Does Chiral Fermion Coupled to a Background Dilaton Field Preserve Information?

Rahaman, A.

doi:10.1142/s0217732309030576

Cited by 6 publications

(19 citation statements)

References 22 publications

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“…We have seen various examples with the crucial dependence of information loss with anomaly via the exploitation of ambiguity in the articles presented earlier in different times [6,7,10,20,21]. The present one has enlarged this list to confirm more convincingly the crucial role of anomaly towards the information preserving scenario with the support of the standard and powerful technique of imposition of chiral constraint [5].…”

Section: Discussionsupporting

confidence: 63%

“…Although in the article [7], the s-wave scattering of chiral fermion off dilaton black-hole rendered a result with nonpreservation of information, in our article [10], we have shown that s-wave scattering of chiral fermion with generalized Faddeevian anomaly [11] leads to an information preserving result. This information preserving result related to information loss scenario of course is a gift of the Faddeevian anomaly and it indeed agrees with Hawking's revised suggestion [12].…”

Section: Pacs Numbersmentioning

confidence: 96%

“…For later convenience let us now define η 2 (x) = e 2Φ(x) . The construction of the model is so powerful that it itself provides a room to take the the effect of anomaly into account which enters from the one loop correction during the course of bosonization [7,10,20,21]. This very anomaly plays a crucial role to dictate whether there would be disastrous information loss or it would be free from that disaster.…”

Section: A Brief Review Of the Model Used For Studying S-wave Scatmentioning

confidence: 99%

“…Note that because of the presence of the position dependent factor η 2 mass of this massive boson varies with the position which is although astonishing, this position dependence of mass cries lots of interesting surprises. The mass in this situation increases limitlessly in the negative x 1 direction because being inspired by the by the linear dilatonic vacuum of (1 + 1) dimensional gravity Φ(x) = −x 1 is chosen in the similar fashion as it was found in the in the earlier articles [6,7,10,16,20,21,[25][26][27][28]. So in the exterior space, where the space like coordinate x 1 → ∞, the coupling η 2 (x) vanishes exponentially [6].…”

Section: Study Of S-wave Scattering Of Fermion Off Dilaton Black-mentioning

confidence: 99%

“…Although the anomaly considered here is Faddeevian type, the result has gone against the preservation of information. So a natural question may be initiated: how does the information preserving result for s-wave scattering of chiral fermion off dilaton black-hole was obtained in the article [10]? In the following Sec.…”

Section: Study Of S-wave Scattering Of Fermion Off Dilaton Black-mentioning

confidence: 99%

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Role of Faddeevian anomaly in the s-wave scattering of chiral fermion off dilaton black holes towards preservation of information

Rahaman¹

2019

Nuclear Physics B

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It was found that s-wave scattering of chiral fermion off dilaton black-hole when studied with a model generated from the chiral Schwinger model with standard Jackiw-Rajaraman type of anomaly provided information non preserving result. However this scattering problem when studied with a model generated from chiral Schwinger model with generalized Faddeevian type of anomaly rendered information preserving result and it had well agreement with Hawking's revised proposal related to information loss. A minute and equitable investigation in detail has been carried out here to show how Faddeevian type of anomaly scores over the Jackiw-Rajaraman type of anomaly in connection with the s-wave scattering of chiral fermion of dilaton black-hole related to preservation of information. PACS numbers:Free chiral boson can be thought of in terms of chiral fermion in (1 + 1) dimension which is a basic ingredient of heterotic string theory. So the theories involving chiral boson is interesting in its own right. There are quite a good mumbler of interesting field theoretical models involving free as well as interacting chiral boson [1][2][3][4][5]. So scattering of chiral fermion off dilaton black-hole would certainly be of interest and the model presented in the article [6] is so beautifully formulated that s-wave scattering of chiral fermion too can be studied in a significant manner. In the article [7], the authors first made an attempt to study the s-wave scattering of chiral fermion off dilaton black-hole, but they obtained a result which went against preservation of information. The interacting (gauged) chiral boson (fermion) part in that case was taken from the interacting model invented by Harada in [5]. This model was generated from the usual chiral Schwinger model with the standard one para meter class of anomaly introduced by Jackiw-Rajaraman [8] under the imposition of a chiral constraint by hand in the phase space of the theory. Recently, it is shown in the article [9], that it can be obtained directly from the gauged action of Siegel type chiral boson [1,3] too.Although in the article [7], the s-wave scattering of chiral fermion off dilaton black-hole rendered a result with nonpreservation of information, in our article [10], we have shown that s-wave scattering of chiral fermion with generalized Faddeevian anomaly [11] leads to an information preserving result. This information preserving result related to information loss scenario of course is a gift of the Faddeevian anomaly and it indeed agrees with Hawking's revised suggestion [12]. In this article, an attempt has, therefore, been made to carry out a minute and detailed investigation how Faddeevian anomaly changes the scenario related to information loss in the scattering of chiral fermion off dilaton black-hole.In this context, and for the sake of the readers benefit, we should mention a bit history related to information loss paradox. It is universally accepted that the issue that received special attention related to black-hole physics is the possible informat...

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Section: Discussionsupporting

confidence: 63%

Section: Pacs Numbersmentioning

confidence: 96%

Section: A Brief Review Of the Model Used For Studying S-wave Scatmentioning

confidence: 99%

Section: Study Of S-wave Scattering Of Fermion Off Dilaton Black-mentioning

confidence: 99%

Section: Study Of S-wave Scattering Of Fermion Off Dilaton Black-mentioning

confidence: 99%

See 3 more Smart Citations

Role of Faddeevian anomaly in the s-wave scattering of chiral fermion off dilaton black holes towards preservation of information

Rahaman¹

2019

Nuclear Physics B

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On the Poincaré and Gauge Symmetry of a Model where Vector and Axial Vector Interaction get Mixed up with Different Weight

Yasmin

Rahaman²

2016

Int J Theor Phys

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A (1 + 1) dimensional model where vector and axial vector interaction get mixed up with different weight is considered with a generalized masslike term for gauge field. Through Poincaré algebra it has been made confirm that only a Lorentz covariant masslike term leads to a physically sensible theory as long as the number of constraints in the phase space is two. With that admissible masslike term, phase space structure of this model with proper identification of physical canonical pair has been determined using Diracs' scheme of quantization of constrained system. The bosonized version of the model remains gauge non-invariant to start with. Therefore, with the inclusion of appropriate Wess-Zumino term it is made gauge symmetric. An alternative quantization has been carried out over this gauge symmetric version to determine the phase space structure in this situation. To establish that the Wess-Zumino fields allocates themselves in the un-physical sector of the theory an attempts has been made to get back the usual theory from the gauge symmetric theory of the extended phase-space without hampering any physical principle. It has been found that the role of gauge fixing is crucial for this transmutation.

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Unparticle may be a remedy to the information loss in the scattering of fermion off dilaton black-hole

Rahaman¹

2018

Nuclear Physics B

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We study s-wave scattering of fermion off dilaton black-hole. With one loop correction it was found to suffer from nonpreservation of information and that of course, went against Hawking's revised suggestion on this issue. A nonstandard approach, e.g. the probable existence of unparticle in (1+1) dimension has been adopted here that shows a remedy to get rid of the danger of information loss to bring it in agrees with the Hawking's revised suggestion.

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Does Chiral Fermion Coupled to a Background Dilaton Field Preserve Information?

Cited by 6 publications

References 22 publications

Role of Faddeevian anomaly in the s-wave scattering of chiral fermion off dilaton black holes towards preservation of information

Role of Faddeevian anomaly in the s-wave scattering of chiral fermion off dilaton black holes towards preservation of information

On the Poincaré and Gauge Symmetry of a Model where Vector and Axial Vector Interaction get Mixed up with Different Weight

Unparticle may be a remedy to the information loss in the scattering of fermion off dilaton black-hole

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