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We present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of…

High Energy Physics - Lattice · Physics 2009-10-28 Geoffrey T. Bodwin

This paper presents a formulation of lattice fermions applicable to all quark masses, large and small. We incorporate interactions from previous light-fermion and heavy-fermion methods, and thus ensure a smooth connection to these limiting…

High Energy Physics - Lattice · Physics 2008-11-26 Aida X. El-Khadra , Andreas S. Kronfeld , Paul B. Mackenzie

Gauge theories with fermions in adjoint and fundamental representations are relevant for many different applications including composite Higgs models and general aspects of the confinement problem. We present first results from simulations…

High Energy Physics - Lattice · Physics 2021-12-01 Georg Bergner , Stefano Piemonte

Discretisation errors in two-flavour lattice QCD with Wilson-quarks and DBW2 gauge action are investigated by comparing numerical simulation data at two values of the bare gauge coupling. Both non-zero and zero twisted mass values are…

High Energy Physics - Lattice · Physics 2009-01-07 F. Farchioni , P. Hofmann , K. Jansen , I. Montvay , G. Muenster , E. E. Scholz , L. Scorzato , A. Shindler , N. Ukita , C. Urbach , U. Wenger , I. Wetzorke

We report our recent studies on the finite density QCD obtained from lattice QCD simulation with clover-improved Wilson fermions of two flavor and RG-improved gauge action. We approach the subject from two paths, i.e., the imaginary and…

High Energy Physics - Lattice · Physics 2011-09-05 Atsushi Nakamura , Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Takuya Saito

We calculate the 3-loop perturbative expansion of the average plaquette in lattice QCD with N_f massive Wilson fermions and gauge group SU(N). The corrections to asymptotic scaling in the corresponding energy scheme are also evaluated. We…

High Energy Physics - Lattice · Physics 2009-10-31 B. Alles , A. Feo , H. Panagopoulos

We study a systematic improvement of perturbation theory for gauge fields on the lattice; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method, originally proposed…

High Energy Physics - Lattice · Physics 2009-11-11 M. Constantinou , H. Panagopoulos , A. Skouroupathis

A modified Wilson action which suppresses plaquettes which take negative values is used to study the scaling behavior of the string tension. The use of the $\b_E$ scheme gives good agreement with asymptotic two loop results.

High Energy Physics - Lattice · Physics 2009-10-22 J. Ambjorn , G. Thorleifsson

In our earlier work arXiv:2311.09334, we introduced a lattice Hamiltonian for Adjoint QCD$_2$ using staggered Majorana fermions. We found the gauge invariant space of states explicitly for the gauge group $\text{SU}(2)$ and used them for…

High Energy Physics - Theory · Physics 2025-04-17 Ross Dempsey , Silviu S. Pufu , Benjamin T. Søgaard , Igor R. Klebanov

QCD thermodynamics is considered using Wilson fermions in the fixed scale approach. The temperature dependence of the renormalized chiral condensate, quark number susceptibility and Polyakov loop is measured at four lattice spacings…

High Energy Physics - Lattice · Physics 2015-06-05 S. Borsanyi , S. Durr , Z. Fodor , C. Hoelbling , S. D. Katz , S. Krieg , D. Nogradi , B. C. Toth , N. Trombitas , K. K. Szabo

We report scale setting and hadronic properties for our new lattice QCD gauge configuration set (HAL-conf-2023). We employ $(2+1)$-flavor nonperturbatively improved Wilson fermions with stout smearing and the Iwasaki gauge action on a…

High Energy Physics - Lattice · Physics 2024-11-12 Tatsumi Aoyama , Takahiro M. Doi , Takumi Doi , Etsuko Itou , Yan Lyu , Kotaro Murakami , Takuya Sugiura

We consider 2-dimensional QCD on a cylinder, where space is a circle. We find the ground state of the system in case of massless quarks in a $1/N$ expansion. We find that coupling to fermions nontrivially modifies the large $N$ saddle point…

High Energy Physics - Theory · Physics 2016-09-06 Avinash Dhar , Gautam Mandal , Spenta R. Wadia

Three-flavor QCD simulation with the $O(a)$-improved Wilson fermion action is made employing an exact fermion algorithm developed for odd number of quark flavors. For the plaquette gauge action, an unexpected first-order phase transition is…

We report on the status of our simulations of two-colour QCD with two flavours of Wilson quarks, at nonzero chemical potential and diquark source. Preliminary results are presented for the static quark potential, gluon propagator, and meson…

High Energy Physics - Lattice · Physics 2008-11-26 Jon-Ivar Skullerud , Shinji Ejiri , Simon Hands , Luigi Scorzato

We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger…

High Energy Physics - Lattice · Physics 2016-05-27 Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

We give a determination of the phenomenological value of the Wilson (or gradient) flow scales t0 and w0 for 2+1 flavours of dynamical quarks. The simulations are performed keeping the average quark mass constant, which allows the approach…

High Energy Physics - Lattice · Physics 2015-08-25 V. G. Bornyakov , R. Horsley , R. Hudspith , Y. Nakamura , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , H. Stüben , J. M. Zanotti

We show how the leading physical and Wilson low-energy constants associated with Wilson fermions in lattice gauge theory can be determined individually by using spectral information of the Wilson Dirac operator with fixed index at finite…

High Energy Physics - Lattice · Physics 2013-05-30 P. H. Damgaard , U. M. Heller , K. Splittorff

We consider the leading-order expression at weak-coupling for a single-site large-N gauge theory coupled to adjoint fermions. We study the case of overlap and wilson fermions. We extend the theory to real values of the number of fermion…

High Energy Physics - Lattice · Physics 2013-06-26 Robert Lohmayer , Rajamani Narayanan

We present a perturbative calculation of the improvement coefficients of SU(2) gauge theory with adjoint representation Wilson-clover fermions and using Schrodinger functional boundary conditions. The computation of the boundary improvement…

High Energy Physics - Lattice · Physics 2011-05-10 Tuomas Karavirta , Anne-Mari Mykkanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

I extend to QCD an efficient method for lattice gauge theory with dynamical fermions. Once the eigenvalues of the Dirac operator and the density of states of pure gluonic configurations at a set of plaquette energies (proportional to the…

High Energy Physics - Lattice · Physics 2009-11-07 Xiang-Qian Luo