arXiv 1506.014822015-06-04hep-phhep-th

中微子质量产生的新方法

Some Novel Ways for Neutrino Mass Generation

Nick E. Mavromatos

备注：: 10 pages latex, uses special (PoS) macros, one eps figure incorporated; Invited talk at the XVI International Workshop on Neutrino Telescopes, 2-6 March 2015, Palazzo Franchetti, Istituto Veneto, Venice, Italy

摘要：

我讨论了动力学产生的中微子质量在非常规的情况下，背景时空几何起着至关重要的作用。我讨论两种类型的背景：（i）洛伦兹破坏和（ii）几何与扭转。在前一种情况下，洛伦兹对称性的破坏，在尺度M下，可以被看作是质量产生的催化剂，并在中微子物种之间引起味道振荡，这些中微子物种在M的极限下生存到无穷大，导致中微子质量之间的等级。在后一种情况下，扭转自由度（的完全反对称分量）对应于四维时空中的赝标轴子场。这个领域被假定为混合，通过非对角动力学项，与普通的轴子领域，可能存在于理论中的其他原因，并耦合到中微子与手征改变汤川耦合。扭转普通轴子场混合负责，通过更高的回路异常图，动力学产生的马约拉纳质量。后一种情况也可以在某些（紧致化的）弦论模型中实现，其中（完全反对称的）挠率由自旋1的反对称张量（Kalb-Ramond）场的场强发挥作用，它存在于引力弦多重态中。

英文摘要：

I discuss dynamical generation of neutrino masses in unconventional scenarios where the background space-time geometry plays a crucial role. I discuss two types of backgrounds: (i) Lorentz Violating and (ii) Geometries with Torsion. In the former case, the violation of Lorentz symmetry, at a scale M, may be viewed as a catalyst for mass generation and induced flavour oscillations among neutrino species, which survive the limit of M taken to infinity, leading to a hierarchy among neutrino masses. In the latter case, the (totally antisymmetric components of the) torsion degrees of freedom correspond to a pseudoscalar axion field in four space-time dimensions. This field is assumed to be mixed, through non-diagonal kinetic terms, with ordinary axion fields that may exist in the theory for other reasons and couple to neutrinos with chirality changing Yukawa couplings. The torsion-ordinary-axion-field mixing is responsible, through higher-loop anomalous graphs, for the dynamical generation of Majorana masses. The latter scenarios can also be realised in some (compactified) string theory models, where the (totally antisymmetric) torsion is played by the field strength of the spin-one antisymmetric tensor (Kalb-Ramond) field, which exists in the gravitational string multiplet.

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英文摘要：

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