The relation between the Λ parameters of the standard and of the continuum limit improved lattice action for pure Yang-Mills theory

1983 ◽  
Vol 132 (4-6) ◽  
pp. 382-384 ◽  
Author(s):  
Werner Bernreuther ◽  
Werner Wetzel
Keyword(s):  
Continuum Limit ◽  
Lattice Action ◽  
Yang Mills ◽  
The Continuum

scholarly journals Large N scaling and factorization in SU(N) Yang-Mills theory

2018 ◽  
Vol 175 ◽  
pp. 11018 ◽  
Author(s):  
Miguel García Vera ◽  
Rainer Sommer
Keyword(s):  
Lattice Spacing ◽  
Continuum Limit ◽  
Finite Lattice ◽  
Gradient Flow ◽  
Scaling Up ◽  
Wilson Loops ◽  
Yang Mills ◽  
Large N ◽  
The Continuum

We present results for Wilson loops smoothed with the Yang-Mills gradient flow and matched through the scale t0. They provide renormalized and precise operators allowing to test the 1/N2 scaling both at finite lattice spacing and in the continuum limit. Our results show an excellent scaling up to 1/N = 1/3. Additionally, we obtain a very precise non-perturbative confirmation of factorization in the large N limit.

scholarly journals A STUDY OF GLUON PROPAGATOR ON COARSE LATTICE

2000 ◽  
Vol 15 (04) ◽  
pp. 229-244 ◽  
Author(s):  
J. P. MA
Keyword(s):  
Lattice Qcd ◽  
Smooth Function ◽  
Qualitative Agreement ◽  
Lattice Spacing ◽  
Continuum Limit ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Lattice Action ◽  
Lattice Volume ◽  
The Continuum

We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume from (2.40 fm )4 to (4.0 fm )4. We find that the rotation invariance is approximately restored in the q2-range, indicated by the fact that the propagator is a smooth function of the continuum momentum q2. We try to fit our results by two different ways, in the first one we interpret the calculated gluon propagators as a function of the continuum momentum, while in the second we interpret the propagators as a function of the lattice momentum. In both cases we use models which are the same in continuum limit. A qualitative agreement between two fittings is found.

MATRIX REGULARIZATION OF N = 4 SYM ON R × S3

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2199-2200 ◽  
Author(s):  
GORO ISHIKI
Keyword(s):  
Gauge Symmetry ◽  
Plane Wave ◽  
Regularization Method ◽  
Ward Identity ◽  
Continuum Limit ◽  
Beta Function ◽  
Yang Mills ◽  
Planar Limit ◽  
Matrix Regularization ◽  
The Continuum

We revealed a relationship between the plane wave matrix model (PWMM) and N =4 super Yang-Mills (SYM) theory on R × S3: N =4 SYM on R × S3 is equivalent to the theory around a certain vacuum of PWMM. It is suggested from this relation that N =4 SYM on R × S3 is regularized by PWMM in the planar limit. Because PWMM originally possesses the gauge symmetry and SU(2|4) symmetry, this regularization also preserves these symmetries. In order to check the validity of this matrix regularization method, we calculate the Ward identity and the beta function at the 1-loop level. We find that the Ward identity is satisfied and the beta function vanishes in the continuum limit. The former result is consistent with the gauge symmetry of PWMM. The latter suggests the possibility that the conformal symmety is restored in the continuum limit.

scholarly journals Improving the lattice action near the continuum limit

1982 ◽  
Vol 114 (4) ◽  
pp. 251-253 ◽  
Author(s):  
G. Martinelli ◽  
G. Parisi ◽  
R. Petronzio
Keyword(s):  
Continuum Limit ◽  
Lattice Action ◽  
The Continuum

scholarly journals Supermultiplets of the N=1 supersymmetric Yang-Mills theory in the continuum limit

2016 ◽  
Author(s):  
Pietro Giudice ◽  
Georg Bergner ◽  
Istvan Montvay ◽  
Gernot Münster ◽  
Stefano Piemonte
Keyword(s):  
Continuum Limit ◽  
Yang Mills ◽  
The Continuum

scholarly journals LATTICE FORMULATION OF SUPERSYMMETRIC YANG–MILLS THEORIES WITHOUT FINE TUNING

1998 ◽  
Vol 13 (16) ◽  
pp. 2841-2855 ◽  
Author(s):  
NOBUHITO MARU ◽  
JUN NISHIMURA
Keyword(s):  
Dimensional Reduction ◽  
Continuum Limit ◽  
Three Dimensions ◽  
Fine Tuning ◽  
Majorana Fermion ◽  
Dirac Fermion ◽  
Two Dimensional ◽  
Yang Mills ◽  
Gauge Anomaly ◽  
The Continuum

We consider an application of the overlap formalism to supersymmetric Yang–Mills theory in three dimensions. We extend the overlap formalism for 3D Dirac fermion to Majorana fermion and show that the parity invariance is exactly preserved, which ensures that the continuum limit is supersymmetric without fine tuning. For SU (N) gauge group, N must be taken to be even in order to make the theory free from global gauge anomaly. We also discuss how to obtain two-dimensional super Yang–Mills theory from the 3D theory through dimensional reduction on the lattice.

Sign in / Sign up

Export Citation Format

Share Document