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Non-perturbative Evaluation of the Effective Potential of $\lambda\phi^4$ Theory at Finite Temperature under the Super-Daisy Approximation
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We calculate the effective potential of the scalar theory at finite temperature under the super-daisy approximation, after expressing its derivative with respect to mass square in terms of the full propagator. This expression becomes the self-consistent equation for the derivative of the effective potential. We find the phase transition is first order with this approximation. We compare our result with others.
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Spontaneous symmetry breaking induced by curvature : Analysis via non-perturbative 2PI Hartree approximation
Curvature, via resummed 2PI Hartree self-energy, can induce spontaneous symmetry breaking for a minimally coupled scalar with positive mass squared in de Sitter spacetime.
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