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Related papers: Two-loop critical mass for Wilson fermions

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We present results of a lattice simulation of quantum chromodynamics with two degenerate flavors of dynamic Wilson fermions at $6/g^2=5.3$ at each of two dynamical fermion hopping parameters, $\kappa=0.1670$ and 0.1675, corresponding to…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar

We describe the calculation of the two--loop massive operator matrix elements with massive external fermions in QED. We investigate the factorization of the $O(\alpha^2)$ initial state corrections to $e^+e^-$ annihilation into a virtual…

High Energy Physics - Phenomenology · Physics 2011-11-29 J. Blümlein , A. De Freitas , W. L. van Neerven

We investigate the continuum limit scaling of the scalar condensate in the $N_f=2$ Schwinger model on the lattice. We employ maximally twisted mass Wilson fermions and overlap fermions. We compute the scalar condensate by taking the trace…

High Energy Physics - Lattice · Physics 2009-07-30 Kei-ichi Nagai , Nils Christian , Karl Jansen , Beatrix Pollakowski

Quantum chromodynamics (QCD) at sufficiently high density is expected to undergo a chiral phase transition. Understanding such a transition is of particular importance for neutron star or quark star physics. In Lagrangian SU(3) lattice…

High Energy Physics - Lattice · Physics 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

We study the correction to the radiative $\pi^0$ decay width due to finite light quark mass. Using lattice QCD with the overlap fermion formulation, we calculate the three-point function of the form $<PV_\mu V_\nu>$ in the (Euclidean)…

High Energy Physics - Lattice · Physics 2011-04-05 E. Shintani , S. Aoki , S. Hashimoto , T. Onogi , N. Yamada

We address the perturbative renormalization of massive lattice fermions. We derive expressions-valid to all orders in perturbation theory and for all values of the bare fermion mass-for the rest mass, the kinetic mass, and the wave-function…

High Energy Physics - Lattice · Physics 2010-11-19 Bartholomeus P. G. Mertens , Andreas S. Kronfeld , Aida X. El-Khadra

We study the critical behavior of lattice Quantum Chromodynamics (QCD) in the strong coupling approximation with Kogut-Susskind and Wilson fermions at finite temperature ($T$) and zero chemical potential. Using the Hamiltonian formulation…

High Energy Physics - Lattice · Physics 2010-11-05 Yasuo Umino

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field…

High Energy Physics - Lattice · Physics 2009-11-07 B. Joo , I. Horvath , K. F. Liu

We show that maximally twisted mass fermions can be employed to regularize on the lattice the fully unquenched QCD+QED theory with vanishing $\theta$-term. We discuss how the critical mass of the up and down quarks can be conveniently…

High Energy Physics - Lattice · Physics 2016-12-08 Roberto Frezzotti , Giancarlo Rossi , Nazario Tantalo

We study the large-N volume reduction of QCD with adjoint quarks regularized on the lattice. Specifically, we use Wilson fermions, and while our d-dimensional lattice has (d-1) infinite dimensions, the remaining direction is reduced to a…

High Energy Physics - Lattice · Physics 2009-07-24 Barak Bringoltz

Wilson Fermions with untwisted and twisted mass are widely used in lattice simulations. Therefore one important question is whether the twist angle and the lattice spacing affect the phase diagram. We briefly report on the study of the…

High Energy Physics - Lattice · Physics 2015-04-17 M. Kieburg , K. Splittorff , J. J. M. Verbaarschot , S. Zafeiropoulos

We consider a lattice regularization, preserving Ward Identities (WI) and with a Wilson term, of the Massive QED$_2$, describing a fermion with mass $m$ and charge $\mathsf{e}$ interacting with a vector field with mass $M$, in the regime…

Mathematical Physics · Physics 2026-02-05 Simone Fabbri , Vieri Mastropietro , Bruno Renzi

We describe an efficient position space technique to calculate lattice Feynman integrals in infinite volume. The method applies to diagrams with massless propagators. For illustration a set of two-loop integrals is worked out explicitly. An…

High Energy Physics - Lattice · Physics 2016-08-31 Martin Luescher , Peter Weisz

The running of renormalized quark masses is computed in lattice QCD with two flavors of massless O(a) improved Wilson quarks. The regularization and flavor independent factor that relates running quark masses to the renormalization group…

High Energy Physics - Lattice · Physics 2009-11-11 Michele Della Morte , Roland Hoffmann , Francesco Knechtli , Juri Rolf , Rainer Sommer , Ines Wetzorke , Ulli Wolff

We study the phase structure of imaginary chemical potential. We calculate the Polyakov loop using clover-improved Wilson action and renormalization improved gauge action. We obtain a two-state signals indicating the first order phase…

High Energy Physics - Lattice · Physics 2010-11-05 Keitaro Nagata , Atsushi Nakamura , Yoshiyuki Nakagawa , Shinji Motoki , Takuya Saito , Masatoshi Hamada

We show at the example of the matrix element between pion states of a twist-2, non-singlet operator that Wilson twisted mass fermions allow to compute this phenomenologically relevant quantitiy at small pseudo scalar masses of O(270 MeV).…

High Energy Physics - Lattice · Physics 2007-05-23 S. Capitani , K. Jansen , M. Papinutto , A. Shindler , I. Wetzorke , C. Urbach

Higher-order corrections to the MSSM Higgs-boson masses are desirable for accurate predictions currently testable at the LHC. By comparing the prediction with the measured value of the discovered Higgs signal, viable parameter regions can…

High Energy Physics - Phenomenology · Physics 2020-12-11 Sophia Borowka , Sebastian Paßehr , Georg Weiglein

We present the calculation of heavy Wilson quark mass renormalization constants from large beta Monte Carlo simulations. Simulations were performed at various beta larger than 9, each on several spatial lattice sizes to allow for an…

High Energy Physics - Lattice · Physics 2009-10-31 K. J. Juge

It is possible to improve the chiral behaviour and the approach to the continuum limit of correlation functions in lattice QCD with standard and twisted Wilson fermions by taking arithmetic averages of correlators computed in theories…

High Energy Physics - Lattice · Physics 2009-11-10 R. Frezzotti , G. C. Rossi

By carrying out a systematic expansion of Feynman integrals in the lattice spacing, we show that the axial anomaly in the U(1) lattice gauge theory with Wilson fermions, as determined in one-loop order from an irrelevant lattice operator in…

High Energy Physics - Lattice · Physics 2009-10-31 H. J. Rothe , Neda Sadooghi