Goldstone Theorem in the Gaussian Functional Approximation to the Scalar ϕ4 Theory
V. Dmitrašinović, J. R. Shepard, J. A. McNeil
Abstract
We verify the Goldstone theorem in the Gaussian functional approximation to the ϕ4 theory with internal O(2) symmetry. We do so by reformulating the Gaussian approximation in terms of Schwinger-Dyson equations from which an explicit demonstration of the Goldstone theorem follows directly.
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