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相关论文: The two flavour Schwinger model: scaling of the sc…

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We present numerical results for the 2-flavour Schwinger model with dynamical chiral lattice fermions. We insert an approximately chiral hypercube Dirac operator into the overlap formula to construct the overlap hypercube operator. This is…

高能物理 - 格点 · 物理学 2012-04-26 Wolfgang Bietenholz , Ivan Hip , Stanislav Shcheredin , Jan Volkholz

We introduce the \emph{flavoured lattice Schwinger model}, a $(1{+}1)$-dimensional $U(1)$ lattice gauge theory in which the fermion doubling problem is resolved by staggering a $\mathbb{Z}_{2}$ flavour degree of freedom rather than…

高能物理 - 格点 · 物理学 2026-04-21 Dogukan Bakircioglu

After briefly reviewing the potential for the $N$-flavor Thirring model, formulated with reducible fermions in 2+1$d$, to exhibit a strongly-coupled UV-stable fixed point where U($2N$) symmetry is spontaneously broken by a fermion bilinear…

高能物理 - 格点 · 物理学 2023-11-27 Simon Hands , Jude Worthy

We have studied pseudoscalar correlation functions computed using the overlap operator. Within the accuracy of our calculation we find that the quark mass dependence agrees with the prediction of lowest-order Chiral Perturbation Theory…

高能物理 - 格点 · 物理学 2015-06-25 Pilar Hernandez , Karl Jansen , Laurent Lellouch , Hartmut Wittig

We investigate the leading lattice spacing effects in mesonic two-point correlators computed with twisted mass Wilson fermions in the epsilon-regime. By generalizing the procedure already introduced for the untwisted Wilson chiral effective…

高能物理 - 格点 · 物理学 2014-11-20 O. Bar , S. Necco , A. Shindler

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…

高能物理 - 格点 · 物理学 2023-10-19 Takis Angelides , Lena Funcke , Karl Jansen , Stefan Kühn

We apply the spectral projector method, recently introduced by Giusti and L\"uscher, to compute the chiral condensate using $N_f=2$ and $N_f=2+1+1$ dynamical flavors of maximally twisted mass fermions. We present our results for several…

高能物理 - 格点 · 物理学 2013-12-13 Krzysztof Cichy , Elena Garcia-Ramos , Karl Jansen , Andrea Shindler

We consider the Schwinger model with two degenerate, light fermion flavors by means of lattice simulations. At finite temperature, we probe the viability of a bosonization method by Hosotani et al. Next we explore an analogue to the pion…

高能物理 - 格点 · 物理学 2022-03-10 Jaime Fabián Nieto Castellanos , Wolfgang Bietenholz , Ivan Hip

Lattice computations in the Hamiltonian formulation have so far mainly focused on staggered fermions. In these proceedings, we study Wilson fermions in the Hamiltonian formulation and propose a new method to determine the resulting mass…

高能物理 - 格点 · 物理学 2023-10-19 Takis Angelides , Lena Funcke , Karl Jansen , Stefan Kühn

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…

高能物理 - 格点 · 物理学 2009-10-30 C. J. Hamer , Zheng Weihong , J. Oitmaa

In the continuum, the single flavor massless Schwinger model has an exact global axial $U(1)$ symmetry in the sector of perturbative gauge fields. This symmetry is explicitly broken by gauge fields with nonzero topological charge inducing a…

高能物理 - 格点 · 物理学 2016-09-01 Rajamani Narayanan , Herbert Neuberger , Pavlos Vranas

We compare overlap fermions, which are chirally invariant, and Wilson twisted mass fermions in the approach to the chiral limit. Our quenched simulations reveal that with both formulations of lattice fermions pion masses of O(250 MeV) can…

We report preliminary results for 2D massive QED with two flavours of Wilson fermions, using the Hermitean variant of L\"uscher's bosonization technique. The chiral condensate and meson masses are obtained. The simplicity of the model…

高能物理 - 格点 · 物理学 2009-10-28 Stephan Elser , Burkhard Bunk

We present data for the scaling behavior of lattice QCD with two flavors of light Wilson fermions. This is done by matching $\pi$ n and $\rho$ masses at the two lattice sizes of $16^3\times32 $ and $8^3\times16$. We find that at…

高能物理 - 格点 · 物理学 2009-10-28 K. M. Bitar , R. G. Edwards , U. M. Heller , A. D. Kennedy , P. Vranas

Formulas are derived for the coupled quadrupolar and monopolar oscillations of a fermion condensate trapped in a axially symmetric harmonic potential. We consider two-component condensates with a large particle-particle scattering length…

原子物理 · 物理学 2007-05-23 G. F. Bertsch , A. Bulgac , R. A. Broglia

We compare the behavior of overlap fermions, which are chirally invariant, and of Wilson twisted mass fermions at full twist in the approach to the chiral limit. Our quenched simulations reveal that with both formulations of lattice…

We report on first results of an ongoing effort to simulate lattice QCD with two degenerate flavours of quarks by means of the twisted mass formulation tuned to maximal twist. By utilising recent improvements of the HMC algorithm,…

高能物理 - 格点 · 物理学 2008-11-26 Karl Jansen , Carsten Urbach , ETM Collaboration

In this proceeding contribution we report on the ongoing effort to simulate Wilson-type fermions in the so called epsilon regime of chiral perturbation theory. We present results for the chiral condensate and the pseudoscalar decay constant…

高能物理 - 格点 · 物理学 2010-11-05 K. Jansen , A. Shindler

The weak coupling expansion is applied to the single flavour Schwinger model with Wilson fermions on a symmetric toroidal lattice of finite extent. We develop a new analytic method which permits the expression of the partition function as a…

高能物理 - 格点 · 物理学 2007-05-23 R. Kenna , C. Pinto , J. C. Sexton

We present the results of a mixed action approach, employing dynamical twisted mass fermions in the sea sector and overlap valence fermions, with the aim of testing the continuum limit scaling behaviour of physical quantities, taking the…

高能物理 - 格点 · 物理学 2010-05-19 Krzysztof Cichy , Gregorio Herdoiza , Karl Jansen