arXiv subjects

Fang-Stars Wei

Publications and source records attributed to Fang-Stars Wei.

6 recordsLinked to original sources

arXiv2026

Critical Behavior of Photon Rings in Kerr-Bertotti-Robinson Spacetime

In this work, we investigate the critical behavior of photon rings in the Kerr-Bertotti-Robinson spacetime, describing a rotating black hole immersed in a background magnetic field. We analyze the radial and angular motions of photons under the small magnetic field approximation. Focusing on unstable spherical orbits, we determine three key parameters, $γ$, $δ$, and $τ$, which characterize radial compression, azimuthal advancement, and time delay. We then examine how these parameters depend on the black hole spin, magnetic field strength, and observer inclination for both on-axis and off-axis observers, and we further analyze the properties of higher-order images through near-critical lens equations. The results show that the magnetic field modifies the geodesic structure, and leads to observable changes in the fine structure of photon rings, providing a useful framework for probing magnetized black hole environments.

gr-qc↗

arXiv2024

Soft theorems based on differential operators from gravity to Yang-Mills and BAS

This note study the soft behavior of Yang-Mills (YM) and bi-adjoint scalar (BAS) amplitudes at tree level, by using transmutation operators proposed by Cheung, Shen and Wen. By acting such transmutation operators to gravity amplitudes in the soft limit, we reproduce universal soft factors of YM amplitudes at the leading and sub-leading orders, and explain that the analogous universal soft behavior does not exist at the sub-sub-leading order. Subsequently, by acting the same operators on YM amplitudes, we obtain the universal soft factor of BAS amplitudes at the leading order. Furthermore, we find that a "weaker" version of universal soft behavior of BAS amplitudes holds at the sub-leading order, if we exclude the special $4$-point case.

hep-th↗

arXiv2024

On soft factors and transmutation operators

The well known soft theorems state the specific factorizations of tree level gravitational (GR) amplitudes at leading, sub-leading and sub-sub-leading orders, with universal soft factors. For Yang-Mills (YM) amplitudes, similar factorizations and universal soft factors are found at leading and sub-leading orders. Then it is natural to ask if the similar factorizations and soft factors exist at higher orders. In this note, by using transformation operators proposed by Cheung, Shen and Wen, we reconstruct the known soft factors of YM and GR amplitudes, and prove the nonexistence of higher order soft factor of YM or GR amplitude which satisfies the universality.

hep-th↗

arXiv2023

Expanding single trace YMS amplitudes with gauge invariant coefficients

In this note, we use the new bottom up method based on soft theorems to construct the expansion of single-trace Yang-Mills-scalar amplitudes recursively. The resulted expansion manifests the gauge invariance for any polarization carried by external gluons, as well as the permutation symmetry among external gluons. Our result is equivalent to that found by Clifford Cheung and James Mangan via the so called covariant color-kinematic duality approach.

hep-th↗

arXiv2023

Note on tree NLSM amplitudes and soft theorems

We use the universality of single soft behavior, together with the double copy structure, to completely determine the tree amplitudes of non-linear sigma model (NLSM). We first figure out the Adler's zero for $4$-point NLSM amplitudes, by considering kinematics. Then, we assume the universality of the Adler's zero, and use this requirement to construct general tree NLSM amplitudes in the expanded formula, i.e., the formula of expanding NLSM amplitudes to bi-adjoint scalar amplitudes. We also derive double soft factors for tree NLSM amplitudes, based on the resulting expanded formula.

hep-th↗

arXiv2023

Tree and $1$-loop fundamental BCJ relations from soft theorems

We provide a new derivation of the fundamental BCJ relation among double color ordered tree amplitudes of bi-adjoint scalar theory, based on the leading soft theorem for external scalars. Then, we generalize the fundamental BCJ relation to $1$-loop Feynman integrands. We also use the fundamental BCJ relation to understand the Adler's zero for tree amplitudes of non-linear Sigma model and Born-Infeld theories.

hep-th↗