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String interactions in a plane-fronted parallel-wave spacetime.

Rajesh Gopakumar1

  • 1Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad, India 211019.

Physical Review Letters
|October 26, 2002
PubMed
Summary

String interactions in plane-fronted parallel-wave spacetime are governed by an effective coupling. This coupling interpolates between flat space results and perturbative gauge theory conjectures, depending on light-cone energy.

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Area of Science:

  • String theory
  • Quantum field theory
  • High-energy physics

Background:

  • Interactions in plane-fronted parallel-wave spacetime are complex.
  • A matrix string description offers a framework for analysis.
  • Previous conjectures exist from perturbative gauge theory.

Purpose of the Study:

  • To determine the effective coupling governing string interactions in this specific spacetime.
  • To show how this coupling interpolates between known limits.

Main Methods:

  • Utilizing a matrix string description of the plane-fronted parallel-wave spacetime.
  • Analyzing the generalities of string interactions within this framework.

Main Results:

  • Derived an effective coupling constant, g(eff) = g(s)(μp(+)α')f(μp(+)α').
  • Showed f(μp(+)α') is proportional to the light-cone energy of interacting string states.
  • Demonstrated g(eff) interpolates between flat space (small μp(+)α') and perturbative gauge theory (large μp(+)α') results.

Conclusions:

  • The derived effective coupling provides a unified description for string interactions in this background.
  • This result bridges matrix string theory and perturbative gauge theory findings.

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