Pion-pion scattering in two dimensions

Delphenich, D. H.; Schechter, J.; Vaidya, Sachindeo

doi:10.1103/physrevd.59.056004

Cited by 17 publications

(32 citation statements)

References 63 publications

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“…Nonlinear electrodynamics can be defined as generalizations of Maxwell electrodynamics obtained by changing the Larmor Lagrangian density (L = −F/8π) to arbitrary functions of the two invariants F and G. Although Maxwell electrodynamics is well-confirmed by experiments, there are interesting theoretical arguments [16,17,19,[28][29][30][31][32][33] that motivate the examination of NLED. There are several examples of NLED in the literature [34][35][36][37][38][39].…”

Section: Nonlinear Electrodynamics In Schwarzschild Spacetimementioning

confidence: 99%

Entropy bounds and nonlinear electrodynamics

Falciano¹,

Peñafiel²,

Bergliaffa³

2019

Phys. Rev. D

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Bekenstein's inequality sets a bound on the entropy of a charged macroscopic body. Such a bound is understood as a universal relation between physical quantities and fundamental constants of nature that should be valid for any physical system. We reanalyze the steps that lead to this entropy bound considering a charged object in conformity to Born-Infeld electrodynamics and show that the bound depends of the underlying theory used to describe the physical system. Our result shows that the nonlinear contribution to the electrostatic self-energy causes a raise in the entropy bound. As an intermediate step to obtain this result, we exhibit a general way to calculate the form of the electric field for a given nonlinear electrodynamics in Schwarzschild spacetime.

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Section: Nonlinear Electrodynamics In Schwarzschild Spacetimementioning

confidence: 99%

Entropy bounds and nonlinear electrodynamics

Falciano¹,

Peñafiel²,

Bergliaffa³

2019

Phys. Rev. D

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“…Secondly, the exterior algebra A 2 (Π 3 ) of bivectors over Π 3 defines another 3-dimensional subspace of A 2 , which is, moreover, complementary to the latter one. As shown in [6], these are the only two possible types of 3-dimensional subspaces in A 2 . As discussed in [7], this relationship between 1+3 decompositions of R 4 and 3+3 decompositions of A 2 has significance in both projective geometry and special relativity when one regards Π 3 as the rest space for a measurement.…”

Section: Real Vector Space Structure On Amentioning

confidence: 99%

A more direct representation for complex relativity

Delphenich¹

2007

Ann. Phys.

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An alternative to the representation of complex relativity by self-dual complex 2-forms on the spacetime manifold is presented by assuming that that the bundle of real 2-forms is given an almost-complex structure. From this, one can define a complex orthogonal structure on the bundle of 2-forms, which results in a more direct representation of the complex orthogonal group in three complex dimensions. The geometrical foundations of general relativity are then presented in terms of the bundle of oriented complex orthogonal 3-frames on the bundle of 2-forms in a manner that essentially parallels their construction in terms of self-dual complex 2-forms. It is shown that one can still discuss the Debever-Penrose classification of the Riemannian curvature tensor in terms of the representation presented here.Comment: 33 page

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“…In such a representation, the structure functions can be obtained in terms of the partial derivatives of A by direct evaluation of (2.9) using (2.12): 13) in which the tilde over the matrix signifies that one is using the inverse of that matrix. When the local frame field e μ is adapted to C(U ) one can partition its elements into {e i , i = 1, .…”

Section: )mentioning

confidence: 99%

On the variational formulation of systems with non-holonomic constraints

Delphenich¹

2009

Ann. Phys.

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In a previous article by the author, it was shown that one could effectively give a variational formulation to non-conservative mechanical systems by starting with the first variation functional instead of an action functional. In this article, it is shown that this same approach will also allow one to give a variational formulation to systems with non-holonomic constraints. The key is to use an adapted anholonomic local frame field in the formulation, which then implies the replacement of ordinary derivatives with covariant ones. The method is then applied to the case of a vertical disc rolling without slipping or friction on a plane. : On the variational formulation of systems with non-holonomic constraints 1 It may sound inconsistent to use the word "non-holonomic" to describe the constraint and "anholonomic" to describe the adapted local frame field when they are so clearly related, but the use of both terms in their respective fields of applicationviz., constrained mechanics and the geometry of moving frames -is so well-established that we shall simply use both terms as the situation dictates.

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Pion-pion scattering in two dimensions

Cited by 17 publications

References 63 publications

Entropy bounds and nonlinear electrodynamics

Entropy bounds and nonlinear electrodynamics

A more direct representation for complex relativity

On the variational formulation of systems with non-holonomic constraints

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