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Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy (DHM)

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Published on: November 1, 2017

Lifshitz gravity for Lifshitz holography.

Tom Griffin¹, Petr Hořava, Charles M Melby-Thompson

¹Berkeley Center for Theoretical Physics, Department of Physics, University of California, Berkeley, California 94720-7300, USA.

Physical Review Letters

|March 12, 2013

Summary

This summary is machine-generated.

Hořava-Lifshitz (HL) gravity offers the minimal holographic dual for anisotropic Lifshitz field theories. It reproduces the full Weyl anomaly in 2+1 dimensions, unlike relativistic gravity counterparts.

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Area of Science:

Theoretical Physics
Quantum Gravity
Holography

Background:

Lifshitz-type field theories exhibit anisotropic scaling with a dynamical exponent z.
Holographic duality connects gravitational theories to quantum field theories.

Purpose of the Study:

To establish Hořava-Lifshitz (HL) gravity as the minimal holographic dual for Lifshitz-type field theories.
To demonstrate HL gravity's ability to reproduce anisotropic Weyl anomalies.

Main Methods:

Investigating Lifshitz spacetimes as vacuum solutions in HL gravity.
Applying holographic renormalization techniques to HL gravity.
Comparing the results with minimal relativistic gravity counterparts.

Main Results:

Lifshitz spacetimes are confirmed as vacuum solutions of HL gravity without additional matter.
Holographic renormalization of HL gravity reproduces the complete z=2 anisotropic Weyl anomaly in 2+1 dimensions.
Minimal relativistic gravity yields only one of the two independent central charges of the anomaly.

Conclusions:

Hořava-Lifshitz gravity is the minimal holographic dual for Lifshitz field theories.
HL gravity successfully captures the full anisotropic Weyl anomaly, providing a more complete holographic description.