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Higher loop renormalization of a supersymmetric field theory
(Elsevier Science, 2007-07)
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 ...
Renormalization: The observable-state model
(American Physical Society, 2012-06)
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 ...
Ultraviolet cutoffs for quantum fields in cosmological spacetimes
(American Physical Society, 2015-06)
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 ...
Renyi relative entropies and renormalization group flows
(Springer, 2018-09)
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 ...
Adiabatic renormalization in theories with modified dispersion relations
(IOP Publishing, 2007-12)
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 ...
Wilson-Fisher fixed points for any dimension
(American Physical Society, 2019-12)
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 ...
Renormalization: The observable-state model. II
(American Physical Society, 2012-07)
The purpose of this work is to rewrite the generating functional of 4 theory for the n=0 and n=4 correlation functions as the inner product of a state with an observable, as we did in a previous work, for the two-points ...
Numerical methods for nanoscopic systems based on density matrix renormalization
(American Scientific Publishers, 2008-12)
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 ...
Aspects of renormalization in finite-density field theory
(American Physical Society, 2015-05-15)
We study the renormalization of the Fermi surface coupled to a massless boson near three spatial dimensions. For this, we set up a Wilsonian RG with independent decimation procedures for bosons and fermions, where the ...
Renormalization on noncommutative torus
(Springer, 2016-04)
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 ...