A non-local yet gauge-invariantly massive 2-form model is considered that leads to local and unitary dynamics upon proper gauge-fixing. Since canonical momenta cannot be defined owing to the non-locality, consistent quantization of this system warrants particular care. We construct the Dirac brackets and covariant commutators for this model, followed by its path integral quantization, leading to consistent results. These treatments underline the most efficient way to extract the physical modes and the subsequent spectrum is free from infrared ambiguity. Physically the massive 2-form represents a spin-1 excitation, with potential application to string theory and cosmology, that can mediate a screened interaction when topologically coupled to fermions.

中文翻译：

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量化非局部大规模 2 型模型


考虑了一种非局部但规范不变的大规模 2 型模型，该模型在适当的规范固定下会导致局部和统一的动力学。由于由于非局部性而无法定义规范动量，因此该系统的一致量化需要特别注意。我们为该模型构造了狄拉克括号和协变换向器，然后对其路径积分量化，得到了一致的结果。这些处理强调了提取物理模式的最有效方法，并且后续光谱没有红外模糊性。从物理上讲，大量的 2-形式代表了自旋 1 激发，具有在弦理论和宇宙学中的潜在应用，当与费米子拓扑耦合时可以介导屏蔽相互作用。