arXiv subjects

Guang-Zai Ye

Publications and source records attributed to Guang-Zai Ye.

3 recordsLinked to original sources

arXiv2025

Spontaneous Vectorization in the Einstein-Born-Infeld-Vector Model

We investigate spontaneous vectorization in the Einstein-Born-Infeld-Vector (EBIV) model, where a massless vector field is nonminimally coupled to a nonlinear Born-Infeld (BI) electromagnetic field. This coupling results in an effective mass for the vector field in a Born-Infeld black hole (BIBH) background, triggering tachyonic instability. We numerically construct and analyze such vectorized Born-Infeld black holes (VBIBHs), focusing on their domain of existence, thermodynamic properties, and energy distributions in both Reissner-Nordström (RN)-like and Schwarzschild-like backgrounds. In RN-like BI backgrounds, vectorized solutions emerge from the perturbative instability threshold and persist down to extremality, exhibiting higher entropy and lower free energy compared to their unvectorized counterparts. Conversely, in Schwarzschild-like backgrounds, VBIBHs show bifurcation behavior with two coexisting solution branches, only one of which is thermodynamically favored. We reveal a contrasting energy redistribution pattern between the internal and external fields in the two regimes, governed by the competition between the vector field and the nonlinear BI field. Our findings highlight the rich structure of spontaneous vectorization in nonlinear electrodynamics and provide novel insights into black hole physics beyond linear Maxwell theory.

gr-qc↗

arXiv2025

Screened volume law of Holographic Entanglement Entropy in Holographic Spontaneous Vectorization model

We present a holographic study of spontaneous vectorization in the background of an isotropic asymptotically AdS black brane. By extending spontaneous scalarization to vector fields, we demonstrate how the effective mass of the vector field drives tachyonic instability, leading to a transition from the AdS-RN phase to a vectorized phase. Thermodynamic analysis reveals the critical temperature $ T_c $ and coupling $ α_c $ for this transition, with the vectorized phase exhibiting lower free energy. A central discovery is the emergence of a ``screened volume law'' in the holographic entanglement entropy (HEE), a novel phenomenon where the entanglement entropy scales with the subregion size via a screened entropy density distinct from thermal entropy. This arises from a geometric constraint tied to the vanishing of the Christoffel symbol $ Γ^z{}_{xx} $, which defines an effective boundary outside the horizons. Unlike conventional ``entanglement shadows'' in black hole systems, this surface acts as a boundary for minimal surfaces in a translationally invariant geometry. This screening effect suggests the inability of entanglement measure to fully probe the Hilbert space of this thermal system. Additionally, the HEE in the vectorized phase displays non-monotonic temperature dependence. These results establish spontaneous vectorization as a mechanism for generating novel entanglement structures in holographic systems, with implications for quantum information and critical phenomena in strongly coupled systems.

hep-th↗

arXiv2025

Spontaneous Vectorization in the Einstein-Maxwell-Vector Model

We investigate spontaneous vectorization in the Einstein-Maxwell-Vector (EMV) model, introducing a novel mechanism driven by the interplay between electromagnetic and vector fields. A key innovation in our work is the resolution of an apparent divergence in the vector field near the event horizon, achieved by employing a generalized coordinate transformation. This not only extends the domain of existence for vectorized Reissner-Nordström black holes (VRNBHs), but also refines the theoretical understanding of such solutions. We introduce a new concept of combined charge $\sqrt{\tilde{Q}^2 + \tilde{P}^2}$, which better captures the underlying physics of these black holes and provides a unified framework for analyzing thermodynamics and observable phenomena such as light ring structures. Our findings suggest that VRNBHs exhibit enhanced thermodynamic preference and distinctive light ring properties compared to Reissner-Nordström solutions. Moreover, we demonstrate how this combined charge approach reveals connections to two-charge black hole solutions, offering promising avenues for observational verification within the context of effective field theories.

gr-qc↗