scholarly journals Testing the AdS/CFT correspondence by Monte Carlo calculation of BPS and non-BPS Wilson loops in N=4 super-Yang-Mills theory

2012 ◽  
Author(s):  
Masazumi Honda ◽  
Goro Ishiki ◽  
Jun Nishimura ◽  
Asato Tsuchiya
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Calculation ◽  
Wilson Loops ◽  
Yang Mills ◽  
Super Yang Mills Theory

scholarly journals Exact 1/N expansion of Wilson loop correlators in $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Wolfgang Mück
Keyword(s):  
Matrix Model ◽  
Wilson Loop ◽  
Model Solution ◽  
Wilson Loops ◽  
Combinatorial Formula ◽  
Expectation Value ◽  
Yang Mills ◽  
Hooft Coupling ◽  
The Matrix ◽  
Super Yang Mills Theory

Abstract Supersymmetric circular Wilson loops in $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory are discussed starting from their Gaussian matrix model representations. Previous results on the generating functions of Wilson loops are reviewed and extended to the more general case of two different loop contours, which is needed to discuss coincident loops with opposite orientations. A combinatorial formula representing the connected correlators of multiply wound Wilson loops in terms of the matrix model solution is derived. Two new results are obtained on the expectation value of the circular Wilson loop, the expansion of which into a series in 1/N and to all orders in the ’t Hooft coupling λ was derived by Drukker and Gross about twenty years ago. The connected correlators of two multiply wound Wilson loops with arbitrary winding numbers are calculated as a series in 1/N. The coefficient functions are derived not only as power series in λ, but also to all orders in λ by expressing them in terms of the coefficients of the Drukker and Gross series. This provides an efficient way to calculate the 1/N series, which can probably be generalized to higher-point correlators.

scholarly journals Lattice study of area law for double-winding Wilson loops

2018 ◽  
Vol 175 ◽  
pp. 12010
Author(s):  
Akihiro Shibata ◽  
Seikou Kato ◽  
Kei-Ichi Kondo ◽  
Ryutaro Matsudo
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Strong Coupling Expansion ◽  
Wilson Loops ◽  
Yang Mills ◽  
Lattice Monte Carlo ◽  
Area Law

We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on the lattice. We discuss how the area law falloff of the double-winding Wilson loop average is modified by changing the enclosing contours C1 and C2 for various values of the number of color N. By using the strong coupling expansion, we evaluate the double-winding Wilson loop average in the lattice SU(N) Yang-Mills theory. Moreover, we compute the double-winding Wilson loop average by lattice Monte Carlo simulations for SU(2) and SU(3). We further discuss the results from the viewpoint of the Non-Abelian Stokes theorem in the higher representations.

scholarly journals Direct test of the AdS/CFT correspondence by Monte Carlo studies of $ \mathcal{N}=4 $ super Yang-Mills theory

2013 ◽  
Vol 2013 (11) ◽  
Author(s):  
Masazumi Honda ◽  
Goro Ishiki ◽  
Sang-Woo Kim ◽  
Jun Nishimura ◽  
Asato Tsuchiya
Keyword(s):  
Monte Carlo ◽  
Direct Test ◽  
Yang Mills ◽  
Monte Carlo Studies ◽  
Super Yang Mills Theory

scholarly journals LESS IS MORE: NONRENORMALIZATION THEOREMS FROM LOWER DIMENSIONAL SUPERSPACE

2005 ◽  
Vol 20 (19) ◽  
pp. 4546-4553 ◽  
Author(s):  
ZACHARY GURALNIK ◽  
STEFANO KOVACS ◽  
BOGDAN KULIK
Keyword(s):  
Wilson Loops ◽  
Expectation Values ◽  
Supersymmetry Algebra ◽  
Yang Mills ◽  
Less Is More ◽  
New Class ◽  
Chiral Ring ◽  
Lower Dimensional ◽  
Super Yang Mills Theory

We discuss a new class of non-renormalization theorems in [Formula: see text] and [Formula: see text] Super-Yang-Mills theory, obtained by using a superspace which makes a lower dimensional subgroup of the full supersymmetry manifest. Certain Wilson loops (and Wilson lines) belong to the chiral ring of the lower dimensional supersymmetry algebra, and their expectation values can be computed exactly.

scholarly journals Yangian symmetry of smooth Wilson loops in $ \mathcal{N}=4 $ super Yang-Mills theory

2013 ◽  
Vol 2013 (11) ◽  
Author(s):  
Dennis Müller ◽  
Hagen Münkler ◽  
Jan Plefka ◽  
Jonas Pollok ◽  
Konstantin Zarembo
Keyword(s):  
Wilson Loops ◽  
Yang Mills ◽  
Yangian Symmetry ◽  
Super Yang Mills Theory

scholarly journals Higher rank Wilson loops in N = 2∗ super-Yang-Mills theory

2015 ◽  
Vol 2015 (3) ◽  
Author(s):  
Xinyi Chen-Lin ◽  
Konstantin Zarembo
Keyword(s):  
Wilson Loops ◽  
Yang Mills ◽  
Higher Rank ◽  
Super Yang Mills Theory

Monte Carlo calculation of the energy parameters and spatial distribution of the cathodic arc ions while passing through the macro-particles filters

2018 ◽  
Vol 1 (1) ◽  
pp. 30-34 ◽  
Author(s):  
Alexey Chernogor ◽  
Igor Blinkov ◽  
Alexey Volkhonskiy
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Monte Carlo ◽  
Monte Carlo Calculation ◽  
Inhomogeneous Magnetic Field ◽  
Flow Energy ◽  
Wide Range ◽  
Field Concentrator ◽  
Cathodic Arc ◽  
The Magnetic Field

The flow, energy distribution and concentrations profiles of Ti ions in cathodic arc are studied by test particle Monte Carlo simulations with considering the mass transfer through the macro-particles filters with inhomogeneous magnetic field. The loss of ions due to their deposition on filter walls was calculated as a function of electric current and number of turns in the coil. The magnetic field concentrator that arises in the bending region of the filters leads to increase the loss of the ions component of cathodic arc. The ions loss up to 80 % of their energy resulted by the paired elastic collisions which correspond to the experimental results. The ion fluxes arriving at the surface of the substrates during planetary rotating of them opposite the evaporators mounted to each other at an angle of 120° characterized by the wide range of mutual overlapping.

The Granularity of Colour Materials: A Monte Carlo Calculation

1981 ◽  
Vol 29 (2) ◽  
pp. 61-64 ◽  
Author(s):  
P. J. Hillson ◽  
J. F. Reddington
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Calculation
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