Resummation Methods at Finite Temperature: The Tadpole Way

Abstract

We examine several resummation methods for computing higher order corrections to the finite temperature effective potential, in the context of a scalar ${\varphi }^4$ theory. We show by explicit calculation to four loops that dressing the propagator, not the vertex, of the one-loop tadpole correctly counts ``daisy'' and ``super-daisy'' diagrams.

18 pages, LaTeX, CALT-68-1858, HUTP-93-A011, EFI-93-22

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• High Temperature Resummation in the Linear $\delta$-Expansion
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• The gauge invariant effective potential: equilibrium and non-equilibrium aspects
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• Self-consistently Improved Finite Temperature Effective Potential for Gauge Theories
• A 2 Loop 2PPI Analysis of $\lambda {\varphi }^4$ at Finite Temperature
• Stop comparing resummation methods
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• Gravitational Waves from Phase Transition in Minimal SUSY $U(1{)}_{B-L}$ Model
• Self Consistent Thermal Resummation: A Case Study of the Phase Transition in 2HDM
• A strongly first order electroweak phase transition from strong symmetry-breaking interactions
• On the Chiral Phase Transition in the Linear Sigma Model
• Gravitational waves and tadpole resummation: Efficient and easy convergence of finite temperature QFT
• Coleman-Weinberg SO(10) GUT Theories as Inflationary Models
• Dark Matter and Electroweak Baryogenesis with Spontaneous $CP$ Violation in the Early Universe
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• Effective Potential Improvements, $\epsilon$-expansions, and the Electroweak Phase Transition