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Renormalization factors relate the observables obtained on the lattice to their measured counterparts in the continuum in a suitable renormalization scheme. They have to be computed very precisely which requires a careful treatment of…

High Energy Physics - Lattice · Physics 2013-10-25 M. Constantinou , M. Costa , M. Gockeler , R. Horsley , H. Panagopoulos , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We investigate the inversion of perturbation series and its resummation, and prove that it is related to a recently developed parametric perturbation theory. Results for some illustrative examples show that in some cases series reversion…

Mathematical Physics · Physics 2009-11-13 Paolo Amore , Francisco M. Fernandez

We present matching factors for $Z_q$ calculated perturbatively at the one-loop level with improved staggered quarks. We calculate $Z_q$ with HYP-smeared staggered quarks and Symanzik-improved gluons using both RI-MOM and RI$'$-MOM schemes.…

High Energy Physics - Lattice · Physics 2024-12-11 Benjamin J. Choi , Weonjong Lee , Jangho Kim , Sungwoo Park , Stephen R. Sharpe

A class of covariant gauges allowing one to interpolate between the Landau, the maximal Abelian, the linear covariant and the Curci-Ferrari gauges is discussed. Multiplicative renormalizability is proven to all orders by means of algebraic…

High Energy Physics - Theory · Physics 2009-11-11 D. Dudal , J. A. Gracey , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella , R. Thibes , H. Verschelde

We compute the renormalized trajectory of $\phi^4_4$-theory by perturbation theory in a running coupling. We use an exact infinitesimal renormalization group. The expansion is put into a form which is manifestly independent of the scale…

High Energy Physics - Theory · Physics 2008-02-03 Christian Wieczerkowski

We discuss the perturbative expansion of several one-loop improved renormalisation group equations. It is shown that in general the integrated renormalisation group flows fail to reproduce perturbation theory beyond one loop.

High Energy Physics - Theory · Physics 2009-11-07 Daniel F. Litim , Jan M. Pawlowski

Recently evidence has been found that the perturbative QCD potential agrees well with phenomenological potentials and lattice computations of the QCD potential. We review the present status of the perturbative QCD potential and theoretical…

High Energy Physics - Phenomenology · Physics 2017-08-23 Y. Sumino

We calculate the 1-loop renormalization of the fermion self-energy, all local fermion bilinears, as well as a set of extended bilinears which form a basis corresponding to moments of the parton distribution functions. We use the overlap…

High Energy Physics - Lattice · Physics 2009-11-11 M. Ioannou , H. Panagopoulos

We present a novel way to compute the one-loop ring-improved effective potential numerically, which avoids the spurious appearence of complex expressions and at the same time is free from the renormalization ambiguities of the…

High Energy Physics - Theory · Physics 2015-06-26 G. Palma , L. Vergara

The problem of renormalization of the semiclassical one-loop equations used in the non-equilibrium field theory is considered. Recently, the renormalizability of such equations has been justified for some special cases of classical field…

High Energy Physics - Theory · Physics 2008-11-26 O. Yu. Shvedov

Using lattice overlap fermions, we have computed the 1-loop renormalization factors of several operators that measure DIS structure functions and weak amplitudes. Computer codes written in the algebraic manipulation language FORM have been…

High Energy Physics - Lattice · Physics 2007-05-23 Stefano Capitani

We demonstrate the effectiveness of a generalized renormalized perturbational approach to calculate the induced magnetization for the single impurity Anderson model with a strong on-site interaction, using flow equations for renormalized…

Strongly Correlated Electrons · Physics 2013-04-30 K. Edwards , A. C. Hewson , V. Pandis

We consider perturbations of positive recurrent Markov modulated fluid models. In addition to the infinitesimal generator of the phases, we also perturb the rate matrix, and analyze the effect of those perturbations on the matrix of first…

Probability · Mathematics 2017-02-09 Sarah Dendievel , Guy Latouche

The parameters of a 3+1 anisotropic quark action with Symanzik-improved glue are determined at 1-loop in perturbation theory.

High Energy Physics - Lattice · Physics 2008-11-26 Justin Foley , Mike Peardon , Sinead M. Ryan

We introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $\beta \mapsto \set{\alpha+\beta}$, $\alpha \in \R\setminus \Q$. In…

Dynamical Systems · Mathematics 2007-08-02 Claudio Bonanno , Stefano Isola

We compute the renormalized trajectory of $\phi^4_4$-theory by perturbation theory in a running coupling. We introduce an iterative scheme without reference to a bare action. The expansion is proved to be finite to every order of…

High Energy Physics - Theory · Physics 2009-10-30 Christian Wieczerkowski

We calculate the 1-loop renormalization of a set of extended fermionic bilinears which form a basis corresponding to moments of the parton distribution functions. We use the overlap action for fermions and Luescher-Weisz (LW) action for…

High Energy Physics - Lattice · Physics 2007-05-23 M. Ioannou , H. Panagopoulos

We calculate one-loop renormalization factors of bilinear operators made of physical quark fields for domain-wall QCD. We find that finite parts of such renormalization factors have reasonable values at 1-loop except an overlap factor…

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

We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory at one loop, and renormalize the theory by an appropriate definition of the counterterms. We show that the quenched chiral logarithms can be…

High Energy Physics - Lattice · Physics 2009-10-30 Gilberto Colangelo , Elisabetta Pallante

Perturbative corrections to N=1/2 supersymmetric U(N) gauge theory at one-loop order are studied. It is shown that whereas the quantum corrections to N=1 sector of the theory are not affected by the C-deformation, the non(anti)commutativity…

High Energy Physics - Theory · Physics 2010-04-05 Mohsen Alishahiha , Ahmad Ghodsi , Neda Sadooghi
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