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A typical geometry extracted from the path integral of a quantum theory of gravity might be quite complicated in the UV region. Even if such a configuration is not physical, it may be of interest to understand the details of its nature,…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Jan Ambjørn , Zbigniew Drogosz , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz , Dániel Németh

A new local world volume supersymmetric Lagrangian for the bosonic membrane is presented. The starting Lagrangian is the one constructed by Dolan and Tchrakian with vanishing cosmological constant, with quadratic and quartic derivative…

High Energy Physics - Theory · Physics 2007-05-23 Carlos Castro

We study linear perturbations about static and spherically symmetric black holes with a time-independent background scalar field in shift-symmetric Horndeski theories, whose Lagrangian is characterized by coupling functions depending only…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

Cosmological soft theorems (or consistency relations) provide a powerful probe for the physics of inflation. These relations rely on minimal assumptions and hold very generally. Consequently, any violation of these relations would rule out…

High Energy Physics - Theory · Physics 2026-04-14 Farman Ullah

In contrast to the symmetries of translation in space, rotation in space, and translation in time, the known laws of physics are not universally invariant under transformation of scale. However, the action can be invariant under change of…

Data Analysis, Statistics and Probability · Physics 2019-11-05 Erik D. Fagerholm , W. M. C. Foulkes , Yasir Gallero-Salas , Fritjof Helmchen , Karl J. Friston , Rosalyn J. Moran , Robert Leech

In physics, Lagrangians provide a systematic way to describe laws governing physical systems. In the context of particle physics, they encode the interactions and behavior of the fundamental building blocks of our universe. By treating…

Machine Learning · Computer Science 2025-01-17 Yong Sheng Koay , Rikard Enberg , Stefano Moretti , Eliel Camargo-Molina

In this work we shall address the ghost issue of $F\left( R,\mathcal{G} \right)$ gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field…

General Relativity and Quantum Cosmology · Physics 2021-11-19 S. Nojiri , S. D. Odintsov , V. K. Oikonomou , Arkady A. Popov

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

In this article, I talk about a model which is known and often used to unify both massless and massive vector free-field theory, discuss the importance of auxiliary scalar field introduced in the Lagrangian density that we consider in this…

General Physics · Physics 2019-03-22 Susobhan Mandal

The local and manifestly covariant Lagrangian interactions in four spacetime dimensions that can be added to a free model that describes a massless Rarita-Schwinger theory and an Abelian BF theory are constructed by means of deforming the…

High Energy Physics - Theory · Physics 2009-03-09 C. Bizdadea , E. M. Cioroianu , S. O. Saliu , S. C. Sararu , M. Iordache

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties - the Galileons - can be naturally covariantized by coupling to nonlinear massive gravity in such a way that their symmetries…

High Energy Physics - Theory · Physics 2013-12-17 Melinda Andrews , Kurt Hinterbichler , James Stokes , Mark Trodden

Based on the principle of reparametrization invariance, the general structure of physically relevant classical matter systems is illuminated within the Lagrangian framework. In a straightforward way, the matter Lagrangian contains…

Mathematical Physics · Physics 2021-04-23 V. G. Gueorguiev , Andre Maeder

There has been considerable interest in constructing modified gravity theories that propagate only two degrees of freedom (DOFs), corresponding to the tensorial gravitational waves of general relativity. Within the framework of spatially…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Yang Yu , Yu-Min Hu , Xian Gao

We investigate the problem of introducing consistent self-couplings in free theories for mixed tensor gauge fields whose symmetry properties are characterized by Young diagrams made of two columns of arbitrary (but different) lengths. We…

High Energy Physics - Theory · Physics 2009-11-10 Xavier Bekaert , Nicolas Boulanger , Sandrine Cnockaert

We study two self-interacting scalar field theories in their high-temperature limit using path integrals on a lattice. We first discuss the formalism and recover known potentials to validate the method. We then discuss how these theories…

High Energy Physics - Phenomenology · Physics 2017-07-11 A. Deur

We make a perturbative analysis of the number of degrees of freedom in a large class of metric theories respecting spatial symmetries, of which the Lagrangian includes kinetic terms of both the spatial metric and the lapse function. We show…

General Relativity and Quantum Cosmology · Physics 2019-05-13 Xian Gao , Chao Kang , Zhi-Bang Yao

In 4D renormalisable theories, integrating out massive states generates in the low energy effective action higher dimensional operators (derivative or otherwise). Using a superfield language it is shown that a 4D N=1 supersymmetric theory…

High Energy Physics - Theory · Physics 2009-04-03 I. Antoniadis , E. Dudas , D. M. Ghilencea

We consider Lorentz invariant scalar-tensor teleparallel gravity theories with a Lagrangian built from the torsion scalar, a scalar field, its kinetic term and a derivative coupling between the torsion and the scalar field. The field…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann , Christian Pfeifer

We present all scalar-tensor Lagrangians that are cubic in second derivatives of a scalar field, and that are degenerate, hence avoiding Ostrogradsky instabilities. Thanks to the existence of constraints, they propagate no more than three…

High Energy Physics - Theory · Physics 2016-12-23 Jibril Ben Achour , Marco Crisostomi , Kazuya Koyama , David Langlois , Karim Noui , Gianmassimo Tasinato

We perform a general analysis of the dynamic structure of two classes of relativistic lagrangian field theories exhibiting static spherically symmetric non-topological soliton solutions. The analysis is concerned with (multi-) scalar fields…

High Energy Physics - Theory · Physics 2009-03-12 J. Diaz-Alonso , D. Rubiera-Garcia