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We study the chiral properties of quenched domain wall fermions with several gauge actions. We demonstrate that the nearly translationally invariant modes in the fifth dimension that dominate the residual mass for Wilson gauge action can be…

High Energy Physics - Lattice · Physics 2007-05-23 Konstantinos Orginos , RBC Collaboration

A new deterministic, numerical method to solve fermion field theories is presented. This approach is based on finding solutions $Z[J]$ to the lattice functional equations for field theories in the presence of an external source $J$. Using…

High Energy Physics - Theory · Physics 2009-10-28 John W. Lawson , G. S. Guralnik

The goal of this paper is to present a formalism that allows to handle four-fermion effective theories at finite temperature and density in curved space. The formalism is based on the use of the effective action and zeta function…

High Energy Physics - Theory · Physics 2015-03-17 Antonino Flachi , Takahiro Tanaka

After mentioning some of the difficulties arising in lattice gauge theory from chiral symmetry, I discuss one of the recent attempts to resolve these issues using fermionic surface states in an extra space-time dimension. This picture can…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

We study a concrete lattice regularization of a U(1) chiral gauge theory. We use Wilson fermions, and include a Lorentz gauge-fixing term and a gauge-boson mass counterterm. For a reduced version of the model, in which the gauge fields are…

High Energy Physics - Lattice · Physics 2009-10-30 Wolfgang Bock , Maarten Golterman , Yigal Shamir

We discuss models with a massless fermion and a self-interacting massive scalar field with the Yukawa interaction. The chiral condensate and the fermion mass are calculated analytically. It is shown that the models have a phase transition…

High Energy Physics - Theory · Physics 2015-06-04 V. G. Ksenzov , A. I. Romanov

According to the necessary requirements for a chirally symmetric Dirac operator, we present a systematic construction of such operators. We formulate a criterion for the hermitian operator which enters the construction such that the doubled…

High Energy Physics - Lattice · Physics 2011-02-16 Ting-Wai Chiu

Perturbation theory for lattice fermions with domain wall mass terms is developed and is applied to investigate the chiral Schwinger model formulated on the lattice by Kaplan's method. We calculate the effective action for gauge fields to…

High Energy Physics - Lattice · Physics 2009-10-22 S. Aoki , H. Hirose

We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

We present initial results comparing the RHMC and R algorithms on large lattices with small quark masses using chiral fermions. We also present results concerning staggered fermions near the deconfinement/chiral phase transition. We find…

High Energy Physics - Lattice · Physics 2007-05-23 M. A. Clark , Ph. de Forcrand , A. D. Kennedy

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…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

Rank-Ordered Multifractal Analysis (ROMA), a recently developed technique that combines the ideas of parametric rank ordering and one parameter scaling of monofractals, has the capabilities of deciphering the multifractal characteristics of…

Earth and Planetary Astrophysics · Physics 2014-11-20 Sunny W. Y. Tam , Tom Chang , Paul M. Kintner , Eric M. Klatt

We present the results of the quantum field theory approach to nuclear Yukawa model obtained by standard lattice techniques. We have considered the simplest case of two identical fermions interacting via a scalar meson exchange.…

High Energy Physics - Lattice · Physics 2015-05-27 F. de Soto , J. C. Angles d'Auriac , J. Carbonell

We show, using exact lattice chirality, that partition functions of lattice gauge theories with vectorlike fermion representations can be split into "light" and "mirror" parts, such that the "light" and "mirror" representations are chiral.…

High Energy Physics - Theory · Physics 2008-11-26 Erich Poppitz , Yanwen Shang

Lattice fermion actions are constructed with path integrals which are equivalent to the free one-flavour staggered fermion determinant. The Dirac operators used are local and have an identical spectrum of states to the staggered theory.…

High Energy Physics - Lattice · Physics 2007-05-23 Francesca Maresca , Mike Peardon

We present a Lagrangian formulation for the general modified chiral model. We use it to discuss the Hamiltonian formalism for this model and to derive the commutation relations for the chiral field. We look at some explicit examples and…

High Energy Physics - Theory · Physics 2009-10-31 Theodora Ioannidou , Wojtek Zakrzewski

Recently, Grabowska and Kaplan constructed a four-dimensional lattice formulation of chiral gauge theories on the basis of the chiral overlap operator. At least in the tree-level approximation, the left-handed fermion is coupled only to the…

High Energy Physics - Lattice · Physics 2017-10-03 Hiroki Makino , Okuto Morikawa , Hiroshi Suzuki

We present a new staggered discretization of the Dirac operator. In comparison with standard staggered fermions, real and imaginary parts are located in different nodes. Doubling gives only a doublet of Dirac fermions which we propose to…

High Energy Physics - Lattice · Physics 2007-05-23 I. Schmelzer

While it has been pointed out that the chiral symmetry, which is important for the Dirac fermions in graphene, can be generalized to tilted Dirac fermions as in organic metals, such a generalized symmetry was so far defined only for a…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 T. Kawarabayashi , H. Aoki , Y. Hatsugai

We construct the chiral effective Lagrangian for two lattice theories: one with Wilson fermions and the other with Wilson sea fermions and Ginsparg-Wilson valence fermions. For each of these theories we construct the Symanzik action through…

High Energy Physics - Lattice · Physics 2011-05-05 Oliver Baer , Gautam Rupak , Noam Shoresh