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We study interacting scalar field theories in which different fields propagate with inequivalent spatial kinetic tensors, corresponding to different sound speeds in different directions. We derive the exact elastic two-body unitarity…

High Energy Physics - Theory · Physics 2026-04-15 Dmitry S. Ageev , Yulia A. Ageeva

Using the twist deformation of $U(igl(4,R))$, the linear part of the diffeomorphism, we define a scalar function and construct a free scalar field theory in four-dimensional $\kappa$-Minkowski spacetime. The action in momentum space turns…

High Energy Physics - Theory · Physics 2010-03-04 Hyeong-Chan Kim , Youngone Lee , Chaiho Rim , Jae Hyung Yee

We construct an complex scalar field theory in $\kappa$-Minkowksi spacetime, which respects $\kappa$-deformed Poincar\'e symmetry. One-loop calculation shows that the theory is finite and needs finite renormalization to be compatible with…

High Energy Physics - Theory · Physics 2008-02-27 Chaiho Rim

Electrodynamics for self-interacting scalar fields in spatially flat Friedmann-Robertson-Walker space-times is studied. The corresponding one-loop field equation for the expectation value of the complex scalar field in the conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Giampiero Esposito , Gennaro Miele , Luigi Rosa , Pietro Santorelli

During inflation, there is a preferred reference frame in which the expansion of the background spacetime is spatially isotropic. In contrast to Minkowski spacetime, observables can depend on the velocity of the system with respect to this…

General Relativity and Quantum Cosmology · Physics 2021-02-16 Tanguy Grall , Scott Melville

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

The stochastic dynamics of a scalar field in de Sitter spacetime can be regarded as a non-perturbative diffusion process, to which exact distribution and correlation functions are constructed by utilising the correspondence between…

High Energy Physics - Theory · Physics 2025-11-26 Yuta Nasuda , Koki Tokeshi , Yuki Watanabe

We investigate nonperturbative infrared effects for the O(N) linear sigma model in de Sitter space using the two-particle irreducible effective action at the Hartree truncation level. This approximation resums the infinite series of…

High Energy Physics - Theory · Physics 2013-09-23 Takashi Arai

Scalar fields appear in many theories beyond the Standard Model of particle physics. In the early universe, they are exposed to extreme conditions, including high temperature and rapid cosmic expansion. Understanding their behavior in this…

High Energy Physics - Phenomenology · Physics 2015-08-21 Yeuk-Kwan E. Cheung , Marco Drewes , Jin U Kang , Jong Chol Kim

We use the local momentum space technique to obtain an expansion of the Feynman propagators for scalar field and graviton up to first order in the background curvature. The expressions for the propagators are cross-checked with the past…

High Energy Physics - Theory · Physics 2023-11-07 Sukanta Panda , Abbas Altafhussain Tinwala , Archit Vidyarthi

We employ a manifestly covariant formalism to compute the tree-level amputated Green's function of non-minimally coupled scalar fields in quadratic gravity in a de Sitter background. We study this Green's function in the adiabatic limit,…

High Energy Physics - Theory · Physics 2023-09-01 Renata Ferrero , Chris Ripken

The method of the calculation of effective potential (in linear curvature approximation and at any loop) in massless gauge theory in curved space- time by the direct solution of RG equation is given.The closed expression for two-loop…

General Relativity and Quantum Cosmology · Physics 2016-08-31 S. D. Odintsov

This paper corroborates a statement that perturbative string theory does not admit a solution whose spacetime metric is de Sitter times a closed manifold, to all orders in the $\alpha'$ and $g_s$ expansions, under the assumption that the…

High Energy Physics - Theory · Physics 2026-05-05 Yoav Zigdon

We present new solutions of warped compactifications in the higher-dimensional gravity coupled to the scalar and the form field strengths. These solutions are constructed in the D-dimensional spacetime with matter fields, with the internal…

High Energy Physics - Theory · Physics 2012-03-15 Masato Minamitsuji , Kunihito Uzawa

We present the expressions of the three- and four-point correlation functions of a self interacting light scalar field in a de Sitter spacetime at tree order respectively for a cubic and a quartic potential. Exact expressions are derived…

Astrophysics · Physics 2009-11-10 Francis Bernardeau , Tristan Brunier , Jean-Philippe Uzan

In flat space, the scattering amplitudes of certain scalar effective field theories exhibit enhanced soft limits due to the presence of hidden symmetries. In this paper, we show that this phenomenon extends to wavefunction coefficients in…

High Energy Physics - Theory · Physics 2022-12-15 Connor Armstrong , Arthur Lipstein , Jiajie Mei

We analyze the dynamics of a single scalar field in Friedmann-Robertson-Walker universes with spatial curvature. We obtain the fixed point solutions which are shown to be late time attractors. In particular, we determine the corresponding…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 Edmund J. Copeland , Shuntaro Mizuno , Maryam Shaeri

We calculate quantum fluctuations of a free scalar field in the Schwarzschild-de Sitter space-time, adopting the planar coordinates that is pertinent to the presence of a black hole in an inflationary universe. In a perturbation approach,…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-18 Hing-Tong Cho , Kin-Wang Ng , I-Chin Wang

In effective field theory physical quantities, in particular observables, are expressed as a power series in terms of a small expansion parameter. For non-perturbative systems, for instance nuclear physics, this requires the…

Nuclear Theory · Physics 2025-12-11 Manuel Pavon Valderrama

It is shown that in a scalar quantum field theory at high temperatures we can compute even time dependent observables from an effective theory, which can be interpreted as a (nonlocal) classical statistical field theory. We examine the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antal Jakovac