scholarly journals Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling

2008 ◽  
Vol 2008 (05) ◽  
pp. 064-064 ◽  
Author(s):  
M Kruczenski ◽  
A Tirziu
Keyword(s):  
Strong Coupling ◽  
Wilson Loop ◽  
Open String ◽  
String Solution

ASYMPTOTIC AdS STRING SOLUTIONS FOR NULL POLYGONAL WILSON LOOPS IN R1,2

2010 ◽  
Vol 25 (30) ◽  
pp. 2555-2569 ◽  
Author(s):  
SHIJONG RYANG
Keyword(s):  
Asymptotic Behavior ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Scattering Amplitude ◽  
Wilson Loops ◽  
String Solution ◽  
Reality Condition ◽  
Linear Problems ◽  
Two Parameters

For the asymptotic string solution in AdS3 which is represented by the AdS3 Poincaré coordinates and yields the planar multi-gluon scattering amplitude at strong coupling in arXiv:0904.0663, we express it by the AdS4 Poincaré coordinates and demonstrate that the hexagonal and octagonal Wilson loops surrounding the string surfaces take closed contours consisting of null vectors in R1,2 owing to the relations of Stokes matrices. For the tetragonal Wilson loop we construct a string solution characterized by two parameters by solving the auxiliary linear problems and demanding a reality condition, and analyze the asymptotic behavior of the solution in R1,2. The freedoms of two parameters are related with some conformal SO(2,4) transformations.

TOPOLOGY OF THE GRASSMANNIAN σ MODEL ON A LATTICE

1987 ◽  
Vol 02 (08) ◽  
pp. 601-608 ◽  
Author(s):  
T. FUKAI ◽  
M. V. ATRE
Keyword(s):  
Partition Function ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Strong Coupling Limit ◽  
Topological Term

The Grassmannian σ model with a topological term is studied on a lattice. The θ dependence of the partition function and the Wilson loop are evaluated in the strong coupling limit. The latter is shown to be independent of the area at θ = π, as in the CPN−1 model.

FRACTAL WILSON LOOP IN U(1) LATTICE GAUGE THEORY

1993 ◽  
Vol 08 (05) ◽  
pp. 445-457
Author(s):  
H. KRÖGER ◽  
S. LANTAGNE ◽  
K.J.M. MORIARTY
Keyword(s):  
Gauge Theory ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Lattice Gauge Theory ◽  
Strong Coupling Regime ◽  
Lattice Gauge ◽  
Area Law

Recently, a fractal Wilson loop <FP> has been suggested to yield for non-compact SU(2) gauge theory an area law in the strong-coupling regime, while the standard Wilson loop <WP> yields a perimeter law. Here we consider non-compact U(1) gauge theory, compute the fractal Wilson loop analytically, and obtain a perimeter law for all coupling. We find that <FP> and <WP> coincide.

scholarly journals WILSON LOOPS IN OPEN STRING THEORY

1988 ◽  
Vol 03 (03) ◽  
pp. 283-287 ◽  
Author(s):  
KIYOSHI SHIRAISHI
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Symmetry Breaking ◽  
Path Integral ◽  
Wilson Loop ◽  
Mass Spectra ◽  
Open String ◽  
Wilson Loops ◽  
Open Strings ◽  
Correct Weight

Wilson loop elements on torus are introduced into the partition function of open strings as Polyakov’s path integral at one-loop level. Mass spectra from compactification and expected symmetry breaking are illustrated by choosing the correct weight for the contributions from annulus and Möbius strip. We show that Jacobi’s imaginary transformation connects the mass spectra with the Wilson loops. The application to thermopartition function and cosmological implications are briefly discussed.

scholarly journals Wilson loops in $$ \mathcal{N} $$ = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Simone Giombi ◽  
Bendeguz Offertaler
Keyword(s):  
String Theory ◽  
Gauge Group ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Spinor Representation ◽  
Classical Action ◽  
Expectation Value ◽  
Yang Mills ◽  
Coupling Behavior ◽  
Type Iib String Theory

Abstract We study the half-BPS circular Wilson loop in $$ \mathcal{N} $$ N = 4 super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of SO(N). We focus on the large N limit and present some simple quantitative tests of the duality with type IIB string theory in AdS5× ℝℙ5. In particular, we show that the strong coupling limit of the expectation value of the Wilson loop in the spinor representation of the gauge group precisely matches the classical action of the dual string theory object, which is expected to be a D5-brane wrapping a ℝℙ4 subspace of ℝℙ5. We also briefly discuss the large N, large λ limits of the SO(N) Wilson loop in the symmetric/antisymmetric representations and their D3/D5-brane duals. Finally, we use the D5-brane description to extract the leading strong coupling behavior of the “bremsstrahlung function” associated to a spinor probe charge, or equivalently the normalization of the two-point function of the displacement operator on the spinor Wilson loop, and obtain agreement with the localization prediction.

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 WILSON LOOP ON A SPHERE

1994 ◽  
Vol 09 (04) ◽  
pp. 365-374 ◽  
Author(s):  
D.V. BOULATOV
Keyword(s):  
Saddle Point ◽  
Strong Coupling ◽  
Wilson Loop ◽  
Coupling Phase ◽  
Phase Solution

We give the formula for a simple Wilson loop on a sphere which is valid for an arbitrary QCD2 saddle point [Formula: see text]. The strong coupling phase solution is investigated.

scholarly journals GAUGE FIELDS ON TORUS AND PARTITION FUNCTION OF STRINGS

1989 ◽  
Vol 04 (02) ◽  
pp. 389-400 ◽  
Author(s):  
A. NAKAMURA ◽  
K. SHIRAISHI
Keyword(s):  
Partition Function ◽  
Wilson Loop ◽  
Open String ◽  
Closed String ◽  
Point Of View ◽  
Gauge Fields ◽  
Partition Functions ◽  
Zero Modes ◽  
Background Fields ◽  
String Theories

In this paper we consider the interrelation between compactified string theories on torus and gauge fields on it. We start from open string theories with background gauge fields and derive partition functions by path integral. Since the effects of background fields and compactification correlate only through string zero modes, we investigate these zero modes. From this point of view, we discuss the Wilson loop mechanism at finite temperature. For the closed string, only a few comments are mentioned.

scholarly journals Wilson loop correlators at strong coupling: from matrices to bubbling geometries

2008 ◽  
Vol 2008 (08) ◽  
pp. 068-068 ◽  
Author(s):  
Jaume Gomis ◽  
Shunji Matsuura ◽  
Takuya Okuda ◽  
Diego Trancanelli
Keyword(s):  
Strong Coupling ◽  
Wilson Loop
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