Chiral symmetry and linear trajectories

Brout, R.; Englert, François; Truffin, C.

doi:10.1016/0370-2693(69)90310-4

Cited by 21 publications

(6 citation statements)

References 4 publications

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“…We must mention that in our case, there is a shift in the corresponding density peak which is caused by the curvature of the space-time, see Figs. (4) and (5). Notice also that the density peak observed in Figs.…”

Section: Schwarzschild Spacetimementioning

confidence: 99%

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Scalar Field as a Bose-Einstein Condensate?

Castellanos,

Escamilla-Rivera,

Macías

et al. 2013

Preprint

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We discuss the analogy between a classical scalar field with a self-interacting potential, in a curved spacetime described by a quasi-bounded state, and a trapped Bose-Einstein condensate. In this context, we compare the Klein-Gordon equation with the Gross-Pitaevskii equation. Moreover, the introduction of a curved background spacetime endows, in a natural way, an equivalence to the Gross-Pitaevskii equation with an explicit confinement potential. The curvature also induces a position dependent self-interaction parameter. We exploit this analogy by means of the Thomas-Fermi approximation, commonly used to describe the Bose-Einstein condensate, in order to analyze the quasi bound scalar field distribution surrounding a black hole.

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Section: Schwarzschild Spacetimementioning

confidence: 99%

“…Nevertheless, they have remained until now as exotic matter. It was only in the last year that the Higgs boson was detected [4][5][6], a very important fact in the development of the scalar field theory.…”

Section: Introductionmentioning

confidence: 99%

Scalar Field as a Bose-Einstein Condensate?

Castellanos,

Escamilla-Rivera,

Macías

et al. 2013

Preprint

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show abstract

Section: Introductionmentioning

confidence: 99%

Scalar field as a Bose-Einstein condensate?

Castellanos

Escamilla-Rivera

Macı́as

et al. 2014

J. Cosmol. Astropart. Phys.

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Abstract. We discuss the analogy between a classical scalar field with a self-interacting potential, in a curved spacetime described by a quasi-bounded state, and a trapped BoseEinstein condensate. In this context, we compare the Klein-Gordon equation with the GrossPitaevskii equation. Moreover, the introduction of a curved background spacetime endows, in a natural way, an equivalence to the Gross-Pitaevskii equation with an explicit confinement potential. The curvature also induces a position dependent self-interaction parameter. We exploit this analogy by means of the Thomas-Fermi approximation, commonly used to describe the Bose-Einstein condensate, in order to analyze the quasi bound scalar field distribution surrounding a black hole.

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“…However it is limited to scalar trajectories ; none in fact has been able to introduce physical trajectories without spurious poles or wrong asymptotics. The kinematical factor that works in the five point case, does not play here the same role; there are moreover good reasons for believing that to build up a good six point amplitude for physical particles is a very difficult task [28]. We want to investigate reggeization.…”

Section: The Six Point Formulamentioning

confidence: 99%

The Veneziano Formula for Mesons

Bassetto

1970

Fortschr. Phys.

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Chiral symmetry and linear trajectories

Cited by 21 publications

References 4 publications

Scalar Field as a Bose-Einstein Condensate?

Scalar Field as a Bose-Einstein Condensate?

Scalar field as a Bose-Einstein condensate?

The Veneziano Formula for Mesons

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