论文标题
自二和拓扑之间的双重等效性，$ b \ wedge f $型号耦合到$ 3+1 $尺寸
Dual equivalence between self-dual and topologically massive $B\wedge F$ models coupled to matter in $3+1$ dimensions
论文作者
论文摘要
在这项工作中，我们重新审视了自我双重非规范理论与拓扑大规模理论之间的二元性，价格为$ 3+1 $。自偶拉的拉格朗日是由矢量场和反对称场张量组成的，而拓扑大型拉格朗日是使用$ b \ wedge f $术语构建的。尽管Lagrangians完全不同，但它们会屈服于运动方程，这些运动是通过田地之间简单的双映射连接的。我们通过分析这两种理论的自由度并比较经典层面的传播模式来讨论这种二元性。此外，我们采用总体行动方法来获得基本的拉格朗日，该方法在这两种理论之间插值，并使拓扑$ b \ wedge f $术语在二元关系中显而易见。通过将这些理论与物质领域耦合，我们表明双重性保持，只要包括弯曲的术语。此外，我们使用主操作来探测量化的二元性。我们进行了田地的功能整合，并比较了由此产生的有效拉格朗日人。
In this work, we revisit the duality between a self-dual non-gauge invariant theory and a topological massive theory in $3+1$ dimensions. The self-dual Lagrangian is composed by a vector field and an antisymmetric field tensor whereas the topological massive Lagrangian is build using a $B \wedge F$ term. Though the Lagrangians are quite different, they yield to equations of motion that are connected by a simple dual mapping among the fields. We discuss this duality by analyzing the degrees of freedom in both theories and comparing their propagating modes at the classical level. Moreover, we employ the master action method to obtain a fundamental Lagrangian that interpolates between these two theories and makes evident the role of the topological $B \wedge F$ term in the duality relation. By coupling these theories with matter fields, we show that the duality holds provided a Thirring-like term is included. In addition, we use the master action in order to probe the duality upon the quantized fields. We carried out a functional integration of the fields and compared the resulting effective Lagrangians.
