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String theory of the Regge intercept.

S Hellerman1, I Swanson

  • 1Institute for the Physics and Mathematics of the Universe, The University of Tokyo, Kashiwa, Chiba 277-8582, Japan.

Physical Review Letters
|April 4, 2015
PubMed
Summary

We calculated the mass of a rotating string in D dimensions with large angular momenta, finding the leading order contribution to meson mass squared in planar quantum chromodynamics (QCD). This result is universal for open and closed strings in higher dimensions.

Area of Science:

  • Theoretical physics
  • String theory
  • Quantum chromodynamics (QCD)

Background:

  • Effective string theory provides a framework for understanding the behavior of fundamental strings.
  • Mesons on the leading Regge trajectory in planar QCD are crucial for understanding strong interaction physics.
  • The mass spectrum of hadrons, particularly at high spins, is a key prediction of quantum chromodynamics.

Purpose of the Study:

  • To compute the mass of a rotating string in D dimensions with large angular momenta (J).
  • To perform a first-principles calculation of the order-J(0) contribution to the mass squared of mesons on the leading Regge trajectory in planar QCD.
  • To analyze the universality of this contribution for open and closed strings.

Main Methods:

  • Utilizing the Polchinski-Strominger effective string theory in the covariant gauge.

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  • Employing large angular momentum (J) expansion up to the first subleading order.
  • Applying semiclassical approximation for open strings with Neumann boundary conditions and closed strings in D≥5 dimensions.

    • Main Results:

    • The mass of a rotating string was computed in D dimensions for large J.
    • The order-J(0) contribution to the mass squared of mesons on the leading Regge trajectory in planar QCD was calculated.
    • For specific string types and dimensions, the order-J(0) term in mass squared is exactly determined by the semiclassical approximation.

    Conclusions:

    • The calculated order-J(0) term in the mass squared is universal.
    • This universality holds independent of specific theory details, relying only on D-dimensional Poincaré invariance.
    • The findings are consistent with semiclassical approximations for certain string configurations and dimensions.