论文标题
弯曲的时空中无摩擦的紫外线激
Frictionless UV-finite Instantons in Curved Spacetime
论文作者
论文摘要
我们确定了一类新的UV-Complete Instanton解决方案，这些解决方案描述了特定弯曲的时空背景中真实标量场的false真空\ - 衰减。为此，我们考虑了具有Coleman电位的简单标量理论，并通过假设O（4） - 对称曲线时空来计算欧几里得动作$ s _ {\ text {e}} $。决定时空几何形状的函数$ a（r）可能会始终选择为常数，从而消除了运动方程式的阻力，并确保假真空和弹跳溶液的重力背景是相同的。通过采用标准的WKB和Gelfand-Yaglom方法，我们由于这种无摩擦弹跳溶液周围的量子波动而计算相应的预成分，该摩擦溶液在重新归一化后成为紫外线有限。讨论了这种无摩擦的紫外线激体的可能后果。
We identify a new class of UV-complete instanton solutions that describe the false vacuum\- decay of a real scalar field in a particular curved spacetime background. To this end, we consider a simple scalar theory with a Coleman potential and calculate the Euclidean action $S_{\text{E}}$ by assuming an O(4)-symmetric curved spacetime. The function $a(r)$ dictating the geometry of spacetime may consistently be chosen to be a constant, thereby eliminating the drag forces from the equations of motion and ensuring that the gravitational backgrounds of both the false vacuum and bounce solutions are identical. By employing standard WKB and Gelfand-Yaglom methods, we compute the corresponding prefactor due to quantum fluctuations around this frictionless bounce solution which becomes UV finite after renormalization. The possible consequences of such frictionless UV-finite instantons are discussed.
