标题： 有限体积下的双井瞬子 显示英文标题

标题： Double-well instantons in finite volume

摘要： 假设一个有限体积的环面空间，我们解析地推导出标量场隧穿两个简并真空时的一圈真空能量，并考虑离散动量的影响。 利用阿贝尔-普朗卡公式，计算了任意维数下的卡西米尔能量，而一圈瞬子泛函行列式则通过波动算符的格林函数进行评估。 所得的能量特性非平凡：卡西米尔效应和隧穿都对由非广延的真实真空能量引起的“零能条件”违反做出了贡献。 我们讨论了此机制在无需修改引力或奇异物质的情况下诱导宇宙反弹的相关性。 显示英文摘要

摘要： Assuming a toroidal space with finite volume, we derive analytically the full one-loop vacuum energy for a scalar field tunnelling between two degenerate vacua, taking into account discrete momentum. The Casimir energy is computed for an arbitrary number of dimensions using the Abel-Plana formula, while the one-loop instanton functional determinant is evaluated using the Green's functions for the fluctuation operators. The resulting energetic properties are non-trivial: both the Casimir effect and tunnelling contribute to the Null Energy Condition violation, arising from a non-extensive true vacuum energy. We discuss the relevance of this mechanism to induce a cosmic bounce, requiring no modified gravity or exotic matter.