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An antiferromagnetic S=1/2 Heisenberg chain is mapped to the two-flavor massless Schwinger model at \theta=\pi. The electromagnetic coupling constant and velocity of light in the Schwinger model are determined in terms of the Heisenberg…

High Energy Physics - Theory · Physics 2009-10-31 Yutaka Hosotani

We consider the (2+1)-dimensional massive Thirring model as a gauge theory, with one fermion flavor, in the framework of the causal perturbation theory and address the problem of dynamical mass generation for the gauge boson. In this…

High Energy Physics - Theory · Physics 2011-09-13 L. A. Manzoni , B. M. Pimentel , J. L. Tomazelli

We numerically study the single-flavor Schwinger model with a topological $\theta$-term, which is practically inaccessible by standard lattice Monte Carlo simulations due to the sign problem. By using numerical methods based on tensor…

High Energy Physics - Lattice · Physics 2020-03-25 Lena Funcke , Karl Jansen , Stefan Kühn

We investigate the flavour structure of generic extensions of the SM where quark and lepton mass hierarchies and the suppression of flavour-changing transitions originate only by the normalization constants of the fermion kinetic terms. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sacha Davidson , Gino Isidori , Selma Uhlig

We consider the 2+1 dimensional massive Thirring model with one flavor at finite density. Two numerical methods, fermion bag approach and complex Langevin dynamics, are used to calculate the chiral condensate and fermion density of this…

High Energy Physics - Lattice · Physics 2016-12-07 Daming Li

At small lattice spacing QCD simulations are expected to become stuck in a single topological sector. Observables evaluated in a fixed topological sector differ from their counterparts in full QCD, i.e. at unfixed topology, by volume…

High Energy Physics - Lattice · Physics 2016-01-19 Christopher Czaban , Marc Wagner

We show that quantum effects can stabilize a soliton in a model with no soliton at the classical level. The model has a scalar field chirally coupled to a fermion in 1+1 dimensions. We use a formalism that allows us to calculate the exact…

High Energy Physics - Theory · Physics 2009-10-31 E. Farhi , N. Graham , R. L. Jaffe , H. Weigel

The gap equation for fermions in a version of thermal QED in three dimensions is studied numerically in the Schwinger-Dyson formalism. The interest in this theory has been recently revived since it has been proposed as a model of…

High Energy Physics - Phenomenology · Physics 2009-09-25 George Triantaphyllou

We present a Hamiltonian formulation of the Schwinger model on the circle in Coulomb gauge as a semi-bounded self-adjoint operator which is invariant under the modular group ${\cal M}=\Z$ of large gauge transformations. There is a…

Mathematical Physics · Physics 2012-06-19 David M. A. Stuart

Simulations of lattice gauge theories with tensor networks and quantum computing have so far mainly focused on staggered fermions. In this paper, we use matrix product states to study Wilson fermions in the Hamiltonian formulation and…

High Energy Physics - Lattice · Physics 2023-10-19 Takis Angelides , Lena Funcke , Karl Jansen , Stefan Kühn

The Sommerfield model with a massive vector field coupled to a massless fermion in 1+1 dimensions is an exactly solvable analog of a Bank-Zaks model. The `physics' of the model comprises a massive boson and an unparticle sector that…

High Energy Physics - Theory · Physics 2020-01-08 Howard Georgi

The observed hierarchy of fermion masses and mixings may be generated by renormalization group flow if the Standard Model is coupled to a near-conformal sector at high energies. If the conformal sector is supersymmetric, these effects are…

High Energy Physics - Phenomenology · Physics 2010-07-14 Nathaniel Craig

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 consider a system of fermions with mass m and model repulsive interaction U(q) = g/\sqrt{q^2 + q_0^2}, where q is the momentum transfer, q_0 the screening constant, and g > 0 the coupling constant. It is shown that at g > g_cr > 3\pi^2/m…

Strongly Correlated Electrons · Physics 2007-05-23 Yu. G. Pogorelov , V. R. Shaginyan

The renormalized contribution of fermions to the curvature masses of vector and axial-vector mesons is derived with two different methods at leading order in the loop expansion applied to the (2+1)-flavor constituent quark-meson model. The…

High Energy Physics - Phenomenology · Physics 2021-09-22 Győző Kovács , Péter Kovács , Zsolt Szép

We study the scalar condensate and the topological susceptibility for a continuous range of quark masses in the Schwinger model with $N_f=0,1,2$ dynamical flavors, using both the overlap and the staggered discretization. At finite lattice…

High Energy Physics - Lattice · Physics 2008-11-26 Stephan Dürr , Christian Hoelbling

We use two-flavor chiral perturbation theory to describe hyperons. We focus on the strangeness conserving sector, and, as an example, calculate hyperon masses. Convergence of this two-flavor chiral expansion for observables is improved over…

Nuclear Theory · Physics 2008-11-26 Brian C. Tiburzi , Andre Walker-Loud

Self-polarizing weak decays of $\Lambda$-hyperons provide unique insight into the role of entanglement in the fragmentation of QCD strings through measurements of the spin correlations of $\Lambda{\bar \Lambda}$-pairs produced in collider…

High Energy Physics - Phenomenology · Physics 2024-02-27 João Barata , Wenjie Gong , Raju Venugopalan

The Standard Model has some intrinsic beauty in the sector of fermions and gauge bosons. Its scalar sector, though minimal, is however haunted by the hierarchy problem. The fermionic spectrum also have two major problems, the flavor problem…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. C. W. Kong

Recent results suggest that flow-based algorithms may provide efficient sampling of field distributions for lattice field theory applications, such as studies of quantum chromodynamics and the Schwinger model. In this work, we provide a…

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