量子极端主义:有效势和极端路径
Quantum Extremism: Effective Potential and Extremal Paths
摘要:
量子场论中有效势的实在性和凸性在欧几里德时空的背景下得到了广泛的研究。它已被证明,规范和路径积分的方法可能会产生不同的结果,从而解决了“凸性问题”。我们讨论了这些治疗的转移闵可夫斯基时空,这也需要仔细讨论正是哪些字段配置给主导贡献的路径积分。特别地,我们研究了N=1线性西格玛模型的有效势。
英文摘要:
The reality and convexity of the effective potential in quantum field theories has been studied extensively in the context of Euclidean space-time. It has been shown that canonical and path-integral approaches may yield different results, thus resolving the `convexity problem'. We discuss the transferral of these treatments to Minkowskian space-time, which also necessitates a careful discussion of precisely which field configurations give the dominant contributions to the path integral. In particular, we study the effective potential for the N=1 linear sigma model.
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