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Effective Hamiltonian for scalar theories in the Gaussian approximation

1995/07/31 by H. W. L. Naus, T. Gasenzer, H. --J. Pirner +1 · 1 citation
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph

paper · pdf · doi:10.1002/andp.19975090403

published as Annalen Phys. 6 (1997) 287-316 · 45 pages, 5 Figs., LaTeX, REPLACED VERSION CONTAINS NOW ONLY 80-CHARACTER LINES

arxiv created 1995/08/21 · openalex publication_date 1997/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Abstract 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.

Citations

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