论文标题
梯度对量规理论中虚真空衰减的影响
Gradient effects on false vacuum decay in gauge theory
论文作者
论文摘要
我们研究了具有几乎变性的多项式势的测量复杂标量场的假真空衰减。使用有效作用计算在平面薄壁近似中计算成核气泡和完整衰减速率的辐射校正。这允许以自一致的方式解释反弹背景和辐射校正的不均匀性。与标量或费米循环相反，对于量规场，必须处理混合金石玻色子和量规场的耦合系统，这使Green功能的数值计算变得相当复杂。除了对耦合的重新归一化之外，我们还采用协变梯度扩展，以系统地构建波函数重新归一化的反术。但是，整个衰减率的结果不依赖于这种扩展，并在循环扩展的选定截断时解释了所有梯度校正。随后的梯度效应显示出与非衍生单环校正的数量级相同。
We study false vacuum decay for a gauged complex scalar field in a polynomial potential with nearly degenerate minima. Radiative corrections to the profile of the nucleated bubble as well as the full decay rate are computed in the planar thin-wall approximation using the effective action. This allows to account for the inhomogeneity of the bounce background and the radiative corrections in a self-consistent manner. In contrast to scalar or fermion loops, for gauge fields one must deal with a coupled system that mixes the Goldstone boson and the gauge fields, which considerably complicates the numerical calculation of Green's functions. In addition to the renormalization of couplings, we employ a covariant gradient expansion in order to systematically construct the counterterm for the wave-function renormalization. The result for the full decay rate however does not rely on such an expansion and accounts for all gradient corrections at the chosen truncation of the loop expansion. The ensuing gradient effects are shown to be of the same order of magnitude as non-derivative one-loop corrections.
