论文标题
解决宇宙恒定问题的规模不变性的必要性和不足
Necessity and Insufficiency of Scale Invariance for solving Cosmological Constant Problem
论文作者
论文摘要
讨论了基于说明消失宇宙常数（CC）的规模不变性的方案。我首先注意到CC问题的奇迹事实，即真空能量在分层和连续的自发对称性破坏的每个步骤中都完全消失了。然后，我认为经典规模不变性是真空能量计算性的必要条件。 接下来，我讨论量表不变性解决CC问题的足够。首先，在古典田地理论的框架中，表现不变性为实现自发对称性破坏的每个步骤中消失的真空能量的奇迹提供了自然机制。然后，我指出，采用Englert-Truffin-Gastmans的处方来维持量表的不变性，我指出，仅量子尺度不变性尚不足够，无法避免耦合常数的超细胞调整，以实现消失的小宇宙学常数，而层次的问题可以解决。仍然需要另一种对称性或机制，该机制可以保护电势的平坦方向免受辐射校正。
A scenario based on the scale invariance for explaining the vanishing cosmological constant (CC) is discussed. I begin with a notice on the miraculous fact of the CC problem that the vacuum energies totally vanish at each step of hierarchical and successive spontaneous symmetry breakings. I then argue that the classical scale invariance is a necessary condition for the calculability of the vacuum energy. Next, I discuss how sufficient the scale invariance is for solving the CC problem. First in the framework of classical field theory, the scale invariance is shown to give a natural mechanism for realizing the miracle of vanishing vacuum energies at every step of spontaneous symmetry breakings. Then adopting Englert-Truffin-Gastmans' prescription to maintain the scale invariance in quantum field theory, I point out that the quantum scale invariance alone is not yet sufficient to avoid the superfine tuning of coupling constants for realizing vanishingly small cosmological constant, whereas the hierarchy problem may be solved. Another symmetry or a mechanism is still necessary which protects the flat direction of the potential against the radiative corrections.
