1986
DOI: 10.1016/s0550-3213(86)80031-1
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The constraint effective potential

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Cited by 147 publications
(160 citation statements)
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“…Once the effective classical potential V c β (q c ) is obtained, it is straightforward to calculate the standard effective potential as shown below [22].…”
Section: B Effective Potential Analytic Continuation Methodsmentioning
confidence: 99%
“…Once the effective classical potential V c β (q c ) is obtained, it is straightforward to calculate the standard effective potential as shown below [22].…”
Section: B Effective Potential Analytic Continuation Methodsmentioning
confidence: 99%
“…It has been shown that V eff (φ ce ) must be convex, a property violated by the double-or more-hump designer potentials [1,10,17].…”
Section: The Inflationary Cosmologymentioning
confidence: 99%
“…A different definition often used is the "constraint effective potential" [10], where one fixes the spatial average of φ in a volume V to beφ (by introducing a δ-function in the action), and then analyses logZ with this value. The constraint effective potential need not be convex in a finite volume, but as shown in [10] it becomes convex in the thermodynamic limit, and then agrees with the standard definition.…”
Section: The Inflationary Cosmologymentioning
confidence: 99%
“…8 A complete description of this mechanism is clearly beyond the reach of perturbation theory, because no classically stable magnetic monopole solutions exist in pure gauge theories.…”
Section: Instability Of the Effective Potential For Non-abelian Gamentioning
confidence: 99%
“…A better approximation is obtained by a superposition of two Gaussians, centered at Φ = ±v and weighted so that Φ = φ. This procedure corresponds, effectively, to a Maxwell construction of the true effective potential [3][4][5][6][7][8].…”
Section: Introductionmentioning
confidence: 99%