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We continue our earlier study of the phase structure of a SU(2) gauge theory whose action contains additional chirally invariant four fermion interactions. Our lattice theory uses a reduced staggered fermion formalism to generate two Dirac…

High Energy Physics - Lattice · Physics 2015-06-15 Simon Catterall , Aarti Veernala

We discuss the possibility of extracting phase shifts from finite volume energies for meson-meson scattering, where the mesons are fermion-antifermion bound states of the massive Schwinger model with SU(2) flavour symmetry. The existence of…

High Energy Physics - Lattice · Physics 2016-09-01 C. Gutsfeld , H. A. Kastrup , K. Stergios , J. Westphalen

The Thirring model in 2+1 spacetime dimensions, in which $N$ flavors of relativistic fermion interact via a contact interaction between conserved fermion currents, is studied using lattice field theory simulations employing domain wall…

High Energy Physics - Lattice · Physics 2019-02-20 Simon Hands

A phase transition into the condensed state of fermions hybridized with immobile bosons is examined beyond the ordinary mean-field approximation (MFA) in two and three dimensions. The hybridization interaction does not provide the Cooper…

Strongly Correlated Electrons · Physics 2015-06-24 A. S. Alexandrov

We investigate a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical $Z_2$ gauge field. The gauge field mediates long-range attraction between fermions resulting in their confinement into…

Strongly Correlated Electrons · Physics 2020-03-31 Umberto Borla , Ruben Verresen , Fabian Grusdt , Sergej Moroz

In this contribution we lay down a lattice setup that allows for the non-perturbative study of a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field…

A mean field analysis of finite density QCD is presented including the effects of additional chiral invariant four-fermion interactions. A lattice regularization is used with N_f=4 flavors of staggered fermions. The use of the four-fermion…

High Energy Physics - Lattice · Physics 2016-09-01 Michael Chavel

We derive exact results for a model of strongly-interacting spinless fermions hopping on a two-dimensional lattice. By exploiting supersymmetry, we find the number and type of ground states exactly. Exploring various lattices and limits, we…

Strongly Correlated Electrons · Physics 2009-11-11 Paul Fendley , Kareljan Schoutens

We study a single exactly massless staggered fermion in the fundamental representation of an $SU(2)$ gauge group. We utilize an nHYP-smeared fermion action supplemented with additional heavy Pauli-Villars fields which serve to decrease…

High Energy Physics - Lattice · Physics 2024-12-20 Nouman Butt , Simon Catterall , Anna Hasenfratz

We study a microscopic model for four spinless fermions on the square lattice which exhibits a quartet bound state in the strong coupling regime. The four-particle quantum states are analyzed using symmetry arguments and by introducing a…

Strongly Correlated Electrons · Physics 2023-11-29 Dionys Baeriswyl , Francesco Petocchi , Philipp Werner

We present a non-perturbative lattice study of SU(4) gauge theory with two flavors of fermions in the fundamental representation and two in the two-index antisymmetric representation: a theory closely related to a minimal…

High Energy Physics - Lattice · Physics 2019-09-10 Guido Cossu , Luigi Del Debbio , Marco Panero , David Preti

$SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions are considered at high quark chemical potential $\mu$ and any temperature $T$. In the strong coupling regime (sufficiently small $\beta$) they have been…

High Energy Physics - Lattice · Physics 2015-11-13 E. T. Tomboulis

We analyze the dynamics of an $SU_L(2)\otimes U_R(1)$ chiral theory on the lattice with a strong multifermion coupling. It is shown that no spontaneous symmetry breaking occurs; the ``spectator'' fermion $\psi_R$ is a free mode; doublers…

High Energy Physics - Lattice · Physics 2009-10-28 She-Sheng Xue

We study thermodynamics of strongly coupled lattice QCD with two colors of massless staggered fermions as a function of the baryon chemical potential $\mu$ in 3+1 dimensions using a new cluster algorithm. We find evidence that the model…

High Energy Physics - Lattice · Physics 2009-11-11 Shailesh Chandrasekharan , Fu-Jiun Jiang

We consider a nonlocal lattice action for fermions fermion doubling in lattice theories. It is shown, that it is possible to avoid the fermionic doubling in the case of free fermions, but this approach does not reproduce results for the…

High Energy Physics - Lattice · Physics 2009-09-25 V. M. Belyaev

We present a numerical study of the massive two-flavor QED in two dimensions with the gauge action proposed by L\"uscher, which allows only ``admissible'' gauge fields. We find that the admissibility condition does not allow any topology…

High Energy Physics - Lattice · Physics 2009-11-10 Hidenori Fukaya , Tetsuya Onogi

We introduce a lattice fermion-Higgs model with one component `reduced staggered' fermions. In order to use the fermion field as efficiently as possible we couple the two {\em staggered} flavors to the O(4) Higgs field leading to a model…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

We explore the phase structure of a four dimensional $SO(4)$ invariant lattice Higgs-Yukawa model comprising four reduced staggered fermions interacting with a real scalar field. The fermions belong to the fundamental representation of the…

High Energy Physics - Lattice · Physics 2019-01-02 Nouman Butt , Simon Catterall , David Schaich

We study a quantum phase transition of electrons on a two-dimensional square lattice. Our lattice model preserves the full $\mathrm{O}(4)$ symmetry of free spin-$\frac{1}{2}$ Dirac fermions on a bipartite lattice. In particular, it not only…

High Energy Physics - Lattice · Physics 2021-11-04 Hanqing Liu

SU(2) gauge theory with Nf=24 massless fermions is non-interacting at long distances, i.e. it has an infrared fixed point at vanishing coupling. With massive fermions the fermions are expected to decouple at energy scales below the fermion…

High Energy Physics - Lattice · Physics 2022-09-26 Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen