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相关论文: Schwinger model simulations with dynamical overlap…

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We calculate numerically the eigenvalue distribution of the overlap Dirac operator in the quenched Schwinger model on a lattice. The distribution does not fit any of the three universality classes of spontaneous chiral symmetry breaking,…

高能物理 - 格点 · 物理学 2009-11-11 Poul H. Damgaard , Urs M. Heller , Rajamani Narayanan , Benjamin Svetitsky

After a brief introduction to the overlap two examples relating to topological properties of chiral fermion systems in interaction with gauge fields are presented: It is shown how the overlap preserves the continuum structure of exact…

高能物理 - 格点 · 物理学 2017-08-23 Herbert Neuberger

We perform a comparison between different lattice regularizations of the Dirac operator for massless fermions in the framework of the single and two flavor Schwinger model. We consider a) the Wilson-Dirac operator at the critical value of…

高能物理 - 格点 · 物理学 2010-11-19 F. Farchioni , I. Hip , C. B. Lang

We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice while preserving unitarity and locality and without breaking the chiral symmetry. The fermion doubling problem is circumvented by constructing a…

高能物理 - 格点 · 物理学 2024-06-05 Jutho Haegeman , Laurens Lootens , Quinten Mortier , Alexander Stottmeister , Atsushi Ueda , Frank Verstraete

We investigate modifications of hadron masses at finite quark chemical potential in two-flavor and two-color QCD, of which the data are available from lattice simulations, within a linear sigma model based on approximate Pauli-Gursey…

高能物理 - 唯象学 · 物理学 2023-03-06 Daiki Suenaga , Kotaro Murakami , Etsuko Itou , Kei Iida

We summarize different uses of the eigenmodes of the Neuberger overlap operator for the analysis of the QCD vacuum, here applied to quenched configurations simulated by means of the Luescher-Weisz action. We describe the localization and…

高能物理 - 格点 · 物理学 2008-11-26 V. Weinberg , E. -M. Ilgenfritz , K. Koller , Y. Koma , G. Schierholz , T. Streuer

The Microcanonical Fermionic Average method has been used so far in the context of lattice models with phase transitions at finite coupling. To test its applicability to Asymptotically Free theories, we have implemented it in QED$_2$, \it…

高能物理 - 格点 · 物理学 2009-10-22 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena

The properties of the spectrum of the overlap Dirac operator and their relation to random matrix theory are studied. In particular, the predictions from chiral random matrix theory in topologically non-trivial gauge field sectors are…

高能物理 - 格点 · 物理学 2015-06-25 Robert G. Edwards , Urs M. Heller , Joe Kiskis , Rajamani Narayanan

The feasibility of using lattice chiral fermions which are free of $O(a)$ errors for both the heavy and light quarks is examined. The fact that the effective quark propagators in these fermions have the same form as that in the continuum…

高能物理 - 格点 · 物理学 2009-11-07 K. F. Liu , S. J. Dong

The vacuum overlap formalism is extended to describe the supersymmetric multiplet of a Weyl fermion, a complex scalar boson and an auxiliary field in the case without interaction, based on the fact that supersymmetry can be maintained upto…

高能物理 - 格点 · 物理学 2016-08-25 Tatsumi Aoyama , Yoshio Kikukawa

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…

高能物理 - 理论 · 物理学 2009-10-31 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

Critical slowing down for the Krylov Dirac solver presents a major obstacle to further advances in lattice field theory as it approaches the continuum solution. We propose a new multi-grid approach for chiral fermions, applicable to both…

高能物理 - 格点 · 物理学 2020-12-30 Richard C. Brower , M. A. Clark , Dean Howarth , Evan S. Weinberg

Using lattice QCD simulations with $N_f = 2$ dynamical fermions, we study the axial $U(1)$ symmetry, topological charge, and Dirac eigenvalue spectra in the high-temperature phase in which the chiral symmetry is restored. Our gauge…

高能物理 - 格点 · 物理学 2020-07-10 Kei Suzuki , Sinya Aoki , Yasumichi Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto

The action of the overlap-Dirac operator on a vector is typically implemented indirectly through a multi-shift conjugate gradient solver. The compute-time required depends upon the condition number, $\kappa$, of the matrix that is used as…

高能物理 - 格点 · 物理学 2010-03-04 W. Kamleh , D. B. Leinweber , A. G. Williams , J. B. Zhang

We propose a novel approach to the Graphene system using a local field theory of 4 dimensional QED model coupled to 2+1 dimensional Dirac fermions, whose velocity is much smaller than the speed of light. Performing hybrid Monte Carlo…

高能物理 - 格点 · 物理学 2012-06-11 E. Shintani , T. Onogi

Results from two studies of full QCD with two flavours of dynamical Wilson fermions are presented. At beta=5.6, the region 0.83 > m_pi/m_rho > 0.56 at m_pia > 0.23 L^{-1} is explored. The SESAM collaboration has generated ensembles of about…

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 compute the chiral condensate in 2+1-flavor QCD through the spectrum of low-lying eigenmodes of Dirac operator. The number of eigenvalues of the Dirac operator is evaluated using a stochastic method with an eigenvalue filtering technique…

高能物理 - 格点 · 物理学 2016-08-22 Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko , Jun-Ichi Noaki

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry caused by the fermion action. To this end we compare lattice configurations generated with a number of different…

高能物理 - 格点 · 物理学 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer

We discuss simulation strategies for the massless lattice Schwinger model with a topological term and finite chemical potential. The simulation is done in a dual representation where the complex action problem is solved and the partition…

高能物理 - 格点 · 物理学 2018-04-18 Daniel Göschl