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We analyse - within the hamiltonian formalism with staggered fermions - the patterns of chiral symmetry breaking for the strongly coupled Schwinger and $U({\cal N}_c)$-color `t Hooft models with one and two flavor of fermions. Using the…

High Energy Physics - Lattice · Physics 2007-05-23 F. Berruto , G. Grignani , P. Sodano

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk…

High Energy Physics - Theory · Physics 2023-11-22 Mohamed M. Anber , Nakarin Lohitsiri , Tin Sulejmanpasic

We formulate a model of N_f=4 flavors of relativistic fermion in 2+1d in the presence of a chemical potential mu coupled to two flavor doublets with opposite sign, akin to isopsin chemical potential in QCD. This is argued to be an effective…

High Energy Physics - Lattice · Physics 2013-05-15 Wes Armour , Simon Hands , Costas Strouthos

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

We study $2d$ QCD coupled to fermions in the adjoint representation of the gauge group $SU(N)$ at large $N$, and its relation to string theory. It is shown that the model undergoes a deconfinement transition at a finite temperature…

High Energy Physics - Theory · Physics 2009-10-22 David Kutasov

We perform lattice studies of meson mass spectra and decay constants of the $Sp(4)$ gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter field content, transforming in the 2-index antisymmetric…

I present a calculation of the topological susceptibility $\chi_T$ in $SU(N_c)$ gauge theory with $N_c=3-5$ colors and $N_f=2$ degenerate flavors of fermions. The results lie on a common curve when expressed in terms of the combination $N_c…

High Energy Physics - Lattice · Physics 2020-07-01 Thomas DeGrand

The Lattice Strong Dynamics collaboration is investigating the properties of a SU(3) gauge theory with $N_f = 8$ light fermions on the lattice. We measure the masses of the lightest pseudoscalar, scalar and vector states using simulations…

High Energy Physics - Lattice · Physics 2019-08-13 Enrico Rinaldi

We simulate $ SU(2) $ lattice gauge theory using dynamical reduced staggered fermions. The latter lead to two rather than four Dirac fermions in the continuum limit. We review the derivation and properties of reduced staggered fermions and…

High Energy Physics - Lattice · Physics 2019-01-23 Simon Catterall , Nouman Butt

We report the findings of our extensive study of the spectra of flavoured mesons in lattice gauge theories with symplectic gauge group and fermion matter content treated in the quenched approximation. For the $Sp(4)$, $Sp(6)$, and $Sp(8)$…

High Energy Physics - Lattice · Physics 2024-04-17 Ed Bennett , Jack Holligan , Deog Ki Hong , Jong-Wan Lee , C. -J. David Lin , Biagio Lucini , Maurizio Piai , Davide Vadacchino

Thanks to the development in quantum Monte Carlo technique, the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the ground state phase diagram as a…

Strongly Correlated Electrons · Physics 2019-08-21 Wei Wang , Da-Chuan Lu , Xiao Yan Xu , Yi-Zhuang You , Zi Yang Meng

The interplay between lattice gauge theories and fermionic matter accounts for fundamental physical phenomena ranging from the deconfinement of quarks in particle physics to quantum spin liquid with fractionalized anyons and emergent gauge…

Strongly Correlated Electrons · Physics 2019-05-06 Xiao Yan Xu , Yang Qi , Long Zhang , Fakher F. Assaad , Cenke Xu , Zi Yang Meng

We introduce a Hamiltonian lattice model for the $(1+1)$-dimensional $\text{SU}(N_c)$ gauge theory coupled to one adjoint Majorana fermion of mass $m$. The discretization of the continuum theory uses staggered Majorana fermions. We analyze…

High Energy Physics - Theory · Physics 2024-05-02 Ross Dempsey , Igor R. Klebanov , Silviu S. Pufu , Benjamin T. Søgaard

We present the investigation of the strong bare-coupling regime of SU(2) lattice gauge theory with 8 fermion flavors in the fundamental representation. The simulations are performed with unimproved staggered fermions and the plaquette gauge…

High Energy Physics - Lattice · Physics 2014-12-18 Cynthia Y. -H. Huang , C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Enrico Rinaldi

Staggered fermions with 4 tastes are expected to describe 4-flavor QCD in the continuum limit, therefore at finite lattice spacing the staggered determinant should be equivalent to an SU(4) flavor-symmetric system up to lattice artifacts.…

High Energy Physics - Lattice · Physics 2007-05-23 Anna Hasenfratz

SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential $\mu$ and temperature $T$ and the results are compared to the predictions of Effective Lagrangians. Simulations on $16^4$ lattices indicate…

High Energy Physics - Lattice · Physics 2009-11-07 John B. Kogut , Dominique Toublan , D. K. Sinclair

We study $SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions in the presence of quark chemical potential $\mu$. A recent exact result that in the strong coupling limit (vanishing inverse gauge coupling…

High Energy Physics - Theory · Physics 2015-07-06 E. T. Tomboulis

We present a lattice simulation study of large $N_c$ regularities of meson and baryon spectroscopy in $SU(N_c)$ gauge theory with two flavors of dynamical fundamental representation fermions. Systems investigated include $N_c=2$, 3, 4, and…

High Energy Physics - Lattice · Physics 2017-01-04 Thomas DeGrand , Yuzhi Liu

Large N gauge theories with adjoint matter can be numerically studied using lattice techniques. Eguchi-Kawai reductions holds for this theory and one can reduce the lattice model to a single site. Hybrid Monte Carlo algorithm can be used to…

High Energy Physics - Lattice · Physics 2015-03-19 R. Narayanan

Using Wilson fermions, we study SU(2) lattice QCD with the chemical potential at $\beta=1.6$. The ratio of fermion determinants is evaluated at each Metropolis link update step. We calculate the baryon number density, the Polyakov loops and…

High Energy Physics - Lattice · Physics 2009-10-31 S. Muroya , A. Nakamura , C. Nonaka