Quantum Extremism: Effective Potential and Extremal Paths

Details Quantum Extremism: Effective Potential and Extremal Paths Quantum Extremism: Effective Potential and Extremal Paths

2009-07-07

arxiv.org/abs/0907.1174v1

Eur.Phys.J.C65:303-310,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 4 figures

Scientific paper

10.1140/epjc/s10052-009-1179-8

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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