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Vector Effective Field Theories from Soft Limits.

Clifford Cheung¹, Karol Kampf², Jiri Novotny²

¹Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.

Physical Review Letters

|July 14, 2018

Summary

This summary is machine-generated.

We developed a new method for constructing vector effective field theories using scattering amplitude structures. This approach uniquely identifies the Born-Infeld (BI) model, revealing new properties and a broader class of theories.

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Area of Science:

Theoretical particle physics
Quantum field theory
High-energy physics

Background:

Effective field theories (EFTs) are crucial for describing physical phenomena at different energy scales.
Understanding the structure of scattering amplitudes provides deep insights into underlying field theories.
The infrared (IR) behavior of quantum field theories often dictates their fundamental properties.

Purpose of the Study:

To present a novel bottom-up construction of vector effective field theories (VEFTs).
To utilize the infrared (IR) structure of scattering amplitudes as a primary tool.
To explore the constraints imposed by IR physics on the spectrum and properties of vector theories.

Main Methods:

Employing multiple soft limits of scattering amplitudes to probe IR behavior.
Utilizing single soft limits after dimensional reduction in general dimensions.
Generalizing the Adler zero condition for pions to vector theories.

Main Results:

The Born-Infeld (BI) model is uniquely determined by specific IR conditions.
New recursion relations for on-shell scattering amplitudes in BI theory are derived.
The study suggests the existence of a wider class of vector effective field theories beyond the BI model.

Conclusions:

The infrared structure of scattering amplitudes provides a powerful, constructive approach to EFTs.
The Born-Infeld model is a unique consequence of generalized Adler zero conditions in the IR.
This framework opens avenues for discovering and characterizing new vector effective field theories.