论文标题
$ o（1/n_f^2）$ in三维$ \ mathcal {n} = 1 $ supersymmetric Qed
Electron mass anomalous dimension at $O(1/N_f^2)$ in three-dimensional $\mathcal{N}=1$ supersymmetric QED
论文作者
论文摘要
我们认为具有$ n_f $电子口味的无质量的三维$ \ MATHCAL {N} = 1 $ SUPERSMETRIMPRIC量子电动力学（QED）。在尺寸还原方案中，我们计算与$ 1/n_f $膨胀的临近领顺序和任意协变量计的临界质量异常尺寸相对应的关键指数以及（均等）质量异常尺寸。仪表不变的质量质量异常的尺寸和Selectron的平等性是由于Epsilon-Scalars所扮演的微妙作用而产生的。我们的一般框架还使我们能够计算纯标量QED的关键指数，并在Spinor QED的情况下恢复已知结果。考虑到我们的结果将其应用于动态电子质量产生。我们发现证据表明，尽管旋转QED中发生动态风味对称性破裂，但纯标量QED和超对称QED都保持在相互作用的保形相处。
We consider massless three-dimensional $\mathcal{N}=1$ supersymmetric quantum electrodynamics (QED) with $N_f$ flavours of electrons. Within the dimensional reduction scheme, we compute the critical exponents corresponding to both the electron and selectron field and (parity-even) mass anomalous dimensions at the next-to-leading order in the $1/N_f$ expansion and in an arbitrary covariant gauge. The equality of the gauge-invariant mass anomalous dimensions of the electron and the selectron is found to result from a subtle role played by the epsilon-scalars. Our general framework also allows us to compute the critical exponents of pure scalar QED and to recover known results in the case of spinor QED. An application of our results to dynamical (s)electron mass generation is considered. We find evidence that, while dynamical flavor symmetry breaking occurs in spinor QED, both pure scalar QED and supersymmetric QED remain in an interacting conformal phase.
