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Renormalization factors for three- and four-quark operators, which appear in the low energy effective Lagrangian of the proton decay and the weak interactions, are perturbatively calculated in domain-wall QCD. We find that the operators are…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

We develop a renormalization group for weak Harris-marginal disorder in otherwise strongly interacting quantum critical theories, focusing on systems which have emergent conformal invariance. Using conformal perturbation theory, we argue…

High Energy Physics - Theory · Physics 2022-03-30 Koushik Ganesan , Andrew Lucas , Leo Radzihovsky

We calculate lattice renormalisation constants of local and one-link quark operators for overlap fermions and improved gauge actions in one-loop perturbation theory. For the local operators we stout smear the SU(3) links in the fermionic…

High Energy Physics - Lattice · Physics 2011-04-11 R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We apply the renormalized perturbation theory (RPT) to the symmetric Anderson impurity model. Within the RPT framework exact results for physical observables such as the spin and charge susceptibility can be obtained in terms of the…

Strongly Correlated Electrons · Physics 2015-06-19 Vassilis Pandis

We calculate perturbative renormalization properties of the topological charge, using the standard lattice discretization given by a product of twisted plaquettes. We use the overlap and clover action for fermions, and the Symanzik improved…

High Energy Physics - Lattice · Physics 2007-05-23 A. Skouroupathis , H. Panagopoulos

We focus on functional renormalization for ensembles of several (say $n\geq 1$) random matrices, whose potentials include multi-traces, to wit, the probability measure contains factors of the form $ \exp[-\mathrm{Tr}(V_1)\times\ldots\times…

Mathematical Physics · Physics 2022-06-16 Carlos I. Perez-Sanchez

We discuss perturbative solutions of renormalization group equations, and propose the use of resummation scale techniques in assessing theoretical uncertainties on the extraction of parton distribution functions from data.

High Energy Physics - Phenomenology · Physics 2022-06-01 V. Bertone , G. Bozzi , F. Hautmann

We study Poissonian ensembles of Markov loops and the associated renormalized self-intersection local times.

Probability · Mathematics 2008-07-31 Yves Le Jan

We classify the unitary, renormalizable, Lorentz violating quantum field theories of interacting scalars and fermions, obtained improving the behavior of Feynman diagrams by means of higher space derivatives. Higher time derivatives are not…

High Energy Physics - Theory · Physics 2008-11-26 Damiano Anselmi , Milenko Halat

A complete characterization of the asymptotic singularity probability of random circulant Bernoulli matrices is given for all values of the probability parameter.

Combinatorics · Mathematics 2024-11-27 Niklas Miller

A continuous-time random walk in the quarter plane with homogeneous transition rates is considered. Given a non-negative reward function on the state space, we are interested in the expected stationary performance. Since a direct derivation…

Probability · Mathematics 2017-08-31 Xinwei Bai , Jasper Goseling

We consider an inverse boundary value problem for a model time-harmonic equation of acoustic tomography of moving fluid with variable current velocity, sound speed, density and absorption. In the present article it is assumed that at fixed…

Analysis of PDEs · Mathematics 2017-02-14 Alexey Agaltsov

At finite temperature and in non-equilibrium environments we have to resum perturbation theory to avoid infrared divergences. Since resummation shuffles the perturbative orders, renormalizability is a nontrivial issue. In this paper we…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Jakovac

We stress the potential usefulness of renormalization group invariants. Especially particular combinations thereof could for instance be used as probes into patterns of supersymmetry breaking in the MSSM at inaccessibly high energies. We…

High Energy Physics - Phenomenology · Physics 2015-09-11 Wim Beenakker , Tom van Daal , Ronald Kleiss , Rob Verheyen

In part I general aspects of the renormalization of a spontaneously broken gauge theory have been introduced. Here, in part II, two-loop renormalization is introduced and discussed within the context of the minimal Standard Model.…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , G. Passarino

Given a non-contracting trajectory of a nonlinear system, we consider the question of designing an input perturbation that makes the perturbed trajectory contracting. This paper stresses the analogy of this question with the classical…

Systems and Control · Electrical Eng. & Systems 2022-09-12 Jin Gyu Lee , Thiago B. Burghi , Rodolphe Sepulchre

We compute the hierarchical $\phi^4$-trajectory in terms of perturbation theory in a running coupling. In the three dimensional case we resolve a singularity due to resonance of power counting factors in terms of logarithms of the running…

High Energy Physics - Lattice · Physics 2008-02-03 J. Rolf , C. Wieczerkowski

We evaluate renormalization factors of the domain-wall fermion system with various improved gauge actions at one loop level. The renormalization factors are calculated for quark wave function, quark mass, bilinear quark operators, three-…

High Energy Physics - Lattice · Physics 2009-11-07 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

In this paper, we study the inverse problem for a class of abstract ultraparabolic equations which is well-known to be ill-posed. We employ some elementary results of semi-group theory to present the formula of solution, then show the…

Analysis of PDEs · Mathematics 2015-12-10 Vo Anh Khoa , Le Trong Lan , Nguyen Huy Tuan , Tran The Hung

We consider the inverse problem of reconstructing inhomogeneities by performing a finite number of scattering measurements of acoustic type in the time-harmonic setting. We set up the reconstruction as a fully discrete variational problem…

Analysis of PDEs · Mathematics 2026-02-24 Daniela Di Donato , Luca Rondi