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We calculate one-loop correction to the two-point functions of curvature perturbation in single-field inflation generated by cubic self-interaction. Incorporating the observed red-tilted spectrum of curvature perturbation, the relevant…

High Energy Physics - Theory · Physics 2022-07-05 Jason Kristiano , Jun'ichi Yokoyama

The effective potential obtained by loop expansion is usually not real in the range of field values explored by its minima during a phase transition. We apply the optimized perturbation theory in a fixed gauge to singlet scalar extensions…

High Energy Physics - Phenomenology · Physics 2023-05-04 Károly Seller , Zsolt Szép , Zoltán Trócsanyi

One-loop effective potential of scalar-tensor gravity with a quartic scalar field self-interaction is evaluated up to first post-Minkowskian order. The potential develops an instability in the strong field regime which is expected from an…

General Relativity and Quantum Cosmology · Physics 2022-06-01 A. Arbuzov , B. Latosh , A. Nikitenko

We extend the soft theorems for scattering amplitudes of scalar effective field theories to one-loop order. Our analysis requires carefully accounting for the fact that the soft limit is not guaranteed to commute with evaluating…

High Energy Physics - Theory · Physics 2025-04-18 Timothy Cohen , Ipak Fadakar , Andreas Helset , Filippo Nardi

In this paper we calculate the leading divergences of the effective potential for an arbitrary scalar theory on a curved spacetime background. Based on the recurrence relation between the leading poles following from the locality condition,…

High Energy Physics - Theory · Physics 2025-07-21 V. A. Filippov , R. M. Iakhibbaev , D. M. Tolkachev

The renormalization of effective potentials for the noncommutative scalar field theory at high temperature are investigated to the two-loop approximation. The Feynman diagrams in evaluating the effective potential may be classified into two…

High Energy Physics - Theory · Physics 2009-11-07 Wung-Hong Huang

We study inflation in scalar-tensor perturbative quantum gravity driven by a one-loop effective potential. We consider effective potentials generated by three models. The first model describes a single scalar field with a non-vanishing…

General Relativity and Quantum Cosmology · Physics 2024-07-18 A. Arbuzov , D. Kuznetsov , B. Latosh , V. Shmidt

An estimate of the one-loop correction to the power spectrum of the primordial curvature perturbation is given, assuming it is generated during a phase of single-field, slow-roll inflation. The loop correction splits into two parts, which…

Astrophysics · Physics 2010-02-09 David Seery

We explicitly calculate the one-loop effective potential for a higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term. We consider the cases of minimal and nonminimal general Lagrangians. In…

High Energy Physics - Theory · Physics 2014-05-15 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We consider, in more details than it was done previously, the effective low-energy behavior in the quantum theory of a light scalar field coupled to another scalar with much larger mass. The main target of our work is an IR decoupling of…

High Energy Physics - Theory · Physics 2019-10-29 Tiago G. Ribeiro , Ilya L. Shapiro

In an effort to understand the physical implications of the newly discovered non-trivial directions in scalar field theory, we compute lowest order scattering amplitudes, cross sections, and the 1-loop effective potential. To lowest order,…

High Energy Physics - Theory · Physics 2016-08-25 Kenneth Halpern

In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function…

High Energy Physics - Theory · Physics 2009-10-02 Guglielmo Fucci

We study the one-loop effective potential induced from quantum fluctuation of a finite number of fields. A series expansion in terms of the modified Bessel functions is useful to evaluate the one-loop effective potential. We find that at…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yoshinori Cho , Nahomi Kan , Kenji Sakamoto , Kiyoshi Shiraishi

We solve the one loop effective scalar field equations for spatial plane waves in massless, minimally coupled scalar quantum electrodynamics on a locally de Sitter background. The computation is done in two different gauges: a non-de Sitter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. O. Kahya , R. P. Woodard

Recent and upcoming experimental data as well as the possibility of rich phenomenology has spiked interest in studying the quantum gravitational effects in cosmology at low (inflation-era) energy scales. While Planck scale physics is under…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Sandeep Aashish , Sukanta Panda

We present the one-loop scalar field effective potential for the $N=2$ supersymmetric nonrelativistic self-interacting matter fields coupled to an Abelian Chern-Simons gauge field and for its generalization when bosonic matter fields are…

High Energy Physics - Theory · Physics 2007-05-23 D. Caenepeel , M. Leblanc

The one-loop effective potential for a scalar field defined on an ultrastatic space-time whose spatial part is a compact hyperbolic manifold, is studied using zeta-function regularization for the one-loop effective action. Other possible…

High Energy Physics - Theory · Physics 2011-05-12 Guido Cognola , Klaus Kirsten , Sergio Zerbini

We calculate the scalar-induced one-loop correction to the power spectrum of tensor perturbations produced during single-field slow-roll inflation. We find that the correction is given by the square of the product of the slow-roll parameter…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-06 Jiwon Kong , Jieun Jeon , Jinn-Ouk Gong

We explore nonlocally modified models of gravity, inspired by quantum loop corrections, as a mechanism for explaining current cosmic acceleration. These theories enjoy two major advantages: they allow a delayed response to cosmic events,…

Astrophysics · Physics 2011-05-31 S. Deser , R. P. Woodard

We investigate the one loop effective potential of inflation in a standard model of chaotic inflation. The leading one loop corrections to the effective inflaton potential are evaluated in the quasi de Sitter background, and we estimate the…

Astrophysics · Physics 2009-11-11 Martin S. Sloth