http://www.sklogwiki.org/SklogWiki/index.php?action=history&feed=atom&title=Goldstone_modes 2026-04-29T06:27:58Z Revision history for this page on the wiki MediaWiki 1.41.0 http://www.sklogwiki.org/SklogWiki/index.php?title=Goldstone_modes&diff=12944&oldid=prev 2012-06-25T09:43:08Z

<p>Added a recent publication</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:43, 25 June 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Stub-general}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{Stub-general}}</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>'''Goldstone modes''' (also known as Goldstone bosons) arise from Goldstone's conjecture; that if there is continuous symmetry transformation under which the Lagrangian is invariant, then either the vacuum state is also invariant under the transformation, or there must exist spinless particles of zero mass.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>'''Goldstone modes''' (also known as <ins style="font-weight: bold; text-decoration: none;">Nambu-</ins>Goldstone <ins style="font-weight: bold; text-decoration: none;"> </ins>bosons)<ins style="font-weight: bold; text-decoration: none;">&lt;ref&gt;[http://dx.doi.org/10.1103/PhysRev.122.345 Y. Nambu and G. Jona-Lasinio "Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I", Physical Review '''122''' pp. 345-358 (1961)]&lt;/ref&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;ref&gt;[http://dx.doi.org/10.1103/PhysRev.127.965 Jeffrey Goldstone, Abdus Salam and Steven Weinberg "Broken Symmetries", Physical Review '''127''' pp. 965-970 (1962)]&lt;/ref&gt; </ins>arise from Goldstone's conjecture; that if there is continuous symmetry transformation under which the Lagrangian is invariant, then either the vacuum state is also invariant under the transformation, or there must exist spinless particles of zero mass.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==See also==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==See also==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[Mermin-Wagner theorem]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*[[Mermin-Wagner theorem]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==References==</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">#</del>[http://dx.doi.org/10.<del style="font-weight: bold; text-decoration: none;">1103</del>/<del style="font-weight: bold; text-decoration: none;">PhysRev.122.345 Y. Nambu and G. Jona-Lasinio </del>"<del style="font-weight: bold; text-decoration: none;">Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I</del>", <del style="font-weight: bold; text-decoration: none;">Physical Review </del>'''<del style="font-weight: bold; text-decoration: none;">122</del>''' <del style="font-weight: bold; text-decoration: none;">345</del>-<del style="font-weight: bold; text-decoration: none;">358 </del>(<del style="font-weight: bold; text-decoration: none;">1961</del>)]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">&lt;references/&gt;</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">#</del>[http://dx.doi.org/10.1103/<del style="font-weight: bold; text-decoration: none;">PhysRev</del>.<del style="font-weight: bold; text-decoration: none;">127</del>.<del style="font-weight: bold; text-decoration: none;">965 Jeffrey Goldstone, Abdus Salam </del>and <del style="font-weight: bold; text-decoration: none;">Steven Weinberg </del>"<del style="font-weight: bold; text-decoration: none;">Broken Symmetries</del>", Physical Review '''<del style="font-weight: bold; text-decoration: none;">127</del>''' <del style="font-weight: bold; text-decoration: none;">965-970 </del>(<del style="font-weight: bold; text-decoration: none;">1962</del>)]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">;Related reading</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">#</del>[<del style="font-weight: bold; text-decoration: none;">http</del>:<del style="font-weight: bold; text-decoration: none;">//dx.doi.org/10.1007/BF01646487  Sidney Coleman "There are no Goldstone bosons in two dimensions", Communications in Mathematical Physics '''31''' pp. 259-264 (1973)</del>]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*</ins>[http://dx.doi.org/10.<ins style="font-weight: bold; text-decoration: none;">1007</ins>/<ins style="font-weight: bold; text-decoration: none;">BF01646487  Sidney Coleman </ins>"<ins style="font-weight: bold; text-decoration: none;">There are no Goldstone bosons in two dimensions</ins>", <ins style="font-weight: bold; text-decoration: none;">Communications in Mathematical Physics </ins>'''<ins style="font-weight: bold; text-decoration: none;">31</ins>''' <ins style="font-weight: bold; text-decoration: none;">pp. 259</ins>-<ins style="font-weight: bold; text-decoration: none;">264 </ins>(<ins style="font-weight: bold; text-decoration: none;">1973</ins>)]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">*</ins>[http://dx.doi.org/10.1103/<ins style="font-weight: bold; text-decoration: none;">PhysRevLett</ins>.<ins style="font-weight: bold; text-decoration: none;">108</ins>.<ins style="font-weight: bold; text-decoration: none;">251602 Haruki Watanabe </ins>and <ins style="font-weight: bold; text-decoration: none;">Hitoshi Murayama </ins>"<ins style="font-weight: bold; text-decoration: none;">Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance</ins>", Physical Review <ins style="font-weight: bold; text-decoration: none;">Letters </ins>'''<ins style="font-weight: bold; text-decoration: none;">108</ins>''' <ins style="font-weight: bold; text-decoration: none;">251602 </ins>(<ins style="font-weight: bold; text-decoration: none;">2012</ins>)]</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[<ins style="font-weight: bold; text-decoration: none;">[category</ins>: <ins style="font-weight: bold; text-decoration: none;">quantum mechanics]</ins>]</div></td></tr> </table>

Carl McBride http://www.sklogwiki.org/SklogWiki/index.php?title=Goldstone_modes&diff=5009&oldid=prev 2007-11-20T13:33:08Z

<p>New page: {{Stub-general}} &#039;&#039;&#039;Goldstone modes&#039;&#039;&#039; (also known as Goldstone bosons) arise from Goldstone&#039;s conjecture; that if there is continuous symmetry transformation under which the Lagrangian is...</p> <p><b>New page</b></p><div>{{Stub-general}}<br /> &#039;&#039;&#039;Goldstone modes&#039;&#039;&#039; (also known as Goldstone bosons) arise from Goldstone&#039;s conjecture; that if there is continuous symmetry transformation under which the Lagrangian is invariant, then either the vacuum state is also invariant under the transformation, or there must exist spinless particles of zero mass.<br /> ==See also==<br /> *[[Mermin-Wagner theorem]]<br /> ==References==<br /> #[http://dx.doi.org/10.1103/PhysRev.122.345 Y. Nambu and G. Jona-Lasinio &quot;Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I&quot;, Physical Review &#039;&#039;&#039;122&#039;&#039;&#039; 345-358 (1961)]<br /> #[http://dx.doi.org/10.1103/PhysRev.127.965 Jeffrey Goldstone, Abdus Salam and Steven Weinberg &quot;Broken Symmetries&quot;, Physical Review &#039;&#039;&#039;127&#039;&#039;&#039; 965-970 (1962)]<br /> #[http://dx.doi.org/10.1007/BF01646487 Sidney Coleman &quot;There are no Goldstone bosons in two dimensions&quot;, Communications in Mathematical Physics &#039;&#039;&#039;31&#039;&#039;&#039; pp. 259-264 (1973)]</div>

Carl McBride