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Real-time gauge/gravity duality.

Kostas Skenderis1, Balt C van Rees

  • 1Institute for Theoretical Physics, Valckenierstraat 65, 1018 XE Amsterdam. K.Skenderis@uva.nl

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Summary
This summary is machine-generated.

This study introduces a holographic method for calculating real-time quantum field theory functions in complex states. The approach uses bulk solutions on a time contour, yielding unambiguous results for n-point functions.

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Area of Science:

  • Quantum Field Theory
  • String Theory
  • Holography

Background:

  • Real-time quantum field theory computations are complex.
  • Nontrivial quantum states require advanced calculation methods.

Purpose of the Study:

  • To develop a general holographic prescription for computing real-time n-point functions.
  • To handle computations in nontrivial quantum states.

Main Methods:

  • A holographic approach is proposed using a time contour in the complex plane.
  • Bulk solutions (Lorentzian and Riemannian) are used to fill the time contour.
  • Matching conditions are imposed at contour corners.

Main Results:

  • The prescription provides a method for holographic computation of real-time n-point functions.
  • A specific example of a 2-point function for a scalar operator is computed.
  • The method yields unambiguous results with correct iE insertions.

Conclusions:

  • The presented holographic prescription offers a robust framework for real-time quantum field theory calculations.
  • This method simplifies computations in nontrivial quantum states.
  • The approach is validated by successful computation of a 2-point function.