Academic literature on the topic 'Renormalization Group, QFT, Weyl-invariance, Quantum Gravity'

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Journal articles on the topic "Renormalization Group, QFT, Weyl-invariance, Quantum Gravity"

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Jizba, Petr, Lesław Rachwał, Stefano G. Giaccari, and Jaroslav Kňap. "Dark Side of Weyl Gravity." Universe 6, no. 8 (2020): 123. http://dx.doi.org/10.3390/universe6080123.

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We address the issue of a dynamical breakdown of scale invariance in quantum Weyl gravity together with related cosmological implications. In the first part, we build on our previous work [Phys. Rev. D2020, 101, 044050], where we found a non-trivial renormalization group fixed point in the infrared sector of quantum Weyl gravity. Here, we prove that the ensuing non-Gaussian IR fixed point is renormalization scheme independent. This confirms the feasibility of the analog of asymptotic safety scenario for quantum Weyl gravity in the IR. Some features, including non-analyticity and a lack of auto
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KOSLOWSKI, TIM A. "SHAPE DYNAMICS AND EFFECTIVE FIELD THEORY." International Journal of Modern Physics A 28, no. 13 (2013): 1330017. http://dx.doi.org/10.1142/s0217751x13300172.

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Shape dynamics is a gauge theory based on spatial diffeomorphism- and Weyl-invariance which is locally indistinguishable from classical general relativity. If taken seriously, it suggests that the space–time geometry picture that underlies general relativity can be replaced by a picture based on spatial conformal geometry. This classically well-understood trading of gauge symmetries opens new conceptual avenues in many approaches to quantum gravity. This paper focusses on the general implications for quantum gravity and effective field theory and considers the application of the shape dynamics
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Herrero-Valea, Mario, and Raquel Santos-Garcia. "Non-minimal tinges of Unimodular Gravity." Journal of High Energy Physics 2020, no. 9 (2020). http://dx.doi.org/10.1007/jhep09(2020)041.

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Abstract Unimodular Gravity is normally assumed to be equivalent to General Relativity for all matters but the character of the Cosmological Constant. Here we discuss this equivalence in the presence of a non-minimally coupled scalar field. We show that when we consider gravitation to be dynamical in a QFT sense, quantum corrections can distinguish both theories if the non-minimal coupling is non-vanishing. In order to show this, we construct a path integral formulation of Unimodular Gravity, fixing the complicated gauge invariance of the theory and computing all one-loop divergences. We find
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Yan, Ziqi. "Strings in bimetric spacetimes." Journal of High Energy Physics 2021, no. 9 (2021). http://dx.doi.org/10.1007/jhep09(2021)164.

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Abstract We put forward a two-dimensional nonlinear sigma model that couples (bosonic) matter fields to topological Hořava gravity on a nonrelativistic worldsheet. In the target space, this sigma model describes classical strings propagating in a curved spacetime background, whose geometry is described by two distinct metric fields. We evaluate the renormalization group flows of this sigma model on a flat worldsheet and derive a set of beta-functionals for the bimetric fields. Imposing worldsheet Weyl invariance at the quantum level, we uncover a set of gravitational field equations that dicta
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Dissertations / Theses on the topic "Renormalization Group, QFT, Weyl-invariance, Quantum Gravity"

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D'Odorico, Giulio. "Applications of the Functional Renormalization Group: From Statistical Models to Quantum Gravity." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4815.

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The present dissertation is essentially a collection of three investigations, in the context of the functional Renormalization Group. First, we will apply it to scalar models with internal O(N) symmetry, to study their universality classes and how the Mermin-Wagner theorem is seen in the RG framework. Next, we will use it to study Weyl-invariant systems, and in particular to obtain a nonperturbative proof that a quantization procedure respecting Weyl invariance is always possible, regardless of the field content of the theory. Finally, to investigate the corrections to the gravitational beta
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