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SU(N) symmetric fermions on a lattice, which can be realized in ultracold-atom-based quantum simulators, have very promising prospects for realizing exotic states of matter. Here we present the ground state phase diagram of the repulsive…

Strongly Correlated Electrons · Physics 2019-07-31 Sangwoo S. Chung , Philippe Corboz

We present a non-perturbative study of the lambda phi**4 model on a non-commutative plane. The lattice regularised form can be mapped onto a Hermitian matrix model, which enables Monte Carlo simulations. Numerical data reveal the phase…

High Energy Physics - Lattice · Physics 2014-10-16 Héctor Mejía-Díaz , Wolfgang Bietenholz , Marco Panero

We review the correspondence between strongly coupled lattice multiflavor Schwinger models and SU(N) antiferromagnetic chains. We show that finding the low lying states of the gauge models is equivalent to solving an SU(N) Heisenberg…

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

Lattice simulations have observed a novel strong coupling symmetric mass generation (SMG) phase for the SU(3) gauge system with $N_f=8$ fundamental fermions (represented by two sets of staggered fields) at very large renormalized coupling…

High Energy Physics - Lattice · Physics 2024-12-16 Anna Hasenfratz , Oliver Witzel

The phase diagram of massless quantum electrodynamics in three space-time dimensions as a function of fermion flavor number $N$ exhibits two well-known phases: at large $N > N_c^{conf}$ the system is in a conformal gapless state, while for…

High Energy Physics - Theory · Physics 2016-11-16 Lukas Janssen

We present results of a lattice field theory simulation of the 2+1$d$ Thirring model with $N=1$ fermion flavors, using domain wall fermions. The model exhibits a U(2) symmetry-breaking phase transition with the potential to define a…

High Energy Physics - Lattice · Physics 2025-05-07 Simon Hands , Jude Worthy

A new dynamical symmetry breaking model of electroweak interactions is proposed based on interacting fermions. Two fermions of different SU_{L}(2) representations form a symmetry breaking condensate and generate the lepton and quark masses.…

High Energy Physics - Phenomenology · Physics 2009-01-07 G. Cynolter , E. Lendvai , G. Pocsik

We present the phase structure of the chiral SU(2)xSU(2) scalar-fermion model on the lattice using the Zaragoza proposal for chiral fermions. The numerical result agrees with an analytic study based on the use of weak and strong Yukawa…

High Energy Physics - Lattice · Physics 2010-03-19 J. L. Alonso , F. Lesmes , E. Rivas , Ph. Boucaud

Using 4 flavors of staggered fermions at infinite gauge coupling, we compare various analytic results for the hadron spectrum with exact Monte Carlo simulations. Agreement with Ref. \cite{Martin_etal} is very good, at the level of a few…

High Energy Physics - Lattice · Physics 2008-11-26 Philippe de Forcrand , Seyong Kim

In the Hamiltonian picture, free spin-$1/2$ Dirac fermions on a bipartite lattice have an $O(4)$ (spin-charge) symmetry. Here we construct an interacting lattice model with an interaction $V$, which is similar to the Hubbard interaction but…

High Energy Physics - Lattice · Physics 2022-09-21 Emilie Huffman

The color-flavor transformation, an identity that connects two integrals, each of which is over one of a dual pair of Lie groups acting in the fermionic Fock space, is extended to the case of the special unitary group. Using this extension,…

High Energy Physics - Lattice · Physics 2015-06-25 J. Budczies , S. Nonnenmacher , Ya. Shnir , M. R. Zirnbauer

We consider chiral $U(N)\times U(N)$ models with fermions in the limit of infinitely large local bare Yukawa coupling. When the scalar field is subject to non-linear constraint, phase transitions in these models are seen to be identical to…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Yu. Khlebnikov , R. G. Schnathorst

Cold atom experiments can now realize mixtures where different components move in different spatial dimensions. We investigate a fermion mixture where one species is constrained to move along a one-dimensional lattice embedded in a…

Quantum Gases · Physics 2020-07-15 Junichi Okamoto , Wen-Min Huang , Kyle Irwin , David K. Campbell , Shan-Wen Tsai

We study strong-coupling lattice QCD with staggered-Wilson fermions, with emphasis on discrete symmetries and possibility of their spontaneous breaking. We perform hopping parameter expansion and effective potential analyses in the…

High Energy Physics - Lattice · Physics 2012-08-09 Tatsuhiro Misumi , Takashi Z. Nakano , Taro Kimura , Akira Ohnishi

The problem of meson bound states with $N_f$ massive fermions in two dimensional quantum electrodynamics is discussed. We speculate about the spectrum of the lightest particles by means of the effective semiclassical description. In…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Sadzikowski , P. Wegrzyn

We report on the results of numerical simulations of $SU(N)$ lattice Yang Mills with two flavors of (light) Wilson fermion in the adjoint representation. We analytically and numerically address the question of center symmetry realization on…

High Energy Physics - Lattice · Physics 2014-11-21 Simon Catterall , Richard Galvez , Mithat Unsal

We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schrodinger functional scheme. Our lattice action is defined with hypercubic smeared links which,…

High Energy Physics - Lattice · Physics 2014-11-21 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We study superconducting lattice fermions coupled to classical gauge fields. Namely, without the gauge fields, the lattice fermions show superconducting long-range order. In the previous paper, the existence of the long-range order was…

Mathematical Physics · Physics 2022-05-03 Tohru Koma

The phase structure of lattice QCD with two flavors and Wilson fermions is studied analytically. At $\beta=0$ we obtain rigorous lower and upper bounds for the critical hopping parameter $k_c(0)$ from a convergent hopping parameter…

High Energy Physics - Lattice · Physics 2009-09-25 A. Galli

A study of spinless matter fermions coupled to a constrained $\mathbb{Z}_{2}$ lattice gauge theory on a triangular ladder is presented. The triangular unit cell and the ladder geometry strongly modify the physics, as compared to previous…

Strongly Correlated Electrons · Physics 2022-06-22 Wolfram Brenig