Abstract
We show that the soft photon, gluon, and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity. We found infinitely many new identities which constrain the higher order soft behavior of the gauge bosons and gravitons in scattering amplitudes of gauge and gravity theories. Diagrammatic representations of these soft theorems are presented.
Highlights
We show that the soft photon, gluon, and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity
Introduction.—The last few decades have witnessed a remarkable synergy between particle physics and cosmology
N-point corrections (N ≥ 3) of the curvature perturbation play a similar role as scattering amplitudes in particle physics. Another commonality between particle physics and cosmology is that they are both populated with a myriad of theories, and the challenge is to zero in on the right ones
Summary
Introduction.—The last few decades have witnessed a remarkable synergy between particle physics and cosmology. Infinite Set of Soft Theorems in Gauge-Gravity Theories as Ward-Takahashi Identities We show that the soft photon, gluon, and graviton theorems can be understood as the Ward-Takahashi identities of large gauge transformation, i.e., diffeomorphism that does not fall off at spatial infinity.
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