论文标题

拓扑质量产生和$ 2- $表格

Topological mass generation and $2-$forms

论文作者

Almeida, Juan P. Beltrán, Guarnizo, Alejandro, Heisenberg, Lavinia, Valenzuela-Toledo, César A., Zosso, Jann

论文摘要

在这项工作中,我们重新审视了两种形式的拓扑质量产生,并建立了与在系统构建大量$ 2- $形式相互作用的四分之一构建中产生的独特衍生耦合的联系,并以这种方式与bf理论相关,与2型的2型理论相关。就无质量$ 1- $的形式$ a $和$ 2- $ 2- $ b $的$ 1- $ b $而言,拓扑术语表现为交互作用$ b \ wedge f $,其中$ f = {\ rm d} a $是$ 1- $形式的场强。这种相互作用导致产生质量的机制,通常称为“质量拓扑产生”,其中$ 2- $形式传播的单个自由度被$ 1- $形式吸收,从而产生了$ 1- $形式的巨大模式。使用Levi-Civita张量的系统构造,显示出,除了二次和四分之一的Lagrangians外,不存在对大规模2形式的Galileon样衍生性自相互作用。一个独特的四分之一的Lagrangian $ε^{μνρσ}ε^{αβγ} _ {\; \; \; \; \; \; \; \; \; \; x} \partial_μb_{αρ} \ partial_v} \partial_νb_{βγγ} $在其上所构建的过程中,这是如此之所一旦引入了总体一般函数。我们表明,它与拓扑质量产生的相同相互作用完全对应。基于对相互作用的去耦极限分析,我们为这种拓扑质量项的独特性和不存在类似Galileon的相互作用的独特性提出了支持论点。最后,我们讨论了一些宇宙学中的一些初步应用。

In this work we revisit the topological mass generation of 2-forms and establish a connection to the unique derivative coupling arising in the quartic Lagrangian of the systematic construction of massive $2-$form interactions, relating in this way BF theories to Galileon-like theories of 2-forms. In terms of a massless $1-$form $A$ and a massless $2-$form $B$, the topological term manifests itself as the interaction $B\wedge F$, where $F = {\rm d} A$ is the field strength of the $1-$form. Such an interaction leads to a mechanism of generation of mass, usually referred to as "topological generation of mass" in which the single degree of freedom propagated by the $2-$form is absorbed by the $1-$form, generating a massive mode for the $1-$form. Using the systematical construction in terms of the Levi-Civita tensor, it was shown that, apart from the quadratic and quartic Lagrangians, Galileon-like derivative self-interactions for the massive 2-form do not exist. A unique quartic Lagrangian $ε^{μνρσ}ε^{αβγ}_{\;\;\;\;\;\;σ}\partial_μB_{αρ}\partial_νB_{βγ}$ arises in this construction in a way that it corresponds to a total derivative on its own but ceases to be so once an overall general function is introduced. We show that it exactly corresponds to the same interaction of topological mass generation. Based on the decoupling limit analysis of the interactions, we bring out supporting arguments for the uniqueness of such a topological mass term and absence of the Galileon-like interactions. Finally, we discuss some preliminary applications in cosmology.

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