We consider Riemann–Cartan gravity with minimal Palatini action, which is classically equivalent to Einstein gravity. Following the ideas of Lipatov (Nucl Phys B 365:614–632, 1991, Phys Part Nucl 44:391–413, 2013, Subnucl Ser 49:131, 2013, Subnucl Ser 50:213–225, 2014, Int J Mod Phys A 31(28/29):1645011, 2016, EPJ Web Conf 125:01010, 2016) and Bartels et al. (JHEP 07:056, 2014) we propose the effective action for this theory aimed at the description of the high-energy scattering of gravitating particles in the multi-Regge kinematics. We add to the Palatini action the new terms. These terms are responsible for the interaction of gravitational quanta with gravitational reggeons. The latter replace exchange by multiple gravitational excitations. We propose the heuristic explanation of its particular form based on an analogy to the reggeon field theory of QCD. We argue that Regge kinematics assumes the appearance of an effective two-dimensional model describing the high-energy scattering similar to that of QCD. Such a model may be formulated in a way leading to our final effective theory. It contains interaction between the ordinary quanta of spin connection and vielbein with the gravitational reggeons.

我们考虑具有最小帕拉蒂尼作用的黎曼-嘉当引力，这在经典上等同于爱因斯坦引力。遵循 Lipatov 的想法 (Nucl Phys B 365:614–632, 1991, Phys Part Nucl 44:391–413, 2013, Subnucl Ser 49:131, 2013, Subnucl Ser 50:213–225, In J Phys 2014 A 31(28/29):1645011, 2016, EPJ Web Conf 125:01010, 2016) 和 Bartels 等人。(JHEP 07:056, 2014) 我们提出了该理论的有效行动，旨在描述多 Regge 运动学中引力粒子的高能散射。我们将新条款添加到 Palatini 操作中。这些术语负责引力量子与引力区的相互作用。后者用多重引力激发代替交换。我们基于对 QCD 的reggeon 场论的类比，提出了对其特定形式的启发式解释。我们认为 Regge 运动学假设了一个有效的二维模型的出现，描述了类似于 QCD 的高能散射。这样的模型可以以导致我们最终有效理论的方式制定。它包含自旋连接的普通量子和 vielbein 与引力区之间的相互作用。