منابع مشابه
Quantum group gauge theory on quantum spaces
We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles quantum differential coming from the 3-D calculus of Woronowicz on SUq(2) . The construction is presented within the setting of a general theory of quantum principal bundles with quantum group (Hopf algebra) fiber, associated quantum vector...
متن کاملQuantum Gauge Theory of Gravity
The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge field. In leading order approximation, it gives out classical Newton’s theory of gravity. It can also give out Einstein’s field equation with cosmological constant. For classical tests, it gives o...
متن کاملGauge Theory of Quantum Gravity
A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group SL(2, C), while linearly realizing them on SU (2). Einstein's SL(2, C) invariant theory of gravity emerges at low energies, since the extra degrees of freedom associated with the quadratic curvature and the internal met...
متن کاملQuantum Group Gauge Theory on Classical Spaces
We study the quantum group gauge theory developed elsewhere in the limit when the base space (spacetime) is a classical space rather than a general quantum space. We show that this limit of the theory for gauge quantum group Uq(g) is isomorphic to usual gauge theory with Lie algebra g. Thus a new kind of gauge theory is not obtained in this way, although we do find some differences in the coupl...
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The quantum gravity is formulated based on gauge principle. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge potential. A preliminary study on gravitational gauge group is presented. Path integral quantization of the theory is discussed in the paper. A strict proof on the renormalizability of the theory is also given. In le...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2020
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.125.267601