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Based on the Schwinger-Dyson (SD) equation, the fermion mass generation is further studied in the D(2<D<4)-dimensional Thirring model as a gauge theory previously proposed. By using a certain approximation to the kernel, we analytically…

High Energy Physics - Theory · Physics 2009-10-30 M. Sugiura

We construct a solution to the equation of motion of Hamiltonian lattice QCD in the strong coupling limit using Wilson fermions which exactly diagonalizes the Hamiltonian to second order in the field operators. This solution obeys the free…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yasuo Umino

Fermion mass generation in the strongly coupled U(1) lattice gauge theory with fermion and scalar fields of equal charge is investigated by means of numerical simulation with dynamical fermions. Chiral symmetry of this model is broken by…

High Energy Physics - Lattice · Physics 2009-10-30 W. Franzki , J. Jersak

First results from simulations of improved actions for both gauge fields and staggered fermion fields in three dimensional QCD are presented. This work provides insight into some issues of relevance to lattice theories in four dimensions.…

High Energy Physics - Lattice · Physics 2011-07-19 Howard D. Trottier

We describe a proposal for constructing a lattice theory that we argue may be capable of yielding free Weyl fermions in the continuum limit. The model employs reduced staggered fermions and uses site parity dependent Yukawa interactions of…

High Energy Physics - Lattice · Physics 2021-07-14 Simon Catterall

We study QCD in 2 dimensions using the improved lattice fermionic Hamiltonian proposed by Luo, Chen, Xu and Jiang. The vector mass and the chiral condensate are computed for various $SU(N_C)$ gauge groups. We do observe considerable…

High Energy Physics - Lattice · Physics 2009-10-31 Xiang-Qian Luo , J. Jiang , S. Guo , J. Li , J. Liu , Z. Mei , H. Jirari , H. Kroger , C. M. Wu

I report on first results of the ETMC obtained simulating lattice QCD with two degenerate flavours of Wilson twisted mass fermions, for which physical observables are automatically O(a) improved. Recent improvements of the HMC algorithm…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Shindler , ETM Collaboration

We study the phase structure and the chiral limit of $4d$ compact lattice QED with Wilson fermions (both dynamical and quenched). We use the standard Wilson gauge action and also a modified one suppressing lattice artifacts. Different…

High Energy Physics - Lattice · Physics 2009-10-22 A. Hoferichter , V. K. Mitrjushkin , M. Müller-Preussker , T. Neuhaus , H. Stüben

Naively, helicity flip amplitudes for fermions seem to vanish in the chiral limit of light-front QCD, which would make it nearly impossible to generate a small pion mass in this framework. Using a simple model, it is illustrated how a large…

High Energy Physics - Theory · Physics 2016-08-25 Matthias Burkardt

We investigate the real-time dynamics of U(1) and SU(N) gauge theories coupled to fermions on a lattice. While real-time lattice gauge theory is not amenable to standard importance sampling techniques, for a large class of time-dependent…

High Energy Physics - Phenomenology · Physics 2014-08-12 Valentin Kasper , Florian Hebenstreit , Jürgen Berges

We carry out a comprehensive analysis of the Landau-Khalatnikov-Fradkin transformations for a charged fermion propagator at the two-loop level in quantum electrodynamics (QED). Starting with an arbitrary covariant gauge $\xi$ and space-time…

High Energy Physics - Phenomenology · Physics 2025-02-07 Anam Ashraf , M. Jamil Aslam , Faisal Akram , Adnan Bashir

The strongly coupled lattice gauge models show an interesting mechanism of dynamical mass generation. If a suitable continuum limit can be found, one may think of it as an alternative to the Higgs mechanism. We present data on the spectrum,…

High Energy Physics - Lattice · Physics 2016-08-31 Wolfgang Franzki , Xiang-Qian Luo

The QCD light quark mass renormalized at a 1 GeV scale in the $ \overline{MS} $ scheme is obtained from the numerical results of the lattice QCD simulation with staggered fermions. The primary emphasis is given to the connection between the…

High Energy Physics - Lattice · Physics 2009-10-22 Weonjong Lee

Quantum simulation offers a powerful approach to studying quantum field theories, particularly (2+1)D quantum electrodynamics (QED$_3$) with Wilson fermions, which hosts a rich landscape of physical phenomena. A key challenge in lattice…

High Energy Physics - Lattice · Physics 2026-03-06 Sriram Bharadwaj , Emil Rosanowski , Simran Singh , Alice di Tucci , Changnan Peng , Karl Jansen , Lena Funcke , Di Luo

We give details of our precise determination of the light quark masses m_{ud}=(m_u+m_d)/2 and m_s in 2+1 flavor QCD, with simulated pion masses down to 120 MeV, at five lattice spacings, and in large volumes. The details concern the action…

High Energy Physics - Lattice · Physics 2015-05-20 S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , T. Kurth , L. Lellouch , T. Lippert , K. K. Szabo , G. Vulvert

We present and compare new types of algorithms for lattice QCD with staggered fermions in the limit of infinite gauge coupling. These algorithms are formulated on a discrete spatial lattice but with continuous Euclidean time. They make use…

High Energy Physics - Lattice · Physics 2012-12-03 Wolfgang Unger , Philippe de Forcrand

We study quantum electrodynamics in a (2+1)-dimensional space-time with two flavors of dynamical fermions by numerical simulations on the lattice. We discretize the theory using both the compact and the noncompact formulations and analyze…

High Energy Physics - Lattice · Physics 2014-11-17 R. Fiore , P. Giudice , D. Giuliano , D. Marmottini , A. Papa , P. Sodano

Using lattice simulations we demonstrate from first principles the existence of a non-perturbative mechanism for elementary particle mass generation in models with gauge fields, fermions and scalars, if an exact invariance forbids power…

Based on a recent proposal according to which elementary particle masses could be generated by a non-perturbative dynamical phenomenon, alternative to the Higgs mechanism, we carry out lattice simulations of a model where a non-abelian…

We introduce a strongly interacting lattice field theory model containing two flavors of massless staggered fermions with two kinds of interactions: (1) a lattice current-current interaction, and (2) an on-site four-fermion interaction. At…

High Energy Physics - Lattice · Physics 2021-12-01 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina Krstic Marinkovic