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The method of variational completion allows one to transform an (in principle, arbitrary) system of partial differential equations -- based on an intuitive ``educated guess'' -- into the Euler-Lagrange one attached to a Lagrangian, by…

数学物理 · 物理学 2024-06-17 Ludovic Ducobu , Nicoleta Voicu

The formation of scalar condensates and dynamical symmetry breaking in the U(n) four-fermion models (for n=2,3) with two coupling constants has been studied by the functional integration method. The bosonization procedures of the models…

高能物理 - 唯象学 · 物理学 2007-05-23 S. I. Kruglov

We shall here consider extended theories of gravitation in the metric-affine formalism with matter coupled directly to the connection. A sufficiently general procedure will be exhibited to solve the resulting field equation associated to…

广义相对论与量子宇宙学 · 物理学 2011-01-05 L. Fatibene , M. Francaviglia , S. Mercadante

Derivations of consistent equations of motion for the massive spin two field interacting with gravity is reviewed. From the field theoretical point of view the most general classical action describing consistent causal propagation in vacuum…

高能物理 - 理论 · 物理学 2007-05-23 V. D. Pershin

We show that the $c=1$ bosonic string theory at finite temperature has two matrix-model realizations related by a kind of duality transformation. The first realization is the standard one given by the compactified matrix quantum mechanics…

高能物理 - 理论 · 物理学 2010-04-05 Sergei Yu. Alexandrov , Vladimir A. Kazakov , Ivan K. Kostov

We extend the previous work of Olivier Costa de Beauregard regarding the isomorphism between the equation describing the motion of relativistic point particles and the equation describing the static equilibrium of classical elastic strings,…

综合物理 · 物理学 2017-11-13 Calin Galeriu

String models are designed to provide a covariant description of internal space-time structure of relativistic particles. The string is a limiting case of a series of massive beads like a pearl necklace. In the limit of infinite-number of…

高能物理 - 唯象学 · 物理学 2007-05-23 Y. S. Kim

The Lagrangian description of mechanical systems and the Legendre Transformation (considered as a passage from the Lagrangian to the Hamiltonian formulation of the dynamics) for point-like objects, for which the infinitesimal configuration…

微分几何 · 数学 2017-01-17 Katarzyna Grabowska , Janusz Grabowski , Pawel Urbanski

We study the modifications on the metric of an isolated self-gravitating bosonic superconducting cosmic string in a scalar-tensor gravity in the weak-field approximation. These modifications are induced by an arbitrary coupling of a…

广义相对论与量子宇宙学 · 物理学 2009-10-31 C. N. Ferreira , M. E. X. Guimaraes , J. A. Helayel-Neto

Symplectic vector spaces are the phase spaces of linear mechanical systems. The symplectic form describes, for example, the relation between position and momentum as well as current and voltage. The category of linear Lagrangian relations…

计算机科学中的逻辑 · 计算机科学 2022-11-04 Cole Comfort , Aleks Kissinger

The role of torsion and a scalar field $\phi$ in gravitation in the background of a particular class of the Riemann-Cartan geometry is considered here. Some times ago, a Lagrangian density with Lagrange multipliers has been proposed by the…

天体物理学 · 物理学 2008-02-18 Prasanta Mahato

Classical solutions of equations of motion in low energy effective field theory, describing fundamental charged heterotic string, are found. These solutions automatically carry an electric current equal to the charge per unit length, and…

高能物理 - 理论 · 物理学 2009-09-15 Ashoke Sen

We describe a novel procedure to map the field equations of nonlinear Ricci-based metric-affine theories of gravity, coupled to scalar matter described by a given Lagrangian, into the field equations of General Relativity coupled to a…

广义相对论与量子宇宙学 · 物理学 2019-02-27 Victor I. Afonso , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

We derive a class of solutions to the string sigma-model equations for the closed bosonic string. The tachyon field is taken to form a constant condensate and the beta-function equations at one-loop level are solved for the evolution of the…

高能物理 - 理论 · 物理学 2009-09-25 Alan Kostelecky , Malcolm Perry

A new approach to the study of nonrelativistic bosonic string in flat space time is introduced, basing on a holistic hamiltonian analysis of the minimal action for the string. This leads to a structurally new form of the action which is,…

广义相对论与量子宇宙学 · 物理学 2021-03-03 Rabin Banerjee , Sk. Moinuddin , Pradip Mukherjee

The divergences that arise in the regularized partition function for closed bosonic string theory in flat space lead to three types of perturbation series expansions, distinguished by their genus dependence. This classification of…

高能物理 - 理论 · 物理学 2010-04-06 Simon Davis

A 2D- fractional supersymmetry theory is algebraically constructed. The Lagrangian is derived using an adapted superspace including, in addition to a scalar field, two fields with spins 1/3,2/3. This theory turns out to be a rational…

高能物理 - 理论 · 物理学 2008-11-26 A. Perez , M. Rausch de Traubenberg , P. Simon

In this paper we propose the toy model of the closed string tachyon effective action that has marginal tachyon profile as its exact solution in case of constant or linear dilaton background. Then we will apply this model for description of…

高能物理 - 理论 · 物理学 2009-11-10 J. Kluson

We consider a special class of vacuum $F(R)$-modified gravity models. The form of their Lagrangian is such that the field equations are trivially satisfied when the Ricci scalar is constant. There are many interesting $F(R)$-models for…

广义相对论与量子宇宙学 · 物理学 2018-04-04 Marco Calzà , Massimiliano Rinaldi , Lorenzo Sebastiani

A novel functional integral formulation of quantum mechanics for non-Lagrangian systems is presented. The new approach, which we call "stringy quantization," is based solely on classical equations of motion and is free of any ambiguity…

高能物理 - 理论 · 物理学 2016-09-08 Denis Kochan