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Non-standard Lagrangians do not display any discernible energy-like terms, yet they give the same equations of motion as standard Lagrangians, which have easily identifiable energy-like terms. A new method to derive non-standard Lagrangians…

种群与进化 · 定量生物学 2023-01-24 Diana T. Pham , Zdzislaw E. Musielak

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

高能物理 - 理论 · 物理学 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

Possible (algebraic) commutation relations in the Lagrangian quantum theory of free (scalar, spinor and vector) fields are considered from mathematical view-point. As sources of these relations are employed the Heisenberg…

高能物理 - 理论 · 物理学 2007-05-23 Bozhidar Z. Iliev

We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classical dynamics in Hamiltonian and Lagrangian form is discussed,…

数学物理 · 物理学 2010-02-17 D. M. Gitman , V. G. Kupriyanov

The aim of this paper is to study the stability of soliton-like static solutions via non-linear simulations in the context of a special class of massive tensor-multi-scalar-theories of gravity whose target space metric admits Killing…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Riccardo Falcone , Daniela D. Doneva , Kostas D. Kokkotas , Stoytcho S. Yazadjiev

We summarize the main features of a class of \emph{asymptotically anomalous} (asymptotically flat, but non Schwarzschild-like) gravitational configurations in models of gravitating non-linear electrodynamics in three space dimensions, whose…

广义相对论与量子宇宙学 · 物理学 2013-04-24 J. Diaz-Alonso , D. Rubiera-Garcia

We investigate the presence of vortex structures in a Maxwell model with a logarithmic generalization. This generalization becomes important because it generates stationary field solutions in models that describe the dynamics of a scalar…

高能物理 - 理论 · 物理学 2020-12-02 F. C. E. Lima , C. A. S. Almeida

Recent analyses suggest that in TeV scales that will be made accessible at the LHC copious amounts of color scalar parton bound states may be produced. Would this be the case, the scalars would leave long enough to interact and this could…

高能物理 - 唯象学 · 物理学 2009-10-30 P. Rembiesa

In dark energy models of scalar-field coupled to a barotropic perfect fluid, the existence of cosmological scaling solutions restricts the Lagrangian of the field $\vp$ to $p=X g(Xe^{\lambda \vp})$, where $X=-g^{\mu\nu} \partial_\mu \vp…

高能物理 - 理论 · 物理学 2009-02-25 Burin Gumjudpai , Tapan Naskar , M. Sami , Shinji Tsujikawa

The novel proposal to invoke the split of the Ricci scalar into bulk and boundary terms in the gravitational action, opens up a new avenue of investigation into stellar dynamics. The Lagrangian contains functional forms of the bulk term…

广义相对论与量子宇宙学 · 物理学 2026-05-14 Sudan Hansraj , Christian G. Boehmer , Ndumiso Buthelezi

From general supergravity theory with unified gauge symmetry, we obtain the low-energy effective Lagrangian by taking the flat limit and integrating out the superheavy fields in model-independent manner. The scalar potential possesses some…

高能物理 - 唯象学 · 物理学 2009-10-28 Yoshiharu Kawamura

We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group…

高能物理 - 理论 · 物理学 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina , H. Takata

We review a system of autonomous differential equations developed in our previous work [1] describing a flat cosmology filled with a barotropic fluid and a scalar field with a modified kinetic term of the form L=F(X)-V(phi). We analyze the…

广义相对论与量子宇宙学 · 物理学 2014-04-04 Josue De-Santiago , Jorge L. Cervantes-Cota

In this work, a cosmological model is considered having two scalar fields minimally coupled to gravity with a mixed kinetic term. The model is characterized by the coupling function and the potential function which are assumed to depend on…

广义相对论与量子宇宙学 · 物理学 2023-02-17 Santu Mondal , Roshni Bhaumik , Sourav Dutta , Subenoy Chakraborty

Guided by the symmetries of the Euler-Lagrange equations of motion, a study of the constrained dynamics of singular Lagrangians is presented. We find that these equations of motion admit a generalized Lie symmetry, and on the Lagrangian…

数学物理 · 物理学 2020-06-05 Achilles D. Speliotopoulos

Our ignorance about the source of cosmic acceleration has stimulated study of a wide range of models and modifications to gravity. Cosmological scaling solutions in any of these theories are privileged because they represent natural…

高能物理 - 理论 · 物理学 2008-11-26 Shinji Tsujikawa , M. Sami

This article devoted to relativistic dynamics of a charged massive particle in an electroscalar field. It represents a continuation of paper [1] where the authors constructed a non-relativistic theory which describes transverse…

经典物理 · 物理学 2012-03-13 D. V. Podgainy , O. A. Zaimidoroga

Solutions of gravitational equations of gauge theories of gravity in homogeneous isotropic world with massive scalar field are investigated in the case of flat cosmological models. Special attention is dedicated to general behavior of…

天体物理学 · 物理学 2009-11-07 G. V. Vereshchagin

We consider scalar-tensor theories of gravity in an accelerating universe. The equations for the background evolution and the perturbations are given in full generality for any parametrization of the Lagrangian, and we stress that apparent…

广义相对论与量子宇宙学 · 物理学 2009-10-31 G. Esposito-Farese , D. Polarski

Lagrangian systems with nonholonomic constraints may be considered as singular differential equations defined by some constraints and some multipliers. The geometry, solutions, symmetries and constants of motion of such equations are…

数学物理 · 物理学 2009-11-10 Xavier Gracia , Ruben Martin