000 02506nam a2200241Ia 4500
008 160627s1996||||xx |||||||||||||| ||und||
080 _aUNM Th-48
100 _aCheluvaraja, Srinath
_eauthor
245 _aFinite Temperature phase transitions in non-abelian gauge theories
260 _c1996
300 _aviii; 71p.
502 _a1996
502 _bPh.D
502 _cUniversity of Madras
520 3 _aThis thesis makes a systematic study of the SO(3) Lattice Gauge Theory at finite temperature. The study of the SO(3) Lattice Gauge Theory is important in understanding the implications of lattice gauge theories for the high temperature phase of the SU(2) Yang-Mills theory. The existence of a first order bulk transition at zero temperature that can influence its finite temperature behaviour, and the presence of a local symmetry which requires the usage of a different set of observables to study its property - are some of the complications present in the study of SO(3) theory. The Wilson-Polyakov line in the adjoint representation of SU(2) is mainly used to make the present study. The role of Z(2) monopoles in determining the various phases is considered. The adjoint Wilson line displays an unusual behaviour at low and high temperature is found, whereas the fundamental Wilson line is always zero in this model. The high temperature phase of the theory is analyzed by looking at single site histograms for the fundamental and adjoint Wilson lines, and interpreted for comparisons with the high temperature phase. It is shown that the high temperature phase of SO(3) LGT is like the deconfined phase of the SU(2) LGT theory, but unlike the breaking of any symmetry as in SU(2) theory. An interference of the bulk transition in the finite temperature theory is observed. The evidence for a new phase transition, within the relevance region with respect to continuum theory is presented; The conjectures phase diagram for the SO(3) LGT theory at finite temperature is presented, and contrasted with that of SU(2) LGT. The implications of the study results for the high temperature phase of the SU(2) Yang-Mills theory is discussed with the argument that it is in the Higgs Phase.
650 1 4 _aPhysics
653 1 0 _aPhase Transitions
653 1 0 _aSO(3) Lattice Gauge Theory
720 1 _aSharatchandra, H. S.
_eThesis advisor [ths]
856 _uhttp://www.imsc.res.in/xmlui/handle/123456789/72
942 _2THESIS70
_cTHESIS
999 _c48775
_d48775