Scattering length from holographic duality

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  • معلومة اضافية
    • Publication Date:
      2019
    • Collection:
      Condensed Matter
      High Energy Physics - Lattice
      High Energy Physics - Phenomenology
      High Energy Physics - Theory
    • Abstract:
      Interesting theories with short range interactions include QCD in the hadronic phase and cold atom systems. The scattering length in two-to-two elastic scattering process captures the most elementary features of the interactions, such as whether they are attractive or repulsive. However, even this basic quantity is notoriously difficult to compute from first principles in strongly coupled theories. We present a method to compute the two-to-two amplitudes and the scattering length using the holographic duality. Our method is based on the identification of the residues of Green's functions in the gravity dual with the amplitudes in the field theory. To illustrate the method we compute a contribution to the scattering length in a hard wall model with a quartic potential and find a constraint on the scaling dimension of a scalar operator $\Delta > d/4$. For $d< 4$ this is more stringent than the unitarity constraint and may be applicable to an extended family of large-$N$ theories with a discrete spectrum of massive states. We also argue that for scalar potentials with polynomial terms of order $K$, a constraint more restrictive than the unitarity bound will appear for $d<2K/(K-2)$.
      Comment: 17 pages, 4 figures
    • Accession Number:
      edsarx.1910.13929
  • Citations
    • ABNT:
      HOYOS, C.; JOKELA, N.; LOGARES, D. Scattering length from holographic duality. [s. l.], 2019. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428. Acesso em: 21 jan. 2020.
    • AMA:
      Hoyos C, Jokela N, Logares D. Scattering length from holographic duality. 2019. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428. Accessed January 21, 2020.
    • APA:
      Hoyos, C., Jokela, N., & Logares, D. (2019). Scattering length from holographic duality. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428
    • Chicago/Turabian: Author-Date:
      Hoyos, Carlos, Niko Jokela, and Daniel Logares. 2019. “Scattering Length from Holographic Duality.” http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428.
    • Harvard:
      Hoyos, C., Jokela, N. and Logares, D. (2019) ‘Scattering length from holographic duality’. Available at: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428 (Accessed: 21 January 2020).
    • Harvard: Australian:
      Hoyos, C, Jokela, N & Logares, D 2019, ‘Scattering length from holographic duality’, viewed 21 January 2020, .
    • MLA:
      Hoyos, Carlos, et al. Scattering Length from Holographic Duality. 2019. EBSCOhost, search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428.
    • Chicago/Turabian: Humanities:
      Hoyos, Carlos, Niko Jokela, and Daniel Logares. “Scattering Length from Holographic Duality,” 2019. http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428.
    • Vancouver/ICMJE:
      Hoyos C, Jokela N, Logares D. Scattering length from holographic duality. 2019 [cited 2020 Jan 21]; Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsarx&AN=edsarx.1910.13929&custid=s8280428