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We consider topological contributions to the action integral in a gauge theory formulation of gravity. Two topological invariants are found and are shown to arise from the scalar and pseudoscalar parts of a single integral. Neither of these…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Antony Lewis , Chris Doran , Anthony Lasenby

We propose a novel method to construct ghost-free multiple scalar-tensor theories. The key idea is to use the geometric quantities of hypersurfaces defined by the scalar fields, rather than the covariant derivatives of scalar fields or…

广义相对论与量子宇宙学 · 物理学 2024-11-01 Yang Yu , Zheng Chen , Yu-Min Hu , Xian Gao

We study Parity Violating Gravity Theories whose gravitational Lagrangian is a generic function of the scalar curvature and the parity odd curvature pseudoscalar, commonly known as the Holst (or Hojmann) term. Generalizing some previous…

广义相对论与量子宇宙学 · 物理学 2025-06-06 Damianos Iosifidis

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…

广义相对论与量子宇宙学 · 物理学 2026-04-17 Yang Yu , Yu-Min Hu , Xian Gao

Scalar fields play an important role in constructing modified gravity theories. In the case of a single scalar field with timelike gradient, the corresponding Lagrangian in the unitary gauge takes the form of spatially covariant gravity…

广义相对论与量子宇宙学 · 物理学 2024-07-23 Yang Yu , Zheng Chen , Xian Gao

We study the inflationary model constructed from a Spatially Covariant Gravity (SCG). The Lagrangian for the SCG in our consideration is expressed as the polynomial of irreducible SCG monomials where the total number of derivatives of each…

广义相对论与量子宇宙学 · 物理学 2023-08-22 Saikat Chakraborty , Khamphee Karwan , Jakkrit Sangtawee

Violation of parity symmetry in the gravitational sector, which manifests into unequal left and right circular polarization states of primordial gravitational waves, represents a way to test high-energy modifications to general relativity.…

宇宙学与河外天体物理 · 物理学 2021-04-08 Nicola Bartolo , Luca Caloni , Giorgio Orlando , Angelo Ricciardone

Recently, possible hints of parity violation have been observed in the connected galaxy four-point correlation function. Although the true origin of the signal from the analysis has been debated, should they have a physical origin, they…

宇宙学与河外天体物理 · 物理学 2025-07-22 Tommaso Moretti , Nicola Bartolo , Alessandro Greco

We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be…

广义相对论与量子宇宙学 · 物理学 2023-02-22 Jose Beltrán Jiménez , Alejandro Jiménez-Cano , Yuri N. Obukhov

We review the history of the ghost problem in quantum field theory from the Pauli-Villars regulator theory to currently popular fourth-order derivative quantum gravity theories. While these theories all appear to have unitarity-violating…

高能物理 - 理论 · 物理学 2021-02-03 Philip D. Mannheim

In the gauge-fixing approach to (chiral) lattice gauge theories, the action in the U(1) case implicitly contains a free ghost term, in accordance with the continuum abelian theory. On the lattice there is no BRST symmetry and, without…

高能物理 - 格点 · 物理学 2009-10-31 Wolfgang Bock , Maarten F. L. Golterman , Yigal Shamir

We revisit Coincident General Relativity (CGR) in the gauge approach to gravity based on Symmetric Teleparallel Equivalent to General Relativity (STEGR) in the {\it internal-space formulation}, which one of the authors recently proposed in…

广义相对论与量子宇宙学 · 物理学 2025-09-22 Kyosuke Tomonari , Taishi Katsuragawa , Shin'ichi Nojiri

In order to explore some general features of modified theories of gravity which involve higher derivatives and spontaneous Lorentz and/or diffeomorphism symmetry breaking, we study the recently proposed new version of covariant…

广义相对论与量子宇宙学 · 物理学 2013-04-16 Masud Chaichian , Josef Klusoň , Markku Oksanen , Anca Tureanu

The unimodular version of the ghost-free higher derivative gravity is obtained. It is the unimodular reduction of some particular lagrangians quadratic in curvature.

高能物理 - 理论 · 物理学 2017-12-27 Enrique Alvarez , Sergio Gonzalez-Martin

Parity and CP symmetries are broken in the world around us. Nonetheless, parity (or CP) may be a gauge symmetry which is higgsed in our universe. This is assumed in many scenarios for physics beyond the Standard Model, including the classic…

高能物理 - 理论 · 物理学 2022-12-05 Jacob McNamara , Matthew Reece

We consider, in Minkowski spacetime, higher-order Maxwell Lagrangians with terms quadratic in the derivatives of the field strength tensor, and study their degrees of freedom. Using a 3+1 decomposition of these Lagrangians, we extract the…

广义相对论与量子宇宙学 · 物理学 2024-04-30 Aimeric Colléaux , David Langlois , Karim Noui

One of the remarkable differences between renormalizable quantum gravity with four-derivative action and its superrenormalizable polynomial generalizations is that the latter admit a more sophisticated particle mass spectrum. Already in the…

广义相对论与量子宇宙学 · 物理学 2026-03-17 Manuel Asorey , Gastao Krein , Miguel Pardina , Ilya L. Shapiro

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

A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of…

高能物理 - 理论 · 物理学 2008-02-03 Ahmed Hindawi , Burt A. Ovrut , Daniel Waldram

This thesis is devoted to various questions connected with duality. It is composed of two parts. The first part discusses some aspects of timelike T-duality. We explore the possibility of compactification of supergravity theories with…

高能物理 - 理论 · 物理学 2018-10-08 Arash Ranjbar