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Linear vector waves, both quantum and classical, experience polarization-driven bending of ray trajectories and polarization dynamics that can be interpreted as the precession of the "wave spin". Both phenomena are governed by an effective…

等离子体物理 · 物理学 2015-12-11 D. E. Ruiz , I. Y. Dodin

We review the dual transformation from pure lattice gauge theory to spin foam models with an emphasis on a geometric viewpoint. This allows us to give a simple dual formulation of SU(N) Yang-Mills theory, where spin foam surfaces are…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Florian Conrady

We provide a new efficient diagrammatic tool, in the context of the scattering equations, for computation of covariant $D$-dimensional tree-level $n$-point amplitudes with pairs of spinning massive particles using compact exponential…

高能物理 - 理论 · 物理学 2021-05-12 N. Emil J. Bjerrum-Bohr , Taro V. Brown , Humberto Gomez

We derive a fully analytic Keplerian-type parametrization solution to conservative motion of spinning binary in ADM gauge. This solution is able to describe three dimensional motion of binaries of arbitrary eccentricity, mass ratio and…

广义相对论与量子宇宙学 · 物理学 2019-09-11 Gihyuk Cho , Hyung Mok Lee

In this work we consider compact binaries on eccentric orbit under the spin-spin interaction. Using the post-Newtonian formalism, the binaries undergo a perturbed Keplerian motion. Here we investigate only the radial motion and derive the…

天体物理学 · 物理学 2007-05-23 Zoltán Keresztes , Balázs Mikóczi

(abbreviated) I will describe my work on proton Compton scattering in a Unified Proton-Delta theory and on the computation of scattering amplitudes in Yang-Mills theory. We study proton Compton scattering in the first resonance region in an…

高能物理 - 理论 · 物理学 2013-05-28 Yun Zhang

The question of a modification of the running gauge coupling of (non-) abelian gauge theories by an incorporation of the quantum gravity contribution has recently attracted considerable interest. In this letter we perform an involved…

高能物理 - 理论 · 物理学 2008-11-26 Dietmar Ebert , Jan Plefka , Andreas Rodigast

We explore consequences of the recently discovered duality between color and kinematics, which states that kinematic numerators in a diagrammatic expansion of gauge-theory amplitudes can be arranged to satisfy Jacobi-like identities in…

高能物理 - 理论 · 物理学 2014-11-20 Zvi Bern , Tristan Dennen , Yu-tin Huang , Michael Kiermaier

Recently, the {\it spacelike} part of the $SU(2)$ Yang--Mills equations has been identified with geometrical objects of a three--dimensional space of constant Riemann--Cartan curvature. We give a concise derivation of this Ashtekar type…

广义相对论与量子宇宙学 · 物理学 2009-10-22 E. W. Mielke , Y. N. Obukhov , F. W. Hehl

Local convergence analysis of the augmented Lagrangian method (ALM) is established for a large class of composite optimization problems with nonunique Lagrange multipliers under a second-order sufficient condition. We present a new…

最优化与控制 · 数学 2023-10-23 Nguyen T. V. Hang , Ebrahim Sarabi

In this paper, we study the Lagrangian functions for a class of second-order differential systems arising from physics. For such systems, we present necessary and sufficient conditions for the existence of Lagrangian functions. Based on the…

数值分析 · 数学 2024-11-26 Yihan Shen , Yajuan Sun

We construct a spin foam model of Yang-Mills theory coupled to gravity by using a discretized path integral of the BF theory with polynomial interactions and the Barret-Crane ansatz. In the Euclidian gravity case we obtain a vertex…

广义相对论与量子宇宙学 · 物理学 2009-01-16 A. Mikovic

It is shown that the coefficient of the cubic interaction vertex, in higher spin Lagrangians, has a very simple form when written in terms of spinor helicity products. The result for a higher-spin field, of spin $\lambda$, is equal to the…

高能物理 - 理论 · 物理学 2020-02-26 Sudarshan Ananth

Lagrangian of a massive particle with spin 3/2 is considered in the Rarita-Schwinger formalism. We discuss implications of the contact- and the gauge-transformation on the physical content of free and interacting theories. It is shown that…

高能物理 - 唯象学 · 物理学 2016-09-01 V. Pascalutsa

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

广义相对论与量子宇宙学 · 物理学 2020-04-01 Nils Siemonsen , Justin Vines

We construct the Lax-pair, the classical monodromy matrix and the corresponding solution of the Yang--Baxter equation, for a two-parameter deformation of the Principal chiral model for a simple group. This deformation includes as a…

高能物理 - 理论 · 物理学 2014-12-30 Georgios Itsios , Konstantinos Sfetsos , Konstantinos Siampos , Alessandro Torrielli

This paper studies nonlinear deformations of the linear gauge theory of any number of spin-2 and spin-3/2 fields with general formal multiplication rules in place of standard Grassmann rules for manipulating the fields, in four spacetime…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Stephen C. Anco

Despite conventional wisdom that spin-1/2 systems have no classical analog, we introduce a set of classical coupled oscillators with solutions that exactly map onto the dynamics of an unmeasured electron spin state in an arbitrary,…

量子物理 · 物理学 2011-12-12 K. B. Wharton , R. A. Linck , C. H. Salazar-Lazaro

Long ago, Newman and Janis showed that a complex deformation $z\rightarrow z+i a$ of the Schwarzschild solution produces the Kerr solution. The underlying explanation for this relationship has remained obscure. The complex deformation has…

高能物理 - 理论 · 物理学 2020-01-29 Nima Arkani-Hamed , Yu-tin Huang , Donal O'Connell

In this article, we shall develop and formulate two novel viewpoints and properties concerning the three-point functions at weak coupling in the SU(2) sector of the N = 4 super Yang-Mills theory. One is a double spin-chain formulation of…

高能物理 - 理论 · 物理学 2015-08-05 Yoichi Kazama , Shota Komatsu , Takuya Nishimura