Multiphoton amplitudes and generalized Landau-Khalatnikov-Fradkin transformation in scalar QED

被引：29

作者：

Ahmadiniaz, Naser ^{[1
,2
,4
]}

Bashir, Adnan ^{[1
]}

Schubert, Christian ^{[1
,3
]}

机构：

[1] Univ Michoacana, Inst Fis & Matemat, Apartado Postal 2-82, Morelia 58040, Michoacan, Mexico

[2] Univ Autonoma Chiapas, Fac Ciencias Fis & Matemat, Ciudad Univ, Tuxtla Gutierrez 29050, Mexico

[3] Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, D-14476 Golm, Germany

[4] Inst Basic Sci, Ctr Relativist Laser Sci, Gwangju 61005, South Korea

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 04期

关键词：

QUANTUM-FIELD THEORY; SCHWINGER-DYSON EQUATIONS; STRING-INSPIRED FORMALISM; PERTURBATION-THEORY; FERMION PROPAGATOR; VERTEX FUNCTION; 3-POINT VERTEX; GAUGE-THEORIES; WARD IDENTITY; LOOP;

D O I：

10.1103/PhysRevD.93.045023

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We apply the worldline formalism to amplitudes in scalar quantum electrodynamics involving open scalar lines, with an emphasis on their nonperturbative gauge dependence. At the tree level, we study the scalar propagator interacting with any number of photons in configuration space as well as in momentum space. At one loop we rederive, in an efficient way, the off-shell vertex in an arbitrary dimension and any covariant gauge. Generalizing the Landau-Khalatnikov-Fradkin transformation for the nonperturbative propagator, we find simple nonperturbative transformation rules for arbitrary x-space amplitudes under a change of the covariant gauge parameter in terms of conformal cross ratios.

引用

页数：17

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