- #2,101
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http://arxiv.org/abs/1312.7273
On How Neutrino Protects the Axion
Gia Dvali, Sarah Folkerts, Andre Franca
(Submitted on 27 Dec 2013)
We show how the neutrino can sacrifice itself to quantum gravity and save the axion solution to the strong-CP problem. This mechanism puts an upper bound on the lightest neutrino mass.
9 pages
[my comment on the paper's significance is to quote its conclusion section]
==excerpt==
In this work we have put forward yet another example of the highly profound connection between particle physics and non-perturbative quantum gravity. The main players in this connection are the axion and the neutrino.
Quantum gravity is believed to violate global symmetries, and among other things, ruin the axion solution of the strong-CP problem. ...By identifying the source of the danger, we were able to see the possible protection mechanism against it. This mechanism is built-in in the Standard Model in form of light neutrinos. ...This mechanism gives a phenomenological bound on the neutrino mass. The precise measurement of this mass would reveal a bound on non-perturbative gravity scale.
==endquote==
in case anyone is following GFT and Rivasseau's tensor track program:
http://arxiv.org/abs/1312.7226
The Multiscale Loop Vertex Expansion
Razvan Gurau, Vincent Rivasseau
(Submitted on 27 Dec 2013)
The loop vertex expansion (LVE) is a constructive technique which uses only canonical combinatorial tools and no space-time dependent lattices. It works for quantum field theories without renormalization. Renormalization requires scale analysis. In this paper we provide an enlarged formalism which we call the multiscale loop vertex expansion (MLVE). We test it on what is probably the simplest quantum field theory which requires some kind of renormalization, namely a combinatorial model of the vector type with quartic interaction and a propagator which mimicks the power counting of ϕ42. An ordinary LVE would fail to treat even this simplest superrenormalizable model, but we show how to perform the ultraviolet limit and prove its analyticity in the Borel summability domain of the model with the MLVE.
20 pages
On How Neutrino Protects the Axion
Gia Dvali, Sarah Folkerts, Andre Franca
(Submitted on 27 Dec 2013)
We show how the neutrino can sacrifice itself to quantum gravity and save the axion solution to the strong-CP problem. This mechanism puts an upper bound on the lightest neutrino mass.
9 pages
[my comment on the paper's significance is to quote its conclusion section]
==excerpt==
In this work we have put forward yet another example of the highly profound connection between particle physics and non-perturbative quantum gravity. The main players in this connection are the axion and the neutrino.
Quantum gravity is believed to violate global symmetries, and among other things, ruin the axion solution of the strong-CP problem. ...By identifying the source of the danger, we were able to see the possible protection mechanism against it. This mechanism is built-in in the Standard Model in form of light neutrinos. ...This mechanism gives a phenomenological bound on the neutrino mass. The precise measurement of this mass would reveal a bound on non-perturbative gravity scale.
==endquote==
in case anyone is following GFT and Rivasseau's tensor track program:
http://arxiv.org/abs/1312.7226
The Multiscale Loop Vertex Expansion
Razvan Gurau, Vincent Rivasseau
(Submitted on 27 Dec 2013)
The loop vertex expansion (LVE) is a constructive technique which uses only canonical combinatorial tools and no space-time dependent lattices. It works for quantum field theories without renormalization. Renormalization requires scale analysis. In this paper we provide an enlarged formalism which we call the multiscale loop vertex expansion (MLVE). We test it on what is probably the simplest quantum field theory which requires some kind of renormalization, namely a combinatorial model of the vector type with quartic interaction and a propagator which mimicks the power counting of ϕ42. An ordinary LVE would fail to treat even this simplest superrenormalizable model, but we show how to perform the ultraviolet limit and prove its analyticity in the Borel summability domain of the model with the MLVE.
20 pages
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