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The partition function of two dimensional massless staggered fermions interacting with U(N) gauge fields is rewritten in terms of loop variables in the strong coupling limit. We use this representation of the theory to devise a non-local…

高能物理 - 格点 · 物理学 2009-11-07 Shailesh Chandrasekharan

We construct a new and efficient cluster algorithm for updating strongly coupled U(N) lattice gauge theories with staggered fermions in the chiral limit. The algorithm uses the constrained monomer-dimer representation of the theory and…

高能物理 - 格点 · 物理学 2009-11-10 David H. Adams , Shailesh Chandrasekharan

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…

高能物理 - 格点 · 物理学 2016-08-25 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

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…

高能物理 - 格点 · 物理学 2012-08-09 Tatsuhiro Misumi , Takashi Z. Nakano , Taro Kimura , Akira Ohnishi

The recent solution to the fermion sign problem allows, for the first time, the use of cluster algorithm techniques to compute certain fermionic path integrals. To illustrate the underlying ideas behind the progress, a cluster algorithm is…

高能物理 - 格点 · 物理学 2007-05-23 Shailesh Chandrasekharan

Cluster variables have recently revolutionized numerical work in certain models involving fermionic variables. This novel representation of fermionic partition functions is continuing to find new applications. After describing results from…

高能物理 - 格点 · 物理学 2007-05-23 Shailesh Chandrasekharan

A serious difficulty in conventional lattice field theory calculations is the coupling between the chiral and continuum limits. With both staggered and Wilson fermions, the chiral limit cannot be realized without first taking the limit of…

We study strong-coupling lattice QCD with staggered-Wilson fermions, with an emphasis on the possibility of spontaneous parity breaking. We perform effective potential analysis in the strong-coupling limit. From gap equations we find the…

高能物理 - 格点 · 物理学 2012-12-21 Takashi Z. Nakano , Tatsuhiro Misumi , Taro Kimura , Akira Ohnishi

The chiral Schwinger model is formulated in the wilson-fermion formulation on the lattice and then simulated by the complex langevin algorithm. The simulation is done both without and with gauge fixing to the Lorentz gauge for the compact…

高能物理 - 格点 · 物理学 2009-10-28 T. D. Kieu , P. S. Hawkins

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…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

We show that at sufficiently large chemical potential SU(N) lattice gauge theories in the strong coupling limit with staggered fermions are in a chirally symmetric phase. The proof employs a polymer cluster expansion which exploits the…

高能物理 - 格点 · 物理学 2015-06-15 E. T. Tomboulis

In the strong coupling limit, $n$-point functions in lattice QCD with staggered fermions can be rewritten exactly as sums over constrained configurations of monomers, dimers, and baryon loops covering the spacetime lattice. Worm algorithms…

高能物理 - 格点 · 物理学 2017-02-01 Philippe de Forcrand , Paul Romatschke , Wolfgang Unger , Helvio Vairinhos

We describe a proposal for constructing a lattice theory that we argue may be capable of yielding free Weyl fermions in the continuum limit. The model employs reduced staggered fermions and uses site parity dependent Yukawa interactions of…

高能物理 - 格点 · 物理学 2021-07-14 Simon Catterall

We examine a (3+1)-dimensional model of staggered lattice fermions with a four-fermion interaction and Z(2) chiral symmetry using the Hamiltonian formulation. This model cannot be simulated with standard fermion algorithms because those…

高能物理 - 格点 · 物理学 2009-10-31 S. Chandrasekharan , J. Cox , K. Holland , U. -J. Wiese

Based on an analytical technique using a unitary transformation and the variational method, we study the chiral order parameter in the Schwinger model in the lattice formalism with Kogut-Susskind fermions. The fermion condensate $\langle…

高能物理 - 格点 · 物理学 2016-09-01 Jen-Fa Min , Huei-Shih Liao

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. Motivated…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

We present the lattice formulation of effective Lagrangians in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework both the Wilson term removing unphysical doubler fermions and the fermion mass term do not…

高能物理 - 格点 · 物理学 2009-11-10 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

We investigate the critical behaviour of a three-dimensional lattice $\chiU\phi_3$ model in the chiral limit. The model consists of a staggered fermion field, a U(1) gauge field (with coupling parameter $\beta$) and a complex scalar field…

高能物理 - 格点 · 物理学 2009-10-31 I. M. Barbour , N. Psycharis , E. Focht , W. Franzki , J. Jersak

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 revisit the lattice formulation of the Schwinger model using the Kogut-Susskind Hamiltonian approach with staggered fermions. This model, introduced by Banks et al., contains the mass term $m_{\rm lat} \sum_{n} (-1)^{n} \chi^\dagger_n…

高能物理 - 理论 · 物理学 2023-02-09 Ross Dempsey , Igor R. Klebanov , Silviu S. Pufu , Bernardo Zan
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