Effective non-symmetric Hamiltonians and Goldstone boson spectrum

Journal Article · Mon Aug 01 00:00:00 EDT 1988 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(88)90046-2· OSTI ID:6793264

Morchio, G; Strocchi, F

A generalization of the Goldstone theorem is derived which includes the case of non-symmetric Hamiltonains. In particualr, this provides the modification of the Goldstone boson spectrum due to a non-symmetric perturbation. Such a generaized Goldstone theorem is particularly relevant in the case of long range interactions, where the removal of the infrared cutoff leads to a non-symmetric effective Hamiltonian, starting from a symmetric infrared cutoff dynamics. This phenomenon is shown to be related to the infrared counterterms which are necessary to guarantee the stability under time evolution of the algebra of essentially localized observables. Explicit applications of the above structures are discussed, like the Heisenberg model, the chiral symmetry sum rules, the f-sum rule, and the long-wavelength perfect screening sum rule for Coulomb systems in uniform background, the Kibble model, etc. copyright 1988 Academic Press, Inc.

• Research Organization: Dipartimento di Fisica, Universita di Pisa, Piazza Torricelli, 2, 56100 Pisa, Italy
• OSTI ID: 6793264
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 185:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GOLDSTONE BOSONS
CHIRAL SYMMETRY
ENERGY SPECTRA
GOLDSTONE DIAGRAMS
HAMILTONIANS
INFRARED DIVERGENCES
LIE GROUPS
MANY-BODY PROBLEM
PERTURBATION THEORY
RENORMALIZATION
SYMMETRY BREAKING
UNIFIED GAUGE MODELS
BOSONS
DIAGRAMS
ELEMENTARY PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM OPERATORS
SPECTRA
SYMMETRY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory