The paper derives new formulas for the topological mass and two-loop vacuum energy of a massless λφ⁴ scalar in quasi-periodic Minkowski and half-Einstein spacetimes.
The Effective Potential, the Renormalisation Group and Vacuum Stability
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abstract
We review the calculation of the the effective potential with particular emphasis on cases when the tree potential or the renormalisation-group-improved, radiatively corrected potential exhibits non-convex behaviour. We illustrate this in a simple Yukawa model which exhibits a novel kind of dimensional transmutation. We also review briefly earlier work on the Standard Model. We conclude that, despite some recent claims to the contrary, it can be possible to infer reliably that the tree vacuum does not represent the true ground state of the theory.
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Ground state energy and topological mass in spacetimes with nontrivial topology
The paper derives new formulas for the topological mass and two-loop vacuum energy of a massless λφ⁴ scalar in quasi-periodic Minkowski and half-Einstein spacetimes.