Published March 1981
| Version v1
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Energy gap, clustering, and the Goldstone theorem in statistical mechanics
Creators
- 1. Bedford Coll., London (UK). Dept. of Mathematics
- 2. Sao Paulo Univ. (Brazil). Inst. de Fisica
Description
A Goldstone type theorem for a wide class of lattice and continuum quantum systems is proved, both for the ground state and at non-zero temperature. For the ground state (T=0) spontaneous breakdown of a continuous symmetry implies no energy gap. For non-zero temperature, spontaneous symmetry breakdown implies slow clustering (no L sup(1) clustering). The methods apply also to non-zero temperature classical systems. (Author)
Availability note (English)
MF available from INIS under the Report Number.Abstract (Portuguese)
Prova-se um teorema do tipo Goldstone para uma larga classe de sistemas quanticos de rede e continuo, ambos para o estado fundamental e para temperaturas nao-zero. Para o estado fundamental (T=0) a quebra espontanea de uma simetria continua nao implica em lacuna de energia. Para temperatura nao zero, a quebra espontanea de simetria implica em lento aglomeramento (nenhum aglomeramento L sup(1)). Aplicam-se tambem os metodos para os sistemas classicos de temperaturas nao zero. (L.C.)Files
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Additional details
Publishing Information
- Imprint Pagination
- 18 p.
- Report number
- IFUSP-P--263
INIS
- Country of Publication
- Brazil
- Country of Input or Organization
- Brazil
- INIS RN
- 13700717
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ENERGY GAP; GROUND STATES; INTERACTION RANGE; STATISTICAL MECHANICS; SYMMETRY BREAKING; TEMPERATURE DEPENDENCE
- Descriptors DEC
- DISTANCE; ENERGY LEVELS; MECHANICS