The leading low-T correction to the two-loop Heisenberg-Euler Lagrangian is extracted from derivatives of the one-loop zero-T version via real-time formalism, then dressed with tadpoles and resummed to all loops.
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Scalar φ^4 theory's symmetric and broken phases are related by a sign flip of the quartic coupling via analytically tractable saddle point expansions.
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Leading low-temperature correction to the Heisenberg-Euler Lagrangian
The leading low-T correction to the two-loop Heisenberg-Euler Lagrangian is extracted from derivatives of the one-loop zero-T version via real-time formalism, then dressed with tadpoles and resummed to all loops.
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On self-dualities for scalar $\phi^4$ theory
Scalar φ^4 theory's symmetric and broken phases are related by a sign flip of the quartic coupling via analytically tractable saddle point expansions.