Closed Strings in Misner Space: Stringy Fuzziness with a Twist

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

29 pages, Latex2e, uses JHEP3.cls; v3: minor corrections, final version to appear in JCAP

Scientific paper

10.1088/1475-7516/2004/10/002

Misner space, also known as the Lorentzian orbifold $R^{1,1}/boost$, is the simplest tree-level solution of string theory with a cosmological singularity. We compute tree-level scattering amplitudes involving twisted states, using operator and current algebra techniques. We find that, due to zero-point quantum fluctuations of the excited modes, twisted strings with a large winding number $w$ are fuzzy on a scale $\sqrt{\log w}$, which can be much larger than the string scale. Wave functions are smeared by an operator $\exp(\Delta(\nu) \partial_+ \partial_-)$ reminiscent of the Moyal-product of non-commutative geometry, which, since $\Delta(\nu)$ is real, modulates the amplitude rather than the phase of the wave function, and is purely gravitational in its origin. We compute the scattering amplitude of two twisted states and one tachyon or graviton, and find a finite result. The scattering amplitude of two twisted and two untwisted states is found to diverge, due to the propagation of intermediate winding strings with vanishing boost momentum. The scattering amplitude of three twisted fields is computed by analytic continuation from three-point amplitudes of states with non-zero $p^+$ in the Nappi-Witten plane wave, and the non-locality of the three-point vertex is found to diverge for certain kinematical configurations. Our results for the three-point amplitudes allow in principle to compute, to leading order, the back-reaction on the metric due to a condensation of coherent winding strings.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Closed Strings in Misner Space: Stringy Fuzziness with a Twist does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Closed Strings in Misner Space: Stringy Fuzziness with a Twist, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Closed Strings in Misner Space: Stringy Fuzziness with a Twist will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-86885

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.