寻找真正的真空：自然有序、$γ$凝聚和最后的重整化
In search of the true vacuum: natural ordering, $γ$ condensate and the last renormalization
摘要：
通过消除$φ^4$场论真空能量中的主导发散的思想，引入了一个参数，该参数在有或没有正常有序的自由汉密尔顿之间进行插值。这导致了具有任意数量的粒子-粒子对的凝聚基态。除了通常的状态，凝聚支持负能量和负范数的状态。导出了凝聚态的显式表达式，并研究了凝聚态的微扰理论。传播子在质量壳外被修改，而在质量壳上不变。计算了真空能量的最低阶修正，并研究了消除领先发散的条件。一个可能的解决方案是，在这个公式中的所有辐射校正消失。另一种可能的解决方案意味着在$\frac{(2π)^2}{3}$和冷凝物的耦合之上的相变在耦合常数中是非解析的。可能的影响进行了讨论。
英文摘要：
With the idea of canceling the leading divergence in vacuum energy of $φ^4$ field theory a parameter is introduced that interpolates between free Hamiltonian with or without normal ordering. This leads to a condensate ground state having an arbitrary number of particle-particle pairs. In addition to the usual states, the condensate supports the states of negative energy and negative norm. An explicit expression for the condensate state is derived and perturbation theory with this state investigated. The propagator is modified off the mass shell while unchanged on the mass shell. Lowest order correction to the vacuum energy is calculated and conditions for cancelation of the leading divergence investigated. One possible solution is that all radiative corrections in this formulation vanish. The other possible solution implies a phase transition above the coupling of $\frac{(2π)^2}{3}$ and the condensate non-analytical in the coupling constant. Possible implications are discussed.
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