Effective Hamiltonian for Scalar Theories in the Gaussian Approximation

Details Effective Hamiltonian for Scalar Theories in the Gaussian Approximation Effective Hamiltonian for Scalar Theories in the Gaussian Approximation

1995-07-20

arxiv.org/abs/hep-ph/9507357v3

Annalen Phys. 6 (1997) 287-316

Physics

High Energy Physics

High Energy Physics - Phenomenology

45 pages, 5 Figs., LaTeX, REPLACED VERSION CONTAINS NOW ONLY 80-CHARACTER LINES

Scientific paper

10.1002/andp.19975090403

We use a Gaussian wave functional for the ground state to reorder the Hamiltonian into a free part with a variationally determined mass and the rest. Once spontaneous symmetry breaking is taken into account, the residual Hamiltonian can, in principle, be treated perturbatively. In this scheme we analyze the $O(1)$ and $O(2)$ scalar models. For the $O(2)$--theory we first explicitly calculate the massless Goldstone excitation and then show that the one-loop corrections of the effective Hamiltonian do not generate a mass.

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