Goldstone Theorem in the Gaussian Functional Approximation to the Scalar ${\varphi }^4$ Theory

Abstract

We verify the Goldstone theorem in the Gaussian functional approximation to the ${\varphi }^4$ 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.

11 pages

Cited by in corpus (8)

• Optimized Perturbation Theory at Finite Temperature
• Goldstone Bosons in the Gaussian Approximation
• Fluctuation control of non-thermal orbital order
• Lifetime of Collective Isospin Rotations of a Quantum Meson Field
• Linear Sigma model in the Gaussian wave functional approximation II: Analyticity of the S-matrix and the effective potential/action
• Effective Hamiltonian for Scalar Theories in the Gaussian Approximation
• Some applications of renormalized RPA in bosonic field theories
• Study of Hadrons Using the Gaussian Functional Method in the O(4) Linear $\sigma$ Model