The Critical Mass of Wilson Fermions: A Comparison of Perturbative and Monte Carlo Results
نویسندگان
چکیده
We calculate the critical value of the hopping parameter, κc, in Lattice QCD with Wilson fermions, to two loops in perturbation theory. This quantity is an additive renormalization; as such, it is characterized not only by the standard caveats regarding the asymptotic nature of perturbative results, but also by a linear divergence in the lattice spacing. Consequently, our calculation tests rather stringently the limits of applicability of perturbation theory. We compare our results to non perturbative evaluations of κc coming from Monte Carlo simulations. Finally, we apply a tadpole improvement technique on our results; this shifts them quite favourably towards the non perturbative values.
منابع مشابه
The Critical Hopping Parameter in O(a) improved Lattice QCD
We calculate the critical value of the hopping parameter, κc, in O(a) improved Lattice QCD, to two loops in perturbation theory. We employ the Sheikholeslami-Wohlert (clover) improved action for Wilson fermions. The quantity which we study is a typical case of a vacuum expectation value resulting in an additive renormalization; as such, it is characterized by a power (linear) divergence in the ...
متن کاملThe low-lying mass spectrum of the N=1 SU(2) SUSY Yang-Mills theory with Wilson fermions
We analyze the low energy spectrum of bound states of the N=1 SU(2) SUSY Yang-Mills Theory (SYM). This work continues the investigation of the non-perturbative properties of SYM by Monte Carlo simulations in the Wilson discretization with dynamical gluinos. The dynamics of the gluinos is included by the Two-Step Multi-Bosonic Algorithm (TSMB) for dynamical fermions. A new set of configurations ...
متن کاملPerturbative expansions from Monte Carlo simulations at weak coupling: Wilson loops and the static-quark self-energy
Perturbative coefficients for Wilson loops and the static-quark self-energy are extracted from Monte Carlo simulations at weak coupling. The lattice volumes and couplings are chosen to ensure that the lattice momenta are all perturbative. Twisted boundary conditions are used to eliminate the effects of lattice zero modes and to suppress nonperturbative finite-volume effects due to Z(3) phases. ...
متن کاملMass Attenuation Coefficients of Human Body Organs using MCNPX Monte Carlo Code
Introduction: Investigation of radiation interaction with living organs has always been a thrust area in medical and radiation physics. The investigated results are being used in medical physics for developing improved and sensitive techniques and minimizing radiation exposure. In this study, mass attenuation coefficients of different human organs and biological materials such as adipose, blood...
متن کاملAn Analytic Study of the Phase Structure of Lattice QCD with Wilson Fermions at Infinitely Strong Coupling
The phase structure of lattice QCD with two flavors and Wilson fermions is studied analytically. At β = 0 we obtain rigorous lower and upper bounds for the critical hopping parameter kc(0) from a convergent hopping parameter expansion to infinite order. The result supports the value kc(0) = 1 4 observed in Monte Carlo simulations.
متن کامل