Using Dyson-Schwinger equations within an approach developed by Broadhurst and Kreimer and the renormalization group, we show how high loop order of the renormalization group coefficients can be efficiently computed in a ...

Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the fidelity. We study these measures for renormalization group flows in ...

We generalize the adiabatic renormalization to theories with dispersion relations modified at energies higher than a new scale MC. We obtain explicit expressions for the mean value of the stress tensor in the adiabatic ...

The usual mathematical formalism of quantum field theory is not rigorous because it contains divergences that can only be renormalized by nonrigorous mathematical methods. So we present a method of subtraction of divergences ...

In this work, a reinitialization procedure oriented to regularize the level set (LS) function field is presented. In LS approximations for two-fluid flow simulations, a scalar function indicates the presence of one or ...

The critical behavior of a nonlocal scalar field theory is studied. This theory has a nonlocal quartic interaction term which involves a power-β of the Laplacian. The power-β is tuned so as to make that interaction marginal ...

We analyze critically the renormalization of quantum fields in cosmological spacetimes, using noncovariant ultraviolet cutoffs. We compute explicitly the counterterms necessary to renormalize the semiclassical Einstein ...

We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated with the operation of increment of summands and rescaling. ...

We study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops ...

The Density Matrix Renormalization Group (DMRG) has become a powerful numerical method that can be applied to nanoscopic and low-dimensional strongly correlated fermionic and bosonic systems. It allows for a very precise ...