Spontaneously broken symmetry restoration of quantum fields in the vicinity of neutral and electrically charged black holes

被引:0
|
作者
Gonçalo M. Quinta
Antonino Flachi
José P. S. Lemos
机构
[1] Universidade de Lisboa — UL,Centro de Astrofísica e Gravitação — CENTRA, Departamento de Física, Instituto Superior Técnico — IST
[2] Keio University,Department of Physics and Research and Education Center for Natural Sciences
来源
Journal of High Energy Physics | / 2019卷
关键词
Black Holes; Effective Field Theories;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the restoration of a spontaneously broken symmetry of an interacting quantum scalar field around neutral, i.e., Schwarzschild, and electrically charged, i.e., Reissner-Nordström, black holes in four dimensions. This is done through a semi-classical self-consistent procedure, by solving the system of non-linear coupled equations describing the dynamics of the background field and the vacuum polarization. The black hole at its own horizon generates an indefinitely high temperature which decreases to the Hawking temperature at infinity. Due to the high temperature in its vicinity, there forms a bubble around the black hole in which the scalar field can only assume a value equal to zero, a minimum of energy. Thus, in this region the symmetry of the energy and the field is preserved. At the bubble radius, there is a phase transition in the value of the scalar field due to a spontaneous symmetry breaking mechanism. Indeed, outside the bubble radius the temperature is low enough such that the scalar field settles with a nonzero value in a new energy minimum, indicating a breaking of the symmetry in this outer region. Conversely, there is symmetry restoration from the outer region to the inner bubble close to the horizon. Specific properties that emerge from different black hole electric charges are also noteworthy. It is found that colder black holes, i.e., more charged ones, have a smaller bubble length of restored symmetry. In the extremal case the bubble has zero length, i.e., there is no bubble. Additionally, for colder black holes, it becomes harder to excite the quantum field modes, so the vacuum polarization has smaller values. In the extremal case, the black hole temperature is zero and the vacuum polarization is never excited.
引用
收藏
相关论文
共 50 条
  • [1] Spontaneously broken symmetry restoration of quantum fields in the vicinity of neutral and electrically charged black holes
    Quinta, Goncalo M.
    Flachi, Antonino
    Lemos, Jose P. S.
    JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (04)
  • [2] QUANTUM ELECTRODYNAMICS OF CHARGED BOSON FIELDS WITH A SPONTANEOUSLY BROKEN SYMMETRY
    HALLER, K
    SOHN, R
    PHYSICAL REVIEW D, 1976, 14 (02): : 479 - 486
  • [3] Quantized massive fields and semiclassical electrically charged black holes
    Berej, W
    Matyjasek, J
    ACTA PHYSICA POLONICA B, 2003, 34 (08): : 3957 - 3975
  • [4] SYMMETRY RESTORATION IN SPONTANEOUSLY BROKEN INDUCED GRAVITY
    AMATI, D
    RUSSO, J
    PHYSICS LETTERS B, 1990, 248 (1-2) : 44 - 50
  • [5] Spontaneously Broken Neutral Symmetry in an Ecological System
    Borile, C.
    Munoz, M. A.
    Azaele, S.
    Banavar, Jayanth R.
    Maritan, A.
    PHYSICAL REVIEW LETTERS, 2012, 109 (03)
  • [6] On Particle Collisions in the Vicinity of Charged Black Holes
    Timur Pryadilin
    Daniil Zhitov
    Vitalii Vertogradov
    Gravitation and Cosmology, 2024, 30 : 48 - 56
  • [7] On Particle Collisions in the Vicinity of Charged Black Holes
    Pryadilin, Timur
    Zhitov, Daniil
    Vertogradov, Vitalii
    GRAVITATION & COSMOLOGY, 2024, 30 (01): : 48 - 56
  • [8] RESTORATION OF SPONTANEOUSLY BROKEN SYMMETRY IN A MAGNETIC-FIELD
    SKALOZUB, VV
    SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR, 1978, 28 (01): : 113 - 115
  • [9] Spontaneous vectorization of electrically charged black holes
    Oliveira, Joao M. S.
    Pombo, Alexandre M.
    PHYSICAL REVIEW D, 2021, 103 (04)
  • [10] Massive photons and electrically charged black holes
    Dolgov, A. D.
    Gudkova, K. S.
    PHYSICS LETTERS B, 2020, 810