重新规范化初始状态
Renormalizing an initial state
摘要:
微扰量子场论的复杂机制主要致力于理论的“动力学”方面:简单的状态以复杂的方式演化。这篇文章开始解决这种不平衡的待遇。虽然很难精确地求解相互作用理论的本征态,但一般的态及其演化仍然可以根据自由理论定义的传播子和结构微扰地构造出来。在这幅图中,初始状态的具体形式是通过对格林函数施加适当的“重整化条件”而确定的。这种技术的说明与一个例子,从通货膨胀,nonrenormalizable运营商的存在,并在那里的扩展,自然耦合早期的时间与短距离的能力,在一个有限的初始时间开始的理论特别可取。
英文摘要:
The intricate machinery of perturbative quantum field theory has largely been devoted to the 'dynamical' side of the theory: simple states are evolved in complicated ways. This article begins to address this lopsided treatment. Although it is rarely possible to solve for the eigenstates of an interacting theory exactly, a general state and its evolution can nonetheless be constructed perturbatively in terms of the propagators and structures defined with respect to the free theory. The detailed form of the initial state in this picture is fixed by imposing suitable `renormalization conditions' on the Green's functions. This technique is illustrated with an example drawn from inflation, where the presence of nonrenormalizable operators and where an expansion that naturally couples early times with short distances make the ability to start the theory at a finite initial time especially desirable.
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