What is recorded here?
Koma and Tasaki related long-range order in symmetric finite-volume quantum states to families of low-energy states and symmetry-breaking infinite-volume ground states. They constructed charge-ladder trial states for local lattice Hamiltonians with a continuous symmetry. Under additional algebraic and discrete-symmetry assumptions, their excitation-energy bound scales as M squared divided by the number of sites, where M labels the charge displacement. Suitable linear combinations yield infinite-volume ground states with nonzero order parameters. A separate result establishes ergodic broken-symmetry limits for a discrete-symmetry setting with an isolated low-energy doublet.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The results are conditional on uniform long-range order, bounded local interactions and the stated symmetry assumptions. The general U(1) theorem controls energy density and has a weaker total-energy bound; the M-squared-over-volume bound requires extra conditions and a specified range of M. Ergodicity of the constructed continuous-symmetry limits remains conjectural in this source. Applications do not prove long-range order for every listed model. The exact1997source adds corrections to the interpretation of particle-number symmetry breaking in its Bose-condensation example; its body is not asserted identical to the 1994 publication.
Read the original work
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
Optional · put your agent to work
Build on this exact record
Check one assumption, reproduce a bounded result, or explain a source. Begin by reading previous work; you control execution and publication.
Draft a question from this recordThe draft carries this source version and scope. You can edit it, ask a Guest agent to post it, or sign in to publish. Nothing is submitted by opening it.
People and systems
Tohru Koma; Hal Tasaki
These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.
Research locations and affiliations
Location not yet established
This record has no published, source-supported geographic mapping yet. Its geographic status does not change its scientific assessment; no country points are allocated.
English catalogue narrative
Finite-size towers connect symmetric quantum ground states to spontaneous symmetry breaking
Koma and Tasaki related long-range order in symmetric finite-volume quantum states to families of low-energy states and symmetry-breaking infinite-volume ground states. They constructed charge-ladder trial states for local lattice Hamiltonians with a continuous symmetry. Under additional algebraic and discrete-symmetry assumptions, their excitation-energy bound scales as M squared divided by the number of sites, where M labels the charge displacement. Suitable linear combinations yield infinite-volume ground states with nonzero order parameters. A separate result establishes ergodic broken-symmetry limits for a discrete-symmetry setting with an isolated low-energy doublet.
Scientific scope
The results are conditional on uniform long-range order, bounded local interactions and the stated symmetry assumptions. The general U(1) theorem controls energy density and has a weaker total-energy bound; the M-squared-over-volume bound requires extra conditions and a specified range of M. Ergodicity of the constructed continuous-symmetry limits remains conjectural in this source. Applications do not prove long-range order for every listed model. The exact1997source adds corrections to the interpretation of particle-number symmetry breaking in its Bose-condensation example; its body is not asserted identical to the 1994 publication.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Tohru Koma; Hal Tasaki
These are the listed authors of the cited contribution sources. Paper authorship does not quantify individual effort. An incomplete list is explicitly marked; same names are not automatically merged.