The jet formalism for Classical Field theories is extended to the setting of Lie algebroids. We define the analog of the concept of jet of a section of a bundle and we study some of the geometric structures of the jet manifold. When a Lagrangian function is given, we find the equations of motion in terms of a Cartan form canonically associated to the Lagrangian. The Hamiltonian formalism is als...

A classical statistical field theory hidden variable model for the quantized Klein-Gordon model is constructed that preserves relativistic signal locality and is relativistically covariant, but is at the same time relativistically nonlocal, paralleling the Hegerfeldt nonlocality of quantum theory. It is argued that the relativistic nonlocality of this model is acceptable to classical physics, b...

Various contributions to the cosmological constant are discussed and confronted with its recent measurement. We briefly review different scenarious – and their difficulties – for a solution of the cosmological constant problem.

A plane monochromatic wave will not appear monochromatic to a noninertial observer. We show that this feature leads to a ‘thermal’ ambience in an accelerated frame even in classical field theory. When a real, monochromatic, mode of a scalar field is Fourier analyzed with respect to the proper time of a uniformly accelerating observer, the resulting power spectrum consists of three terms: (i) a ...

We investigate classical solutions of string field theory proposed by Takahashi and Tanimoto in the case of even order polynomial functions. The modified BRS charge and the Feynman propagator of open string field theory expanded about the solution are specified by the Jenkins-Strebel quadratic differential, which describes the geometry of the string worldsheet. We show that the solution becomes...

(2+1)-dimensional relativistic fractional spin particles are considered within the framework of the group-theoretical approach to anyons starting from the level of classical mechanics and concluding by the construction of the minimal set of linear differential field equations. Talk given at the Conference “Theories of Fundamental Interactions”, Maynooth, Ireland, May 1995; to be published in “T...

in this paper, a closed form solution for bending and free vibration analyses of simply supported rectangular laminated composite plates is presented. the static and free vibration behavior of symmetric and antisymmetric laminates is investigated using a refined first-order shear deformation theory. the winkler–pasternak two-parameter model is employed to express the interaction between the lam...

The ideas behind the nonlocal classical statistical field theory model for the quantized Klein-Gordon field introduced in Morgan(2001, quantph/0106141) are extended to accommodate quantum electrodynamics. The anticommutation rules for the quantized Dirac spinor field are given a classical interpretation as a relativistically covariant modification of the minimal coupling interaction between the...

the present paper is an attempt to apply bourdieu’s field theory to the political field of the islamic republic of iran. the concept of field, as explained by bourdieu, provides a suitable theoretical framework to identify and explain the complexities and intricacies of different behaviors of this system and analyze its absolutely different practices in domestic and international arenas.  the m...

We construct classical solutions of open string field theory which are not invariant under ordinary twist operation. From detailed analysis of the moduli space of the solutions, it turns out that our solutions become nontrivial at boundaries of the moduli space. The cohomology of the modified BRST operator and the CSFT potential evaluated by the level truncation method strongly support the fact...