The Investigation of Gauge Transformations in the SL_q(2) Gauge Field and Thermodynamics Model

摘要

Some problems about global transformations in the SL_q(2) gauge field and correlative thermodynamics model have been investigated in this paper. We proved that the quantum trace of gauge potential is not gauge-invariant if we compose two GQ_q(2) gauge transformations. In addition, it has been discovered in SL_q(2) thermodynamics model that thermodynamics average of an observable quantity does not satisfy similar gauge invariance. We also found that the thermodynamics average can be only calculated in the case of zero energy gap. This fact shows that the q-deformed energy equation in superconductivity theory is unable to derive naturally form quantum trace model.