منابع مشابه
Perturbative Bf–yang–mills Theory on Noncommutative R
A U(1) BF–Yang–Mills theory on noncommutative R4 is presented and in this formulation the U(1) Yang–Mills theory on noncommutative R4 is seen as a deformation of the pure BF theory. Quantization using BRST symmetry formalism is discussed and Feynman rules are given. Computations at one–loop order have been performed and their renormalization studied. It is shown that the U(1) BFYM on noncommuta...
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An alternative approach to introducing gravitational dynamics on a brane embedded in a higher dimensional spacetime is presented. The brane is treated as a boundary of a higher dimensional manifold in which the bulk action is described by a metric independent topological quantum field theory. The example of a five dimensional non-Abelian BF theory with a boundary brane is considered. A natural ...
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Three different methods to quantize the spherically symmetric sector of electromagnetism are presented: First, it is shown that this sector is equivalent to Abelian BF -theory in four spacetime dimensions with suitable boundary conditions. This theory, in turn, is quantized by both a reduced phase space quantization and a spin network quantization. Finally, the outcome is compared with the resu...
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We present a worldline description of topological non-abelian BF theory in arbitrary space-time dimensions. It is shown that starting with a trivial classical action defined on the worldline, the BRST cohomology has a natural representation as the sum of the de Rham cohomology. Based on this observation, we construct a second-quantized action of the BF theory. Interestingly enough, this theory ...
متن کاملA Deformation of Three Dimensional BF Theory
We consider a deformation of three dimensional BF theory by means of the antifield BRST formalism. Possible deformations for the action and the gauge symmetries are analyzed. We find a new class of gauge theories which include nonabelian BF theory, higher dimensional nonlinear gauge theory and topological membrane theory. ∗ E-mail address: [email protected] Present Address: Yukawa Inst...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2020
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2020.114987