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Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Scattering of massless particles in arbitrary dimensions
Freddy Cachazo1, Song He2, Ellis Ye Yuan3
1Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
We developed a new compact formula for calculating particle scattering in quantum field theories. This formula simplifies calculations in Yang-Mills and gravity theories across various dimensions using integrals and matrix properties.
Area of Science:
- Theoretical Physics
- High Energy Physics
- Quantum Field Theory
Background:
- Calculating scattering amplitudes in quantum field theories is complex.
- Existing methods for Yang-Mills and gravity theories can be cumbersome, especially in higher dimensions.
Purpose of the Study:
- To present a compact and unified formula for tree-level S-matrix elements.
- To simplify scattering calculations in pure Yang-Mills and gravity theories.
- To demonstrate the formula's applicability across arbitrary spacetime dimensions.
Main Methods:
- Developed a novel formula based on an integral over n points on a sphere.
- Utilized the reduced Pfaffian of a 2n×2n matrix (Ψ) dependent on momenta and polarization vectors.
- Showcased the gravity integrand as a reduced determinant, the square of the Yang-Mills integrand's Pfaffian.
Main Results:
- A compact formula for the complete tree-level S-matrix of pure Yang-Mills and gravity theories.
- The formula is applicable in arbitrary spacetime dimensions.
- Gauge invariance is manifestly demonstrated through a property of the Pfaffian.
Conclusions:
- The presented formula offers a significant simplification for scattering amplitude calculations.
- This work provides a unified approach to Yang-Mills and gravity theories at tree-level.
- The method highlights deep connections between gauge theories and gravity through Pfaffian structures.
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