosmology · Physics 2024-05-02 S. P. Miao , N. C. Tsamis , R. P. Woodard

Motivated by the prospect of testing inflation from precision cosmic microwave background observations, we present analytic results for scalar and tensor perturbations in single-field inflation models based on the application of uniform…

Astrophysics · Physics 2009-11-07 Salman Habib , Katrin Heitmann , Gerard Jungman , Carmen Molina-Paris

We, in the first part, contemplate a massless minimally coupled scalar which is Yukawa-coupled to a massless Dirac fermion in a locally de Sitter background of an inflating spacetime. We compute the scalar's quantum corrected mode function,…

General Relativity and Quantum Cosmology · Physics 2015-10-09 V. K. Onemli

In this paper we compute 1-loop corrections to the bispectrum in the decoupling limit of the Effective Field Theory of Inflation (EFToI). We regulate the divergences by employing dimensional regularization and work in $d=3+\delta$…

High Energy Physics - Theory · Physics 2024-10-11 Supritha Bhowmick , Diptimoy Ghosh , Farman Ullah

In the approach of the effective field theory of modified gravity, we derive the second-order action and the equation of motion for tensor perturbations on the flat isotropic cosmological background. This analysis accommodates a wide range…

High Energy Physics - Theory · Physics 2015-05-27 Antonio De Felice , Shinji Tsujikawa

We analyze the computation of $n$-point correlation functions in de Sitter spacetime, including loop corrections, using the wavefunction of the universe approach. This method consists of two stages employing distinct Feynman rules. First,…

High Energy Physics - Theory · Physics 2025-03-26 Javier Huenupi , Ellie Hughes , Gonzalo A. Palma , Spyros Sypsas

We initiate a systematic study of precision calculation of the inflation correlators at the 1-loop level, starting in this paper with bosonic 1-loop bispectrum with chemical-potential enhancement. Such 1-loop processes could lead to…

High Energy Physics - Phenomenology · Physics 2022-03-02 Lian-Tao Wang , Zhong-Zhi Xianyu , Yi-Ming Zhong

We compute the 1-loop contribution to the graviton self-energy from a loop of massless fermions on a general cosmological background. The result is used to quantum-correct the linearized Einstein equation on de Sitter background and work…

General Relativity and Quantum Cosmology · Physics 2025-01-07 A. J. Foraci , R. P. Woodard

Loop corrections to the gravitational potential are usually inferred from scattering amplitudes, which seems quite different from how the linearized Einstein equations are solved with a static, point mass to give the classical potential. In…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Sohyun Park , R. P. Woodard

We demonstrate that there are no scale-invariant one-loop corrections to the superhorizon tensor perturbations from small-scale (potentially enhanced) scalar perturbations, irrespective of the details of inflationary background time…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Yohei Ema , Muzi Hong , Ryusuke Jinno , Kyohei Mukaida

We study inflation for a quantum scalar electrodynamics model in curved space-time and for higher-derivative quantum gravity (QG) coupled with scalar electrodynamics. The corresponding renormalization-group (RG) improved potential is…

High Energy Physics - Theory · Physics 2017-03-15 Ratbay Myrzakulov , Sergei Odintsov , Lorenzo Sebastiani
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