Txhua qhov kev ntsuas qhov ntsuas uas tau txiav txim siab hauv cov ntaub ntawv yog txuas ntxiv SU(N) symmetric. Kuv cov lus nug yog vim li cas thiaj li ib txwm txuas ntxiv pab pawg txiav txim siab rau kev ntsuas qhov sib luag?
Puas ntsuas symmetries lub cev?
Gauge symmetries characterize a class of physical theories, thiaj li hu ua gauge theories or gauge field theories, raws li qhov yuav tsum tau muaj ntawm invariance nyob rau hauv ib pawg ntawm transformations, thiaj li hu ua gauge transformations, uas tshwm sim nyob rau hauv ib tug kev tshawb xav lub moj khaum yog hais tias lub theory muaj ntau variables ntau tshaj li muaj lub cev…
Vim li cas gauge symmetry tsis symmetry?
Gauge symmetry tsis yog symmetry tiag tiag vim qhov ntsuas kev hloov pauv tsis cuam tshuam txog cov xeev sib txawv. Nws qhia tias ob lub xeev yeej zoo ib yam Yog li yog tias koj muaj ob lub xeev thiab koj tuaj yeem nkag mus rau ib qho ntawm lwm tus, lawv yeej yog tib lub xeev. Txhawm rau suav nrog ob qho tib si yuav ua rau Hilbert qhov chaw ua tiav.
Puas ntsuas qhov sib npaug?
Ib symmetry yog qhov sib txawv ntawm Hamiltonian nyob rau hauv kev hloov pauv ntawm quantum xeev, uas yog cov ntsiab lus ntawm qhov chaw Hilbert. Gauge symmetry tsis yog symmetry vim tias kev sib hloov pauv tsis hloov lub xeev quantum.
Puas ntsuas qhov sib txawv yog qhov sib luag?
Vim txhua yam invariance nyob rau hauv ib qho kev hloov pauv yog suav tias yog symmetry, gauge invariance yog qee zaum hu ua gauge symmetry. … Qhov tseem ceeb ntawm cov kev siv zog no yog Tus Qauv Qauv, quantum field theory uas yog kwv yees tag nrho cov kev sib tshuam tseem ceeb tshwj tsis yog lub ntiajteb txawj nqus.
