scholarly journals Chiral lattice gauge theories from warped domain walls and Ginsparg-Wilson fermions

2006 ◽  
Author(s):  
Tanmoy Bhattacharya
Keyword(s):  
Gauge Theories ◽  
Domain Walls ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Wilson Fermions

scholarly journals CHIRAL LATTICE GAUGE THEORIES VIA MIRROR–FERMION DECOUPLING: A MISSION (IM)POSSIBLE?

2010 ◽  
Vol 25 (14) ◽  
pp. 2761-2813 ◽  
Author(s):  
ERICH POPPITZ ◽  
YANWEN SHANG
Keyword(s):  
Gauge Theories ◽  
Current Knowledge ◽  
Chiral Symmetries ◽  
Future Studies ◽  
Lattice Gauge ◽  
The Status ◽  
Lattice Gauge Theories ◽  
Wilson Fermions

This is a review of the status and outstanding issues in attempts to construct chiral lattice gauge theories by decoupling the mirror fermions from a vectorlike theory. In the first half, we explain why studying nonperturbative chiral gauge dynamics may be of interest, enumerate the problems that a lattice formulation of chiral gauge theories must overcome, and briefly review our current knowledge. We then discuss the motivation and idea of mirror–fermion decoupling and illustrate the desired features of the decoupling dynamics by a simple solvable toy model. The role of exact chiral symmetries and matching of 't Hooft anomalies on the lattice is also explained. The second, more technical, half of the paper is devoted to a discussion of the known and unknown features of mirror-decoupling dynamics formulated with Ginsparg–Wilson fermions. We end by pointing out possible directions for future studies.

scholarly journals On the chiral limit in lattice gauge theories with Wilson fermions

1997 ◽  
Vol 74 (3) ◽  
pp. 541-548 ◽  
Author(s):  
A. Hoferichter ◽  
V.K. Mitrjushkin ◽  
M. Müller-Preussker
Keyword(s):  
Gauge Theories ◽  
Chiral Limit ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Wilson Fermions

scholarly journals Quantum simulation of lattice gauge theories using Wilson fermions

2018 ◽  
Vol 3 (3) ◽  
pp. 034010 ◽  
Author(s):  
T V Zache ◽  
F Hebenstreit ◽  
F Jendrzejewski ◽  
M K Oberthaler ◽  
J Berges ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Quantum Simulation ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Wilson Fermions

Erratum to: “The three-loop β-function of SU(N) lattice gauge theories with Wilson fermions”

2001 ◽  
Vol 608 (1-2) ◽  
pp. 479-480 ◽  
Author(s):  
C. Christou ◽  
A. Feo ◽  
H. Panagopoulos ◽  
E. Vicari
Keyword(s):  
Gauge Theories ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Β Function ◽  
Wilson Fermions

scholarly journals High-order perturbative expansions in massless gauge theories with NSPT

2018 ◽  
Vol 175 ◽  
pp. 11023
Author(s):  
Luigi Del Debbio ◽  
Francesco Di Renzo ◽  
Gianluca Filaci
Keyword(s):  
Boundary Conditions ◽  
Gauge Theories ◽  
Zero Mode ◽  
Stochastic Perturbation ◽  
High Order ◽  
Fundamental Representation ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Twisted Boundary Conditions ◽  
Wilson Fermions

We investigate the possibility of using numerical stochastic perturbation theory (NSPT) to probe high orders in the perturbative expansion of lattice gauge theories with massless Wilson fermions. Twisted boundary conditions are used to regularise the gauge zero-mode; the extension of these boundary conditions to include fermions in the fundamental representation requires to introduce a smell degree of freedom. Moreover, the mass of Wilson fermions is affected by an additive renormalisation: we study how to determine the mass counterterms consistently in finite volume. The knowledge of the critical masses will enable high-order perturbative computations in massless QCD, e.g. (as a first application) for the plaquette.

scholarly journals The three-loop β-function of SU(N) lattice gauge theories with Wilson fermions

1998 ◽  
Vol 525 (1-2) ◽  
pp. 387-400 ◽  
Author(s):  
C. Christou ◽  
A. Feo ◽  
H. Panagopoulos ◽  
E. Vicari
Keyword(s):  
Gauge Theories ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Β Function ◽  
Wilson Fermions

scholarly journals $N_c =2$ lattice gauge theories with fundamental and adjoint Wilson fermions

2011 ◽  
Author(s):  
Hideo Matsufuru ◽  
Yoshio Kikukawa ◽  
Keiichi Nagai ◽  
Norikazu Yamada
Keyword(s):  
Gauge Theories ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Wilson Fermions
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