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Related papers: Domain-Wall Fermions at Strong Coupling

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Domain Wall Fermions utilize an extra space time dimension to provide a method for restoring the regularization induced chiral symmetry breaking in lattice vector gauge theories even at finite lattice spacing. The breaking is restored at an…

High Energy Physics - Lattice · Physics 2009-10-30 Pavlos M. Vranas

Dualities between quantum field theories have proven to be a powerful tool in various areas of physics. In this paper, we introduce a new perspective for obtaining strong coupling expansions based on a well-known technique -- the…

High Energy Physics - Lattice · Physics 2025-02-11 Nikita A. Ignatyuk , Daniel Skliannyi

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

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk…

High Energy Physics - Theory · Physics 2023-11-22 Mohamed M. Anber , Nakarin Lohitsiri , Tin Sulejmanpasic

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 investigate the effect of finite fermion density on symmetry breaking by Wilson loops in $(1+1)$ dimensions. We find the breaking and restoration of symmetry at finite density in the models with $SU(2)$ and $SU(3)$ gauge symmetries, in…

High Energy Physics - Theory · Physics 2018-01-08 Kiyoshi Shiraishi

We consider a Dirac field in 2+1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is…

High Energy Physics - Theory · Physics 2009-11-07 L. Da Rold , C. D. Fosco , A. Lopez

We investigate an original domain-wall model in 4+1 dimensions numerically in the presence of U(1) dynamical gauge field only in an extra dimension, corresponding to a weak coupling limit of 4-dimensional physical gauge coupling. Using a…

High Energy Physics - Lattice · Physics 2009-10-28 S. Aoki , K. Nagai

The Yukawa-Higgs/Ginsparg-Wilson-fermion construction of chiral lattice gauge theories described in hep-lat/0605003 uses exact lattice chirality to decouple the massless chiral fermions from a mirror sector, whose strong dynamics is…

High Energy Physics - Lattice · Physics 2008-11-26 Joel Giedt , Erich Poppitz

We present the first results of numerical simulations of a 2+1 dimensional fermion field theory based on a recent proposal for a model of graphene, consisting of N_f four-component Dirac fermions moving in the plane and interacting via an…

Strongly Correlated Electrons · Physics 2008-12-18 Simon Hands , Costas Strouthos

The dualities that map hard-to-solve, interacting theories to free, non-interacting ones often trigger a deeper understanding of the systems to which they apply. However, simplifying assumptions such as Lorentz invariance, low…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Adolfo G. Grushin , Giandomenico Palumbo

Wilson fermion (WF) is a fundamental particle in the theory of quantum chromodynamics, originally proposed by Kenneth Wilson to solve the fermion doubling problem, i.e., more fermions than expected when one puts fermionic fields on a…

Mesoscale and Nanoscale Physics · Physics 2023-01-19 Huanhuan Yang , Lingling Song , Yunshan Cao , Peng Yan

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…

High Energy Physics - Lattice · Physics 2012-12-21 Takashi Z. Nakano , Tatsuhiro Misumi , Taro Kimura , Akira Ohnishi

We describe an implementation of a deconstructed gauge theory with charged fermions defined on an interval in five dimensional AdS space. The four dimensional slices are Minkowski, and the end slices support four dimensional chiral zero…

High Energy Physics - Lattice · Physics 2009-09-17 Tanmoy Bhattacharya , Rajan Gupta , Matthew R. Martin , Yuri Shirman , Csaba Csaki , John Terning

We study the problem of decoupling fermion fields in 1+1 and 2+1 dimensions, in interaction with a gauge field, by performing local transformations of the fermions in the functional integral. This could always be done if singular (large)…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , F. A. Schaposnik

The Wilson formulation of fermions in lattice gauge theory provides a unified description of the chiral anomalies in the standard model. The discrete Dirac operator diagonalizes into a series of two by two blocks. In each block the possible…

High Energy Physics - Lattice · Physics 2026-04-22 Michael Creutz

I discretize axion string configuration coupled to a Dirac fermion, which in the continuum binds a massless chiral fermion in its core when the winding is one. I show that such a configuration can host one or more chiral fermions when…

High Energy Physics - Theory · Physics 2023-01-25 Srimoyee Sen

We study the strong-interaction dynamics of a class of $4D$ chiral $SU(N)$ gauge theories with a fermion in a symmetric second-rank tensor representation and a number of fermions in an anti-antisymmetric tensor representation, extending the…

High Energy Physics - Theory · Physics 2025-02-04 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio , Matteo Orso

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

The beta-shift induced from dynamical domain wall quarks leads to increased roughness of the gauge field, thus reversing the effect of smoothing from the gauge action improvement. By exploiting the relation of overlap and domain wall…

High Energy Physics - Lattice · Physics 2007-05-23 Alban Allkoci , Artan Borici