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In general relativity, the strong equivalence principle is underpinned by a geometrical interpretation of fields on spacetime: all fields and bodies probe the same geometry. This geometric interpretation implies that the parallel transport…

高能物理 - 理论 · 物理学 2024-04-17 Henrique Gomes

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Daniel Cangemi

The Lagrange--Poincar\'{e} equations for a mechanical system which describes the interaction of two scalar particles that move on a special Riemannian manifold, consisting of the product of two manifolds, the total space of a principal…

数学物理 · 物理学 2016-12-30 S. N. Storchak

On the basis of the general principles of a gauge field theory the gauge theory for the Poincar\'{e}-Weyl group is constructed. It is shown that tetrads are not true gauge fields, but represent functions from true gauge fields: Lorentzian,…

高能物理 - 理论 · 物理学 2009-11-11 O. V. Babourova , B. N. Frolov , V. Ch. Zhukovsky

We investigate N=2, D=5 supersymmetry and matter-coupled supergravity theories in a superconformal context. In a first stage we do not require the existence of a Lagrangian. Under this assumption, we already find at the level of rigid…

高能物理 - 理论 · 物理学 2009-11-07 Eric Bergshoeff , Sorin Cucu , Tim de Wit , Jos Gheerardyn , Rein Halbersma , Stefan Vandoren , Antoine Van Proeyen

I consider the sense in which teleparallel gravity and symmetric teleparallel gravity may be understood as gauge theories of gravity. I first argue that both theories have surplus structure. I then consider the relationship between…

物理学史与哲学 · 物理学 2025-04-09 James Owen Weatherall

We show that gravity and matter fields are generically entangled, as a consequence of the local Poincar\'e symmetry. First, we present a general argument, applicable to any particular theory of quantum gravity with matter, by performing the…

广义相对论与量子宇宙学 · 物理学 2018-08-31 Nikola Paunkovic , Marko Vojinovic

We investigate the canonical quantization of gravity coupled to pointlike matter in 2+1 dimensions. Starting from the usual point particle action in the first order formalism, we introduce auxiliary variables which make the action locally…

高能物理 - 理论 · 物理学 2008-11-26 Daniel Kabat , Miguel Ortiz

We derive an improved lattice Hamiltonian for pure gauge theory, coupling arbitrarily distant links in the kinetic term. The level of improvement achieved is examined in variational calculations of the SU(2) specific heat in 2+1 dimensions.

高能物理 - 格点 · 物理学 2015-06-25 J. Carlsson , J. A. L. McIntosh , B. H. J. McKellar , L. C. L. Hollenberg

We study the gauge symmetries in a Mielke-Baekler type model of gravity in 2+1 dimensions. The model is built in a Poincare gauge theory framework where localisation of Poincare symmetries lead to gravity. However, explicit construction of…

广义相对论与量子宇宙学 · 物理学 2012-12-19 Rabin Banerjee , Debraj Roy

The standard procedure for making a global phase symmetry local involves the introduction of a rank 1, vector field in the definition of the covariant derivative. Here it is shown that it is possible to gauge a phase symmetry using fields…

高能物理 - 理论 · 物理学 2009-11-10 Douglas Singleton , Akira Kato , A. Yoshida

It is shown how to write the first order action for gravity in a gauge theoretic formalism where the spin connection and frame field degrees of freedom are assimilated together into a gauge connection. It is then shown how to couple the…

高能物理 - 理论 · 物理学 2014-08-12 Steven Kerr

Graviton and gluon scattering are studied from minimal physical assumptions such as Poincare and gauge symmetry as well as unitarity. The assumptions lead to an interesting and surprisingly restrictive set of linear equations. This shows…

高能物理 - 理论 · 物理学 2017-02-15 Rutger H. Boels , Ricardo Medina

A $(1+1)$ dimensional model where vector and axial vector interaction get mixed up with different weight is considered with a generalized masslike term for gauge field. Through Poincar\'e algebra it has been made confirm that only a Lorentz…

高能物理 - 理论 · 物理学 2016-12-20 Safia Yasmin , Anisur Rahaman

The gauge theoretical formulation of general relativity is presented. We are only concerned with local intrinsic geometry, i.e. our space-time is an open subset of a four-dimensional real vector space. Then the gauge group is the set of…

广义相对论与量子宇宙学 · 物理学 2018-12-07 Thomas Schucker

We show that the fractonic dipole-conserving algebra can be obtained as an Aristotelian (and pseudo-Carrollian) contraction of the Poincar\'e algebra in one dimension higher. Such contraction allows to obtain fracton electrodynamics from a…

高能物理 - 理论 · 物理学 2024-04-23 Francisco Peña-Benítez , Patricio Salgado-Rebolledo

We derive and discuss the constraints induced by Poincare' invariance on the form of the heavy-quark potential up to order 1/m^2. We present two derivations: one uses general arguments directly based on the Poincare' algebra and the other…

高能物理 - 唯象学 · 物理学 2014-11-17 Nora Brambilla , Dieter Gromes , Antonio Vairo

We study higher-order theories of gravitation; in particular, we will focus our attention on the second-order theory, in which conformal symmetry can be implemented.

高能物理 - 理论 · 物理学 2011-04-27 Luca Fabbri

We prove the non-abelian Poincare lemma in higher gauge theory in two different ways. The first method uses a result by Jacobowitz which states solvability conditions for differential equations of a certain type. The second method extends a…

高能物理 - 理论 · 物理学 2015-08-31 Getachew Alemu Demessie , Christian Saemann

A two-dimensional nonlinear gauge theory that can be proposed for generalization to higher dimensions is derived by means of cohomological arguments.

高能物理 - 理论 · 物理学 2009-11-07 C. Bizdadea