Worldline path integrals for the graviton

被引：5

作者：

Bastianelli, Fiorenzo ^{[1
,2
]}

Damia Paciarini, Mattia ^{[1
,3
]}

机构：

[1] Univ Bologna, Dipartimento Fis & Astron Augusto Righi, Via Irnerio 46, I-40126 Bologna, Italy

[2] Sez Bologna, INFN, Via Irnerio 46, I-40126 Bologna, Italy

[3] Southern Denmark Univ, Quantum Theory Ctr QTC & D IAS, Campusvej 55, DK-5230 Odense M, Denmark

来源：

CLASSICAL AND QUANTUM GRAVITY | 2024年 / 41卷 / 11期

关键词：

quantum gravity; path integrals; worldline formalism; GREEN-FUNCTIONS; CURVED SPACES; INVARIANCE; EXPANSION; PARTICLES; DYNAMICS; SPIN;

D O I：

10.1088/1361-6382/ad3f69

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We present an extension to arbitrary dimensions of a worldline path integral approach to one-loop quantum gravity, which was previously formulated in four spacetime dimensions. By utilizing this method, we recalculate gauge invariant coefficients related to the UV divergences of quantum gravity. These gauge invariant coefficients were previously obtained in arbitrary dimensions through two alternative techniques: the quantization of the N = 4 spinning particle that propagates the graviton on Einstein spaces and the more conventional heat kernel approach. Our worldline path integrals are closer to the latter method and are employed to compute the trace of the heat kernel.

引用

页数：20

共 52 条

[1] PAIR PRODUCTION AT STRONG COUPLING IN WEAK EXTERNAL FIELDS [J].