标题： 孤立子解周围的量子一致展开 显示英文标题

标题： Consistent Quantum Expansion Around Soliton Solutions

摘要： 我证明了，将半经典方法应用于1+1维场论时（正如Dashen、Hasslacher和Neveu最初讨论的那样），会明确违反庞加莱代数。 这一问题可追溯到紫外发散的正则化错误，可以通过采用不同的正则化方法来解决。 我还进一步表明，在sine-Gordon理论的双重解情况下，Dashen、Hasslacher和Neveu给出的半经典处理会导致模糊的结果，这些结果依赖于重整化反项的选择。 我讨论了一种一致的弱耦合展开方法，这种方法不会出现上述问题。 显示英文摘要

摘要： I show that a standard application of the semiclassical techniques to 1+1 dimensional field theories, as originally discussed by Dashen, Hasslacher and Neveu, explicitly violates the Poincare algebra. This problem is traced to the incorrect regularization of the ultraviolet divergences and can be resolved by using a different regularization. I further show that in the case of the doublet solutions in the sine-Gordon theory the semiclassical treatment given by Dashen, Hasslacher and Neveu leads to ambiguous results which depend on the choice of the renormalization counterterm. I discuss a consistent weak coupling expansion which does not suffer from this problem.