Curvature bound from gravitational catalysis
Curvature bound from gravitational catalysis
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DOI：
10.1103/physrevd.97.085017
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发表时间：
2018-02
影响因子：
5
通讯作者：
H. Gies;Riccardo Martini
中科院分区：
文献类型：
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作者：
H. Gies;Riccardo Martini
我们从完整的远程手性对称性的要求出发，确定了时空局部斑块曲率的界。这些边界来自于对引力催化及其对手性有序参数有效势的影响的标度相关分析，如在具有局部双曲性质的弯曲时空上由费米子涨落引起的。该边界用局部曲率标量表示，以尺度不变的粗粒度尺度为单位。我们认为，服从这个曲率界的任何有效的量子引力场论都是安全的，不会通过引力催化导致手性对称性的突破，从而与低能谱中手性费米子的同时存在相兼容。随着维数的增加，以双曲尺度参数表示的曲率界变得更强。将曲率界应用于四个时空维度的量子引力的渐近安全场景，可转化为粒子物理模型中物质含量的界。
We determine bounds on the curvature of local patches of spacetime from the requirement of intact long-range chiral symmetry. The bounds arise from a scale-dependent analysis of gravitational catalysis and its influence on the effective potential for the chiral order parameter, as induced by fermionic fluctuations on a curved spacetime with local hyperbolic properties. The bound is expressed in terms of the local curvature scalar measured in units of a gauge-invariant coarse-graining scale. We argue that any effective field theory of quantum gravity obeying this curvature bound is safe from chiral symmetry breaking through gravitational catalysis and thus compatible with the simultaneous existence of chiral fermions in the low-energy spectrum. With increasing number of dimensions, the curvature bound in terms of the hyperbolic scale parameter becomes stronger. Applying the curvature bound to the asymptotic safety scenario for quantum gravity in four spacetime dimensions translates into bounds on the matter content of particle physics models.