Scattering amplitudes in Lifshitz spacetime

Abstract

We consider the calculation of scattering amplitudes in field theories dual to Lifshitz spacetimes. These amplitudes provide an interesting probe of the IR structure of the field theory; our aim is to use them to explore the observable consequences of the singularity in the spacetime. We assume the amplitudes can be related by T-duality to a Wilson loop, as in the AdS case, and determine the bulk minimal surfaces for the simplest cusp Wilson loop. We use this to determine the leading IR singularity in the amplitude. We find there is a stronger IR singularity for z >1 than for z=1, with a coefficient which vanishes as z goes to 1.

14 pages, 8 figures

References in corpus (14)

• Gravity Duals of Lifshitz-like Fixed Points
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• On planar gluon amplitudes/Wilson loops duality
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Lifshitz Solutions of D=10 and D=11 supergravity
• Lifshitz spacetimes from AdS null and cosmological solutions
• Lifshitz solutions in supergravity and string theory
• Pathologies in Asymptotically Lifshitz Spacetimes
• Hamilton-Jacobi Renormalization for Lifshitz Spacetime
• Lifshitz Singularities
• Holographic Renormalization for Asymptotically Lifshitz Spacetimes
• The Benefits of Stress: Resolution of the Lifshitz Singularity
• Topology and Signature Changes in Braneworlds

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