arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1603.01201hep-phhep-th
收藏

在无质量猝灭标量QED中构造标量光子三点顶点

Constructing Scalar-Photon Three Point Vertex in Massless Quenched Scalar QED

L. Albino Fernandez-Rangel, A. Bashir, L. X. Gutierrez-Guerrero, Y. Concha-Sanchez

摘要:

Schwinger-Dyson方程(SDEs)的非微扰研究要求截断其无限耦合塔,以便将其简化为实际可解集。在这方面,一个物理上可接受的三点顶点的顶点是最喜欢的选择。标量量子电动力学(sQED)提供了一个简单而整洁的平台来解决这个问题。三点标量光子顶点的最一般形式可以用两个独立的形状因子来表示,一个是纵向的,一个是横向的。Ball和Chiu证明了通过Ward-Fradkin-Green-Takahashi恒等式(WFGTI)的要求,纵向顶点是固定的,而横向顶点仍然不确定。在无质量猝灭sQED中,我们构造了非微扰标量光子顶点的横向部分。这种构造(i)确保标量传播子的乘法重整化性(MR)与Landau-Khalatnikov-Fradkin变换(LKFT)保持一致,(ii)在电荷共轭、宇称和时间反演下具有与裸顶点相同的变换性质,(iii)没有运动学奇点,(iv)在理论的弱耦合区域再现一个循环渐近结果。

英文摘要:

Non perturbative studies of Schwinger-Dyson equations (SDEs) require their infnite, coupled tower to be truncated in order to reduce them to a practically solvable set. In this connection, a physically acceptable ansatz for the three point vertex is the most favorite choice. Scalar quantum electrodynamics (sQED) provides a simple and neat platform to address this problem. The most general form of the three point scalar-photon vertex can be expressed in terms of only two independent form factors, a longitudinal and a transverse one. Ball and Chiu have demonstrated that the longitudinal vertex is fixed by requiring the Ward-Fradkin-Green-Takahashi identity (WFGTI), while the transverse vertex remains undetermined. In massless quenched sQED, we construct the transverse part of the non perturbative scalar-photon vertex. This construction (i) ensures multiplicative renormalizability (MR) of the scalar propagator in keeping with the Landau-Khalatnikov-Fradkin transformations (LKFTs), (ii) has the same transformation properties as the bare vertex under charge conjugation, parity and time reversal, (iii) has no kinematic singularities and (iv) reproduces one loop asymptotic result in the weak coupling regime of the theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑