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We initiate the systematic computation of the heat-kernel coefficients for Laplacian operators obeying anisotropic dispersion relations in curved spacetime. Our results correctly reproduce the limit where isotropy is restored and special…

High Energy Physics - Theory · Physics 2015-08-05 Giulio D'Odorico , Jan-Willem Goossens , Frank Saueressig

We develop a full four-dimensional numerical code to study scalar gravitational radiation emitted from binary systems and probe the Vainshtein mechanism in situations that break the static and spherical symmetry, relevant for binary pulsars…

High Energy Physics - Theory · Physics 2019-01-09 Furqan Dar , Claudia de Rham , J. Tate Deskins , John T. Giblin , Andrew J. Tolley

The Vainshtein mechanism is known as an efficient way of screening the fifth force around a matter source in modified gravity. This has been verified mainly in highly symmetric matter configurations. To study how the Vainshtein mechanism…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Hiromu Ogawa , Takashi Hiramatsu , Tsutomu Kobayashi

The Vainshtein screening mechanism relies on nonlinear interaction terms becoming dominant close to a compact source. However, theories displaying this mechanism are generally understood to be low-energy theories: it is unclear that…

High Energy Physics - Theory · Physics 2021-03-31 Clare Burrage , Ben Coltman , Antonio Padilla , Daniela Saadeh , Toby Wilson

We derive the 1-loop effective action of the cubic Galileon coupled to quantum-gravitational fluctuations in a background and gauge-independent manner, employing the covariant framework of DeWitt and Vilkovisky. Although the bare action…

High Energy Physics - Theory · Physics 2017-05-24 Ippocratis D. Saltas , Vincenzo Vitagliano

The effective action of the recently proposed vector Galileon theory is considered. Using the background field method, we obtain the one-loop correction to the propagator of the Proca field from vector Galileon self-interactions. Contrary…

High Energy Physics - Theory · Physics 2016-06-22 Farid Charmchi , Zahra Haghani , Shahab Shahidi , Leila Shahkarami

An overview about recent progress in the calculation of the heat kernel and the one-loop effective action in quantum gravity and gauge theories is given. We analyse the general structure of the standard Schwinger-De Witt asymptotic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. G. Avramidi

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

In second-order scalar-tensor theories we study how the Vainshtein mechanism works in a spherically symmetric background with a matter source. In the presence of the field coupling $F(\phi)=e^{-2Q\phi}$ with the Ricci scalar $R$ we…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

We investigate low energy limits of massive gauge theories that feature the Vainshtein mechanism, focussing on the effects of the UV modes that are integrated out. It turns out that the Goldstone sectors are significantly influenced by the…

High Energy Physics - Theory · Physics 2015-03-05 Nemanja Kaloper , Antonio Padilla , Paul Saffin , David Stefanyszyn

We calculate parameters in the low energy gravitational effective action and the entanglement entropy in a wide class of theories characterized by improved ultraviolet (UV) behavior. These include i) local and non-local Lorentz invariant…

High Energy Physics - Theory · Physics 2014-11-21 Dmitry Nesterov , Sergey N. Solodukhin

We use our recently proposed algebraic approach for calculating the heat kernel associated with the Laplace operator to calculate the one-loop effective action in the non-Abelian gauge theory. We consider the most general case of arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-10-22 I. G. Avramidi

We revisit the dimensionally deconstructed scalar quantum electrodynamics and consider the (Euclidean) propagator of the scalar field in the model. Although we have previously investigated the one-loop effect in this model by obtaining the…

High Energy Physics - Theory · Physics 2023-05-30 Nahomi Kan , Kiyoshi Shiraishi

Galileon radiation in the collapse of a thin spherical shell of matter is analyzed. In the framework of a cubic Galileon theory, we compute the field profile produced at large distances by a short collapse, finding that the radiated field…

High Energy Physics - Theory · Physics 2017-01-20 Javier Martin-Garcia , Miguel A. Vazquez-Mozo

In this paper, we give an update on divergent problems concerning the radiative corrections of quantum electrodynamics in $(3+1)$ dimensions. In doing so, we introduce a geometric adaptation for the covariant photon propagator by including…

High Energy Physics - Theory · Physics 2022-06-17 David Montenegro

We consider six-dimensional higher-derivative ${\cal N}=(1,0)$ supersymmetric gauge theory coupled with the hypermultiplet. We use the background superfield method in six-dimensional ${\cal N}=(1,0)$ harmonic superspace to study the…

High Energy Physics - Theory · Physics 2024-05-15 A. S. Budekhina , B. S. Merzlikin

We deduce, in a general background gauge, the counter-term Lagrangian for pure quantum gravity to one-loop order. As an application, we evaluate the leading quantum correction to the classical gravitational potential, generated by the…

High Energy Physics - Theory · Physics 2022-09-13 F. T. Brandt , J. Frenkel , D. G. C. McKeon

For a SU(N) Yang-Mills theory, we present variational calculations using gaussian wave functionals combined with an approximate projection on gauge invariant states. The projection amounts to correcting the energy of the gaussian states by…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Heinemann , E. Iancu , C. Martin , D. Vautherin

We perform the UV deformation of the Green's function in free scalar field theory using a discrete heat kernel method. It is found that the simplest UV deformation based on the discretized diffusion equation leads to the well-known…

High Energy Physics - Theory · Physics 2021-07-27 Nahomi Kan , Masashi Kuniyasu , Kiyoshi Shiraishi , Zhenyuan Wu

We compute the scalar gravitational radiation from a binary pulsar system in the simplest model that exhibits the Vainshtein mechanism. The mechanism is successful in screening the effect from scalar fields conformally coupled to matter,…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Claudia de Rham , Andrew J. Tolley , Daniel H. Wesley