论文标题
量子重力中的精确费米克·塞蒙斯 - 科达玛州
An Exact Fermionic Chern-Simons-Kodama State in Quantum Gravity
论文作者
论文摘要
Chern-simons-kodama（CSK）状态是经典一般相对性的Ashtekar公式中的精确，非扰动波函数。在这项工作中，我们通过求解Wheeler-Dewitt方程的扩展重力和费米子哈密顿式约束，从而找到了广义的费米子CSK状态。我们表明，这种新状态在对称对称性降低到FRW坐标后，通过扰动的费米子校正减少了原始的Kodama状态，与宇宙学中宇宙的Hartle-Hawking和Vilenkin Wave函数接触。我们还发现，当扭转和费米子都不逐渐消失时，波函数具有有限的振幅来逃避大爆炸曲率奇异性。
The Chern-Simons-Kodama (CSK) state is an exact, non-perturbative wave function in the Ashtekar formulation of classical General Relativity. In this work, we find a generalized fermionic CSK state by solving the extended gravitational and fermionic Hamiltonian constraints of the Wheeler-DeWitt equation exactly. We show that this new state reduces to the original Kodama state upon symmetry reduction to FRW coordinates with perturbative fermionic corrections, making contact with the Hartle-Hawking and Vilenkin wave functions of the universe in cosmology. We also find that when both torsion and fermions are non-vanishing, the wave function possesses a finite amplitude to evade the Big Bang curvature singularity.
