Open string with a background<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>field as the first order mechanics, noncommutativity, and soldering formalism

Дериглазов, А. А.; Neves, C.; Oliveira, W.; Abreu, Éverton M. C.; Wotzasek, C.; Filgueiras, Cleverson

doi:10.1103/physrevd.76.064007

Cited by 7 publications

(6 citation statements)

References 36 publications

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“…We will use the Noether formalism to recover its gauge invariance. Namely, to obtain a dual action that is gauge invariant, the Noether formalism was used recently in the QFT interference phenomena, string theory and issues about braneworld scenarios, duality and Lorentz invariance violation [17][18][19][20][21][22][23][24][25].…”

Section: Gauge Invariancementioning

confidence: 99%

Classical electrodynamics and gauge symmetry of the X-boson

Neves

Labre

Miranda

et al. 2018

Int. J. Mod. Phys. A

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In this paper we have obtained several new results concerning the X-boson, which is being considered recently as one of the main candidate of the dark matter particle content. The classical electrodynamics for the X-boson model was explored to understand its propagation in space-time. The field equations (Maxwell-type) and the corresponding wave equations were obtained. They indicate the dispersion relations of both a massive and massless particles. These results can be interpreted as a photon and the X-boson (with a mass of 17 MeV), respectively. The gauge symmetry and gauge transformations were discussed. A full model diagonalization was introduced to obtain a Maxwell sector added up to a Proca sector. After that, we have obtained the retarded Green functions which yield the inhomogeneous solutions of the wave equations for the X-boson fields. We have applied this solution to the charge point motion, and we transformed the potential solution to a quadrature problem. In particular, as an example, we have analyzed the point charge in a straight line uniform motion, where the corresponding electromagnetic charge were calculated.

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Section: Gauge Invariancementioning

confidence: 99%

Classical electrodynamics and gauge symmetry of the X-boson

Neves

Labre

Miranda

et al. 2018

Int. J. Mod. Phys. A

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“…In this present coordinates the complete boundary corresponds just to the region ω = ω. On the other hand, the action (5) along with equation of motion (10) in terms of ω, ω has still the same form, while the form of BCs are slightly altered:…”

Section: New Normal Ordered Productsmentioning

confidence: 99%

“…Noncommutative(NC) theories has a long history in physics [1] and has kindled a lot of interest in the past few years owing to the inspiration from string theory [2,3]. Recent progress in string theory indicates that an open string moving in the presence of a background Neveu-Schwarz two form field B µν , leads to a NC structure [4,5,6,7,8,9,10,11]. This structure manifests in the noncommutativity in the space-time coordinates of D-branes, where the end points of the open string are attached.…”

Section: Introductionmentioning

confidence: 99%

Normal ordering and noncommutativity in open bosonic strings

2006

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Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field B µν is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to several discussions, in which boundary conditions are taken as Dirac constraints, we first obtain the mode algebra by using the newly proposed normal ordering, which satisfies both equations of motion and boundary conditions. Using these the commutator among the string coordinates is obtained. Interestingly, this new normal ordering yields the same algebra between the modes as the one satisfying only the equations of motion. In this approach, we find that noncommutativity originates more transparently and our results match with the existing results in the literature.

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“…In this way, it is natural to consider noncommutativity as one of the main ingredients of the quantum gravity investigation. However, this noncommutativity in the context of the string theory with a constant background magnetic field in the presence of D-branes was elucidated constructing a mechanical system which reproduces the classical dynamics of strings [2]. This motivated the concept that a quantum field theory on NC spacetimes can be realized as a low energy of the theory of open strings.…”

Section: Introductionmentioning

confidence: 99%

Noncommutativity and Duality through the Symplectic Embedding Formalism

Abreu

Mendes

Oliveira

2010

SIGMA

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Abstract. This work is devoted to review the gauge embedding of either commutative and noncommutative (NC) theories using the symplectic formalism framework. To sum up the main features of the method, during the process of embedding, the infinitesimal gauge generators of the gauge embedded theory are easily and directly chosen. Among other advantages, this enables a greater control over the final Lagrangian and brings some light on the so-called "arbitrariness problem". This alternative embedding formalism also presents a way to obtain a set of dynamically dual equivalent embedded Lagrangian densities which is obtained after a finite number of steps in the iterative symplectic process, oppositely to the result proposed using the BFFT formalism. On the other hand, we will see precisely that the symplectic embedding formalism can be seen as an alternative and an efficient procedure to the standard introduction of the Moyal product in order to produce in a natural way a NC theory. In order to construct a pedagogical explanation of the method to the nonspecialist we exemplify the formalism showing that the massive NC U (1) theory is embedded in a gauge theory using this alternative systematic path based on the symplectic framework. Further, as other applications of the method, we describe exactly how to obtain a Lagrangian description for the NC version of some systems reproducing well known theories. Naming some of them, we use the procedure in the Proca model, the irrotational fluid model and the noncommutative self-dual model in order to obtain dual equivalent actions for these theories. To illustrate the process of noncommutativity introduction we use the chiral oscillator and the nondegenerate mechanics.

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Open string with a backgroundBfield as the first order mechanics, noncommutativity, and soldering formalism

Cited by 7 publications

References 36 publications

Classical electrodynamics and gauge symmetry of the X-boson

Classical electrodynamics and gauge symmetry of the X-boson

Normal ordering and noncommutativity in open bosonic strings

Noncommutativity and Duality through the Symplectic Embedding Formalism

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