Gauge theories based on quantum groups, representations of the braid group
| dc.contributor | Graduate Program in Physics. | |
| dc.contributor.advisor | Arık, Metin. | |
| dc.contributor.author | Yıldız, Ali. | |
| dc.date.accessioned | 2023-03-16T10:38:04Z | |
| dc.date.available | 2023-03-16T10:38:04Z | |
| dc.date.issued | 1993. | |
| dc.description.abstract | Possible formulations of gauge field models where the gauge group is a quantum group are discussed. The exponential map from the generators of the Lie algebra analog of the quantum group SUq(2) to the quantum group SUq(2) itself is presented. The q-deformed Yang-Mills theory is introduced via the definition of the q-trace and the q-deformed YangMills lagrangian which is invariant under the quantum group gauge transformations. The gauge field takes values in the quantum universal enveloping algebra of SUq(2). As a result of this construction a Weinberg type mixing angle which depends on the quantum group deformation parameter q is obtained. The representations of the n-braid group where generators are given essentially by 2 x 2 matrices whose elements belong to a noncommutative algebra are presented. The Burau representation arises as a special (commuting) case of this algebra. A closely related algebra to the braid algebra is introduced and it is shown that the generalized oscillator system given by this algebra generates a hydrogen-like spectrum. | |
| dc.format.extent | 30 cm. | |
| dc.format.pages | vii, 70 leaves; | |
| dc.identifier.other | PHYS 1993 Y56 | |
| dc.identifier.uri | https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13703 | |
| dc.publisher | Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 1993. | |
| dc.subject.lcsh | Gauge fields (Physics) | |
| dc.subject.lcsh | Quantum groups. | |
| dc.subject.lcsh | Group theory. | |
| dc.title | Gauge theories based on quantum groups, representations of the braid group |
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