非微扰量子挠率的宇宙学常数与欧氏空间
Cosmological constant and Euclidean space from nonperturbative quantum torsion
摘要:
本文将海森堡的非微扰量子化方法应用于引力的非微扰量子化。得到了所有格林函数的无穷方程组。一个近似被认为是:(a)度规仍然是一个经典场;(b)仿射连接可以分解成经典和量子部分;(c)仿射连接的经典部分是Christoffel符号;(d)量子部分是挠率。使用标量场和矢量场近似,它表明,非微扰量子效应引起的宇宙学常数和欧几里德解决方案。
英文摘要:
Heisenberg's nonperturbative quantization technique is applied to the nonpertrubative quantization of gravity. An infinite set of equations for all Green's functions is obtained. An approximation is considered where: (a) the metric remains as a classical field; (b) the affine connection can be decomposed into classical and quantum parts; (c) the classical part of the affine connection are the Christoffel symbols; (d) the quantum part is the torsion. Using a scalar and vector fields approximation it is shown that nonperturbative quantum effects gives rise to a cosmological constant and an Euclidean solution.
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