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Related papers: Strongly Coupled Lattice Gauge Theories and Antife…

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We study the strongly coupled 2-flavor lattice Schwinger model and the SU(2)-color QCD_2. The strong coupling limit, even with its inherent nonuniversality, makes accurate predictions of the spectrum of the continuum models and provides an…

High Energy Physics - Lattice · Physics 2015-06-25 F. Berruto , E. Coletti , G. Grignani , P. Sodano

We study the strong coupling limit of the 2-flavor massless Schwinger model on a lattice using staggered fermions and the Hamiltonian approach to lattice gauge theories. Using the correspondence between the low-lying states of the 2-flavor…

High Energy Physics - Theory · Physics 2009-10-31 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

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

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 the strong coupling limit of the 2-flavor lattice Schwinger model in the Hamiltonian formalism using staggered fermions. We show that the problem of finding the low-lying states is equivalent to solving the Heisenberg…

High Energy Physics - Theory · Physics 2009-10-31 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

We revisit the strong coupling limit of the Schwinger model on the lattice using staggered fermions and the hamiltonian approach to lattice gauge theories. Although staggered fermions have no continuous chiral symmetry, they posses a…

High Energy Physics - Lattice · Physics 2016-08-25 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

We study a model of strongly correlated spinless fermions on a kagome lattice at 1/3 filling, with interactions described by an extended Hubbard Hamiltonian. An effective Hamiltonian in the desired strong correlation regime is derived, from…

Strongly Correlated Electrons · Physics 2015-05-18 Aroon O'Brien , Frank Pollmann , Peter Fulde

Lattice gauge theories are a powerful language to theoretically describe a variety of strongly correlated systems, including frustrated magnets, high-$T_c$ superconductors, and topological phases. However, in many cases gauge fields couple…

Strongly Correlated Electrons · Physics 2017-11-07 Christian Prosko , Shu-Ping Lee , Joseph Maciejko

It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues…

High Energy Physics - Lattice · Physics 2009-10-30 C. J. Hamer , Zheng Weihong , J. Oitmaa

Two dimensional large-N chiral models on the square and honeycomb lattices are investigated by a strong coupling analysis. Strong coupling expansion turns out to be predictive for the evaluation of continuum physical quantities, to the…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , P. Rossi , E. Vicari

We employ exact diagonalization with strong coupling expansion to the massless and massive Schwinger model. New results are presented for the ground state energy and scalar mass gap in the massless model, which improve the precision to…

High Energy Physics - Lattice · Physics 2014-10-30 Marcin Szyniszewski , Krzysztof Cichy , Agnieszka Kujawa-Cichy

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

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

We study an extended spin-$1/2$ antiferromagnetic Heisenberg model on the triangular lattice, which includes both nearest- and next-nearest-neighbor interactions, as well as a scalar chiral term. This model exhibits a rich phase diagram…

Strongly Correlated Electrons · Physics 2025-08-26 Markus Drescher , Laurens Vanderstraeten , Roderich Moessner , Frank Pollmann

We propose a strong coupling expansion as a possible tool to obtain qualitative and quantitative informations about N=1 SYM theory. We point out the existence of a mapping between strongly coupled lattice N=1 SYM theory and a generalized…

High Energy Physics - Lattice · Physics 2009-11-07 F. Berruto , M. Schwetz

We study the strong coupling limit of the one-flavor and two-flavor massless 't Hooft models, $large-{\cal N}_c$-color $QCD_2$, on a lattice. We use staggered fermions and the Hamiltonian approach to lattice gauge theories. We show that the…

High Energy Physics - Lattice · Physics 2009-10-31 F. Berruto , G. Grignani , P. Sodano

The properties of antiferromagnetic Heisenberg $S=\frac{1}{2}$ ladders with 2, 3, and 4 chains are expanded in the ratio of the intra- and interchain coupling constants. A simple mapping procedure is introduced to relate the 4 and 2-chain…

Condensed Matter · Physics 2009-10-22 M. Reigrotzki , H. Tsunetsugu , T. M. Rice

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 paper we shall study a gauge theory of nodal spinons which appears as a low-energy effective theory for antiferromagnetic (AF) Heisenberg models. In most of studies on the nodal spinons given so far, the gauge interaction between…

Strongly Correlated Electrons · Physics 2010-11-05 Ikuo Ichinose

Two dimensional $N=\infty$ lattice chiral models are investigate by a strong coupling analysis. Strong coupling expansion turns out to be predictive for the evaluation of continuum physical quantities, to the point of showing asymptotic…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , P. Rossi , E. Vicari

Dynamical chiral symmetry breaking in a strongly coupled U(1) lattice gauge model with charged fermions and scalar is investigated by numerical simulation. Several composite neutral states are observed, in particular a massive fermion. In…

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