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We review how the (absence of) Ostrogradsky instability manifests itself in theories with multiple fields. It has recently been appreciated that when multiple fields are present, the existence of higher derivatives may not automatically…

高能物理 - 理论 · 物理学 2016-06-29 Claudia de Rham , Andrew Matas

General relativity is highly successful in explaining a wide range of gravitational phenomena including the gravitational waves emitted by binary systems and the shadows cast by supermassive black holes. From a modern perspective the theory…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Jesse Daas , Cristobal Laporte , Frank Saueressig , Tim van Dijk

High derivative terms do not play a major role in field theories because of the associated complexity and inherent difficulty in connecting these terms to physically measurable quantities. A role for higher derivative terms is analyzed for…

软凝聚态物质 · 物理学 2007-11-13 M. Mihailescu

It is possible to provide a thermodynamic interpretation for the field equations in any diffeomorphism invariant theory of gravity. This insight, in turn, leads us to the possibility of deriving the gravitational field equations from…

广义相对论与量子宇宙学 · 物理学 2014-11-20 T. Padmanabhan

Physics beyond the standard model can affect top-quark physics indirectly. We describe the effective field theory approach to describing such physics, and contrast it with the vertex-function approach that has been pursued previously. We…

高能物理 - 唯象学 · 物理学 2010-08-19 Cen Zhang , Scott Willenbrock

The development of instability in the dynamics of theories with higher derivatives is traced in detail in the framework of the Pais-Uhlenbeck fourth oder oscillator. For this aim the external friction force is introduced in the model and…

高能物理 - 理论 · 物理学 2008-11-26 V. V. Nesterenko

One of the major problems in developing new physics scenarios is that very often the parameters can be adjusted such that in perturbation theory almost all experimental low-energy results can be accommodated. It is therefore desirable to…

高能物理 - 唯象学 · 物理学 2015-08-18 Axel Maas

In String Theory there often appears a rather interesting class of higher derivative theories containing an infinite set of derivatives in the form of an exponential. These theories may provide a way to tame ultraviolet divergences without…

广义相对论与量子宇宙学 · 物理学 2015-02-23 Tirthabir Biswas , Spyridon Talaganis

Field equations in four order derivatives with respect to time and space coordinates based on modified classic relativistic energy of the fractal theory of time and space are received. It is shown appearing of new spin characteristics and…

综合物理 · 物理学 2007-05-23 L. Ya. Kobelev

Models with higher order derivative terms in the kinetic energy appear not only as effective theories, they can be considered as elementary, renormalizable models in their own right. The extension of Higgs mechanism is discussed for…

高能物理 - 理论 · 物理学 2015-06-11 Janos Polonyi , Alicja Siwek

The invariance of physical observables under redefinitions of the quantum fields is a well-known and important property of quantum field theory. We study perturbative field redefinitions in effective theories, paying special attention to…

高能物理 - 唯象学 · 物理学 2019-09-23 Juan Carlos Criado , Manuel Perez-Victoria

Higher derivative scalar field theories have received considerable attention for the potentially explanations of the initial state of the universe or the current cosmic acceleration which they might offer. They have also attracted many…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Mingzhe Li , Xiulian Wang

This article examines how the physical presence of field energy and particulate matter can be interpreted in terms of the topological properties of space-time. The theory is developed in terms of vector and matrix equations of exterior…

广义相对论与量子宇宙学 · 物理学 2007-12-10 R. M. Kiehn

In this paper, we examined the viability bounds of a higher derivative $f(R,\Box R, T)$ theory through analyzing energy conditions (where $R$ and $T$ are the Ricci scalar and trace of energy momentum tensor, respectively). We take flat…

广义相对论与量子宇宙学 · 物理学 2018-06-26 Z. Yousaf , M. Sharif , M. Ilyas , M. Z. Bhatti

Relativistic field theory for a vector field on a curved space-time is considered assuming that the Lagrangian field density is quadratic and contains field derivatives of first order at most. By applying standard variational calculus, the…

广义相对论与量子宇宙学 · 物理学 2024-12-02 Roberto Dale , Alicia Herrero , Juan Antonio Morales-Lladosa

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

综合物理 · 物理学 2025-12-09 F. Minotti , G. Modanese

We propose a new class of higher derivative scalar-tensor theories without the Ostrogradsky's ghost instabilities. The construction of our theory is originally motivated by a scalar field with spacelike gradient, which enables us to fix a…

高能物理 - 理论 · 物理学 2019-03-05 Xian Gao , Masahide Yamaguchi , Daisuke Yoshida

We address the problem of the energy conditions in modified gravity taking into account the additional degrees of freedom related to scalar fields and curvature invariants. The latter are usually interpreted as generalized {\it geometrical…

广义相对论与量子宇宙学 · 物理学 2015-05-05 José P. Mimoso , Francisco S. N. Lobo , Salvatore Capozziello

We reformulate gauge theories in analogy with the vierbein formalism of general relativity. More specifically, we reformulate gauge theories such that their gauge dynamical degrees of freedom are local fields that transform linearly under…

高能物理 - 理论 · 物理学 2016-11-23 Daniel J. H. Chung , Ran Lu

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

经典物理 · 物理学 2007-05-23 Germain Rousseaux
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