Interpolating Function

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Hongsheng Zhao - One of the best experts on this subject based on the ideXlab platform.

  • evaluation of new mond Interpolating Function with rotation curves of galaxies
    Iranian Journal of Astronomy and Astrophysics, 2014
    Co-Authors: Hosein Haghi, H Ghasemi, Hongsheng Zhao
    Abstract:

    Abstract. The rotation curves of a sample of 46 lowand high-surface brightness galaxies are considered in the context of Milgrom’s modified dynamics (MOND) to test a new Interpolating Function proposed by Zhao et al. (2010) [1] and compare with the results of simple Interpolating Function. The predicted rotation curves are calculated from the total baryonic matter based on the B-band surface photometry, and the observed distribution of neutral hydrogen, in which the one adjustable parameter is the stellar mass-to-light ratio. The predicted rotation curves generally agree with the observed curves for both Interpolating Functions. We show that the fitted M/L in the B-band correlates with B-V color in the sense expected from what we know about stellar population synthesis models. Moreover, the mass-to-light ratios of MOND with new Interpolating Function is in consistent with scaled Salpeter’s initial mass Function of the SPS scheme, while those of MOND with simple Interpolating Function favor Kroupa IMF.

  • refining the mond Interpolating Function and teves lagrangian
    The Astrophysical Journal, 2006
    Co-Authors: Hongsheng Zhao, Benoit Famaey
    Abstract:

    The phenomena customarily described with dark matter or modified Newtonian dynamics (MOND) have been argued by Bekenstein to be the consequences of a covariant scalar field, controlled by a free Function [related to the MOND Interpolating Function (g/a0)] in its Lagrangian density. In the context of this relativistic MOND theory (TeVeS), we examine critically the Interpolating Function in the transition zone between weak and strong gravity. Bekenstein's toy model produces a that varies too gradually, and it fits rotation curves less well than the standard MOND Interpolating Function (x) = x/(1 + x2)1/2. However, the latter varies too sharply and implies an implausible external field effect. These constraints on opposite sides have not yet excluded TeVeS, but they have made the zone of acceptable Interpolating Functions narrower. An acceptable "toy" Lagrangian density Function with simple analytical properties is singled out for future studies of TeVeS in galaxies. We also suggest how to extend the model to solar system dynamics and cosmology.

  • Refining MOND Interpolating Function and TeVeS Lagrangian
    The Astrophysical Journal, 2006
    Co-Authors: Hongsheng Zhao, Benoit Famaey
    Abstract:

    The phenomena customarily described with dark matter or modified Newtonian dynamics (MOND) have been argued by Bekenstein to be the consequences of a covariant scalar field, controlled by a free Function [related to the MOND Interpolating Function μ̃(g/a0)] in its Lagrangian density. In the context of this relativistic MOND theory (TeVeS), we examine critically the Interpolating Function in the transition zone between weak and strong gravity. Bekenstein's toy model produces a μ̃ that varies too gradually, and it fits rotation curves less well than the standard MOND Interpolating Function μ̃(x) = x/(1 + x2)1/2. However, the latter varies too sharply and implies an implausible external field effect. These constraints on opposite sides have not yet excluded TeVeS, but they have made the zone of acceptable Interpolating Functions narrower. An acceptable "toy" Lagrangian density Function with simple analytical properties is singled out for future studies of TeVeS in galaxies. We also suggest how to extend the model to solar system dynamics and cosmology. © 2006. The American Astronomical Society. All rights reserved.SCOPUS: ar.jinfo:eu-repo/semantics/publishe

  • refining mond Interpolating Function and teves lagrangian
    arXiv: Astrophysics, 2005
    Co-Authors: Hongsheng Zhao, Benoit Famaey
    Abstract:

    The phenomena customly called Dark Matter or Modified Newtonian Dynamics (MOND) have been argued by Bekenstein (2004) to be the consequences of a covariant scalar field, controlled by a free Function (related to the MOND Interpolating Function) in its Lagrangian density. In the context of this relativistic MOND theory (TeVeS), we examine critically the Interpolating Function in the transition zone between weak and strong gravity. Bekenstein's toy model produces too gradually varying Functions and fits rotation curves less well than the standard MOND Interpolating Function. However, the latter varies too sharply and implies an implausible external field effect (EFE). These constraints on opposite sides have not yet excluded TeVeS, but made the zone of acceptable Interpolating Functions narrower. An acceptable "toy" Lagrangian density Function with simple analytical properties is singled out for future studies of TeVeS in galaxies. We also suggest how to extend the model to solar system dynamics and cosmology, and compare with strong lensing data (see also astro-ph/0509590).

Diego Bombardelli - One of the best experts on this subject based on the ideXlab platform.

  • Quantum strings and the AdS4/CFT3 Interpolating Function
    Journal of High Energy Physics, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(\lambda)=\sqrt{\lambda/2} + c + ... . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP3 sector. We then turn to finite-J effects, where a comparison with the Luescher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.Comment: 30 pages, 1 figure, 1 table. v2 has minor improvements to the text, and extra references. v3 has further textual changes, version to appear in JHE

  • quantum strings and the ads4 cft3 Interpolating Function
    Journal of High Energy Physics, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h( ) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical eects so far has been for strings in the AdS4 sector. Several cuto prescriptions have been proposed, leading to dierent predictions for the constant term in the expansion h( ) = p = 2 + c + :::. We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP 3 sector. We then turn to nite- J eects, where a comparison with the LF-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.

  • quantum strings and the ads4 cft3 Interpolating Function
    arXiv: High Energy Physics - Theory, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(\lambda)=\sqrt{\lambda/2} + c + ... . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP3 sector. We then turn to finite-J effects, where a comparison with the Luescher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.

Benoit Famaey - One of the best experts on this subject based on the ideXlab platform.

  • refining the mond Interpolating Function and teves lagrangian
    The Astrophysical Journal, 2006
    Co-Authors: Hongsheng Zhao, Benoit Famaey
    Abstract:

    The phenomena customarily described with dark matter or modified Newtonian dynamics (MOND) have been argued by Bekenstein to be the consequences of a covariant scalar field, controlled by a free Function [related to the MOND Interpolating Function (g/a0)] in its Lagrangian density. In the context of this relativistic MOND theory (TeVeS), we examine critically the Interpolating Function in the transition zone between weak and strong gravity. Bekenstein's toy model produces a that varies too gradually, and it fits rotation curves less well than the standard MOND Interpolating Function (x) = x/(1 + x2)1/2. However, the latter varies too sharply and implies an implausible external field effect. These constraints on opposite sides have not yet excluded TeVeS, but they have made the zone of acceptable Interpolating Functions narrower. An acceptable "toy" Lagrangian density Function with simple analytical properties is singled out for future studies of TeVeS in galaxies. We also suggest how to extend the model to solar system dynamics and cosmology.

  • Refining MOND Interpolating Function and TeVeS Lagrangian
    The Astrophysical Journal, 2006
    Co-Authors: Hongsheng Zhao, Benoit Famaey
    Abstract:

    The phenomena customarily described with dark matter or modified Newtonian dynamics (MOND) have been argued by Bekenstein to be the consequences of a covariant scalar field, controlled by a free Function [related to the MOND Interpolating Function μ̃(g/a0)] in its Lagrangian density. In the context of this relativistic MOND theory (TeVeS), we examine critically the Interpolating Function in the transition zone between weak and strong gravity. Bekenstein's toy model produces a μ̃ that varies too gradually, and it fits rotation curves less well than the standard MOND Interpolating Function μ̃(x) = x/(1 + x2)1/2. However, the latter varies too sharply and implies an implausible external field effect. These constraints on opposite sides have not yet excluded TeVeS, but they have made the zone of acceptable Interpolating Functions narrower. An acceptable "toy" Lagrangian density Function with simple analytical properties is singled out for future studies of TeVeS in galaxies. We also suggest how to extend the model to solar system dynamics and cosmology. © 2006. The American Astronomical Society. All rights reserved.SCOPUS: ar.jinfo:eu-repo/semantics/publishe

  • refining mond Interpolating Function and teves lagrangian
    arXiv: Astrophysics, 2005
    Co-Authors: Hongsheng Zhao, Benoit Famaey
    Abstract:

    The phenomena customly called Dark Matter or Modified Newtonian Dynamics (MOND) have been argued by Bekenstein (2004) to be the consequences of a covariant scalar field, controlled by a free Function (related to the MOND Interpolating Function) in its Lagrangian density. In the context of this relativistic MOND theory (TeVeS), we examine critically the Interpolating Function in the transition zone between weak and strong gravity. Bekenstein's toy model produces too gradually varying Functions and fits rotation curves less well than the standard MOND Interpolating Function. However, the latter varies too sharply and implies an implausible external field effect (EFE). These constraints on opposite sides have not yet excluded TeVeS, but made the zone of acceptable Interpolating Functions narrower. An acceptable "toy" Lagrangian density Function with simple analytical properties is singled out for future studies of TeVeS in galaxies. We also suggest how to extend the model to solar system dynamics and cosmology, and compare with strong lensing data (see also astro-ph/0509590).

Michael C Abbott - One of the best experts on this subject based on the ideXlab platform.

  • Quantum strings and the AdS4/CFT3 Interpolating Function
    Journal of High Energy Physics, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(\lambda)=\sqrt{\lambda/2} + c + ... . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP3 sector. We then turn to finite-J effects, where a comparison with the Luescher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.Comment: 30 pages, 1 figure, 1 table. v2 has minor improvements to the text, and extra references. v3 has further textual changes, version to appear in JHE

  • quantum strings and the ads4 cft3 Interpolating Function
    Journal of High Energy Physics, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h( ) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical eects so far has been for strings in the AdS4 sector. Several cuto prescriptions have been proposed, leading to dierent predictions for the constant term in the expansion h( ) = p = 2 + c + :::. We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP 3 sector. We then turn to nite- J eects, where a comparison with the LF-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.

  • quantum strings and the ads4 cft3 Interpolating Function
    arXiv: High Energy Physics - Theory, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(\lambda)=\sqrt{\lambda/2} + c + ... . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP3 sector. We then turn to finite-J effects, where a comparison with the Luescher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.

Ines Aniceto - One of the best experts on this subject based on the ideXlab platform.

  • Quantum strings and the AdS4/CFT3 Interpolating Function
    Journal of High Energy Physics, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(\lambda)=\sqrt{\lambda/2} + c + ... . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP3 sector. We then turn to finite-J effects, where a comparison with the Luescher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.Comment: 30 pages, 1 figure, 1 table. v2 has minor improvements to the text, and extra references. v3 has further textual changes, version to appear in JHE

  • quantum strings and the ads4 cft3 Interpolating Function
    Journal of High Energy Physics, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h( ) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical eects so far has been for strings in the AdS4 sector. Several cuto prescriptions have been proposed, leading to dierent predictions for the constant term in the expansion h( ) = p = 2 + c + :::. We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP 3 sector. We then turn to nite- J eects, where a comparison with the LF-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.

  • quantum strings and the ads4 cft3 Interpolating Function
    arXiv: High Energy Physics - Theory, 2010
    Co-Authors: Michael C Abbott, Ines Aniceto, Diego Bombardelli
    Abstract:

    The existence of a nontrivial Interpolating Function h(\lambda) is one of the novel features of the new AdS4/CFT3 correspondence involving ABJM theory. At strong coupling, most of the investigation of semiclassical effects so far has been for strings in the AdS4 sector. Several cutoff prescriptions have been proposed, leading to different predictions for the constant term in the expansion h(\lambda)=\sqrt{\lambda/2} + c + ... . We calculate quantum corrections for giant magnons, using the algebraic curve, and show by comparing to the dispersion relation that the same prescriptions lead to the same values of c in this CP3 sector. We then turn to finite-J effects, where a comparison with the Luescher F-term correction shows a mismatch for one of the three sum prescriptions. We also compute some dyonic and higher F-terms for future comparisons.