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We derive the effective action of the light fermion field of the domain-wall fermion, which is referred as q(x) and \bar q(x) by Furman and Shamir. The inverse of the effective Dirac operator turns out to be identical to the inverse of the…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa

Flavor singlet and non-singlet axial Ward identities are investigated using the Wilson formulation of lattice QCD with Clover O(a)-improvement, which breaks explicitly chiral symmetry. The matching at one-loop order of all the relevant…

High Energy Physics - Lattice · Physics 2015-06-25 D. Guadagnoli , S. Simula

We still extend the large class of Dirac operators decribing massless fermions on the lattice found recently, only requiring that such operators decompose into Weyl operators. After deriving general relations and constructions of operators,…

High Energy Physics - Lattice · Physics 2014-11-17 Werner Kerler

We show that the 3450 U(1) chiral fermion theory can appear as the low energy effective field theory of a 1+1D local lattice model, with an on-site U(1) symmetry and finite-range interactions. The on-site U(1) symmetry means that the U(1)…

High Energy Physics - Lattice · Physics 2020-03-19 Juven Wang , Xiao-Gang Wen

The construction of massless Majorana fermions with chiral Yukawa couplings on the lattice is considered. We find topological obstructions tightly linked to those underlying the Nielsen-Ninomiya no-go theorem. In contradistinction to chiral…

High Energy Physics - Lattice · Physics 2009-08-11 Yuji Igarashi , Jan M. Pawlowski

Using N=1 Supersymmetric QCD (SQCD) as a prototype model, this work presents a formulation of overlap quarks and gluinos on the lattice, with particular emphasis on the construction of chirally symmetric Yukawa terms. By incorporating the…

High Energy Physics - Lattice · Physics 2025-07-23 Marios Costa , Eleni Ioannou , Haralambos Panagopoulos

We present results for one-loop perturbative matching factors using bilinear operators composed of improved staggered fermions, using unimproved (Wilson) and improved (Symanzik, Iwasaki, and DBW2) gluon actions. We consider two fermions…

High Energy Physics - Lattice · Physics 2012-01-25 Jongjeong Kim , Weonjong Lee , Stephen R. Sharpe

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 show that two recent independent proposals for regularizing a chiral gauge theory stem from one common trick. If the anomaly free complex representation carried by the right handed fermi--fields is $r$ one constructs a vector like theory…

High Energy Physics - Lattice · Physics 2009-10-22 Rajamani Narayanan , Herbert Neuberger

I review the substantial progress which has been made recently with the non-perturbative construction of chiral gauge theories on the lattice. In particular, I discuss three different approaches: a gauge invariant method using fermions…

High Energy Physics - Lattice · Physics 2009-10-31 Maarten Golterman

We consider the coupling of fermions to the three-dimensional noncommutative $CP^{N-1}$ model. In the case of minimal coupling, although the infrared behavior of the gauge sector is improved, there are dangerous (quadratic) infrared…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Asano , H. O. Girotti , M. Gomes , A. Yu. Petrov , A. G. Rodrigues , A. J. da Silva

We generalize overlap fermion by Narayanan and Neuberger by introducing a hopping parameter t. This lattice fermion has desirable properties as the original overlap fermion. We expand "Dirac" operator of this fermion in powers of t.…

High Energy Physics - Lattice · Physics 2009-10-31 Ikuo Ichinose , Keiichi Nagao

The one-loop fermionic contribution to the probability of an instanton transition with fermion number violation is calculated in the chiral Abelian Higgs model in 1+1 dimensions, where the fermions have a Yukawa coupling to the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-11 Y. Burnier , M. Shaposhnikov

The vacuum polarization due to chiral fermions on a 4--dimensional Euclidean lattice is calculated according to the overlap prescription. The fermions are coupled to weak and slowly varying background gauge and Higgs fields, and the…

High Energy Physics - Theory · Physics 2009-10-28 S. Randjbar--Daemi , J. Strathdee

In 4-D heterotic superstrings, the dilaton and antisymmetric tensor fields belong to a linear N=1 supersymmetric multiplet L. We study the lagrangian describing the coupling of one linear multiplet to chiral and gauge multiplets in global…

High Energy Physics - Theory · Physics 2009-10-28 J. -P. Derendinger , F. Quevedo , M. Quiros

We obtain constraints on possible anomalous interactions of the top quark with the electroweak vector bosons arising from the precision measurements at the Z pole. In the framework of $SU(2)_L \otimes U(1)_Y$ chiral Lagrangians, we examine…

High Energy Physics - Phenomenology · Physics 2009-10-30 O. J. P. Eboli , M. C. Gonzalez-Garcia , S. F. Novaes

We present new formulas for one-loop ambitwistor-string correlators for gauge theories in any even dimension with arbitrary combinations of gauge bosons, fermions and scalars running in the loop. Our results are driven by new…

High Energy Physics - Theory · Physics 2020-09-15 Alex Edison , Song He , Oliver Schlotterer , Fei Teng

We derive a universal formula for the one-loop renormalization of the effective K\"ahler potential that applies to general supersymmetric effective field theories of chiral multiplets, with arbitrary interactions respecting N=1…

High Energy Physics - Theory · Physics 2012-05-17 Raphael Flauger , Simeon Hellerman , Cornelius Schmidt-Colinet , Matthew Sudano

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…

High Energy Physics - Lattice · Physics 2009-11-10 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

We outline a proposal, based on the Heat-Kernel method, to compute 1PI effective action up to any loop order for quantum field theory with scalar and fermion fields. We algebraically extract the divergences associated with the composite…

High Energy Physics - Theory · Physics 2024-04-04 Upalaparna Banerjee , Joydeep Chakrabortty , Kaanapuli Ramkumar