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Entropy and Its Discontents: A Note on Definitions
The routine definitions of Shannon entropy for both discrete and continuous probability laws show inconsistencies that make them not reciprocally coherent.
Nicola Cufaro Petroni
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Towards a Unitary, Renormalizable, and Ultraviolet-Complete Quantum Theory of Gravity
For any fundamental quantum field theory, unitarity, renormalizability, and relativistic invariance are considered to be essential properties.
Christian F. Steinwachs
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Renormalization scheme dependence and renormalization group summation [PDF]
We consider logarithmic contributions to the free energy, instanton effective action, and Laplace sum rules in QCD that are a consequence of radiative corrections. Upon summing these contributions by using the renormalization group, all dependence on the renormalization scale parameter μ cancels.
Farrukh Chishtie+2 more
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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems [PDF]
This article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states and projected entangled pair states.
F. Verstraete, V. Murg, J. Cirac
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Rays to renormalizations [PDF]
Let P be a non-linear polynomial, K_P the filled Julia set of P, f a renormalization of P and K_f the filled Julia set of f. We show, loosely speaking, that there is a finite-to-one function from the set of P-external rays having limit points in K_f onto the set of f-external rays to K_f such that R and (R) share the same limit set.
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Exact Renormalization Groups As a Form of Entropic Dynamics
The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom, such as, for example, in quantum field theory and critical phenomena.
Pedro Pessoa, Ariel Caticha
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Coarse Graining Spin Foam Quantum Gravity—A Review
In quantum gravity, we envision renormalization as the key tool for bridging the gap between microscopic models and observable scales. For spin foam quantum gravity, which is defined on a discretization akin to lattice gauge theories, the goal is to ...
Sebastian Steinhaus
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Renormalization of Group Field Theories for Quantum Gravity: New Computations and Some Suggestions
We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area.
Marco Finocchiaro+2 more
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Renormalization of mixing angles [PDF]
A bstractWe discuss the renormalization of mixing angles for theories with extended scalar sectors. Motivated by shortcomings of existing schemes for mixing angles, we review existing renormalization schemes and introduce new ones based on on-shell ...
A. Denner, S. Dittmaier, J. Lang
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High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks [PDF]
We determine the non-perturbatively renormalized axial current for $$\hbox {O}(a)$$O(a) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger functional and can be generalized to other finite (ratios of ...
Mattia Dalla Brida+3 more
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