scholarly journals Large-N string tension from rectangular Wilson loops

2012 ◽  
Author(s):  
Robert Lohmayer ◽  
Herbert Neuberger
Keyword(s):  
String Tension ◽  
Wilson Loops ◽  
Large N

scholarly journals The string tension from smeared Wilson loops at large N

2013 ◽  
Vol 718 (4-5) ◽  
pp. 1524-1528 ◽  
Author(s):  
Antonio González-Arroyo ◽  
Masanori Okawa
Keyword(s):  
String Tension ◽  
Wilson Loops ◽  
Large N

scholarly journals Wilson loops in the Higgs phase of large N field theories on the conifold.

2000 ◽  
Vol 2000 (06) ◽  
pp. 027-027 ◽  
Author(s):  
Elena Cáceres ◽  
Rafael Hernández
Keyword(s):  
Field Theories ◽  
Wilson Loops ◽  
Large N

scholarly journals EVALUATION OF OBSERVABLES IN THE GAUSSIAN N=∞ KAZAKOV-MIGDAL MODEL

1994 ◽  
Vol 09 (29) ◽  
pp. 5033-5051 ◽  
Author(s):  
M.I. DOBROLIUBOV ◽  
G.W. SEMENOFF ◽  
N. WEISS ◽  
A. MOROZOV
Keyword(s):  
Phase Transition ◽  
Wilson Loops ◽  
Gaussian Potential ◽  
Large N ◽  
Explicit Formulae

In this paper, we examine the properties of observables in the Kazakov-Migdal model. We present explicit formulae for the leading asymptotics of adjoint Wilson loops as well as some other observables for the model with a Gaussian potential. We discuss the phase transition in the large N limit of the D=1 model. One of the appendices is devoted to discussion of the N=∞ Itzykson-Zuber integrals for arbitrary eigenvalue densities.

String tension for large-N gauge theory

1983 ◽  
Vol 133 (6) ◽  
pp. 415-418 ◽  
Author(s):  
A. Gonzalez-Arroyo ◽  
M. Okawa
Keyword(s):  
Gauge Theory ◽  
String Tension ◽  
Large N

scholarly journals Double-winding Wilson loops in SU(N) Yang-Mills theory – A criterion for testing the confinement models –

2018 ◽  
Vol 175 ◽  
pp. 12002
Author(s):  
Ryutaro Matsudo ◽  
Kei-Ichi Kondo ◽  
Akihiro Shibata
Keyword(s):  
Wilson Loop ◽  
String Tension ◽  
Wilson Loops ◽  
Two Dimensional ◽  
Fundamental Representation ◽  
Yang Mills ◽  
Operator Relation ◽  
Higher Dimensional ◽  
The Difference ◽  
Area Law

We examine how the average of double-winding Wilson loops depends on the number of color N in the SU(N) Yang-Mills theory. In the case where the two loops C1 and C2 are identical, we derive the exact operator relation which relates the doublewinding Wilson loop operator in the fundamental representation to that in the higher dimensional representations depending on N. By taking the average of the relation, we find that the difference-of-areas law for the area law falloff recently claimed for N = 2 is excluded for N ⩾ 3, provided that the string tension obeys the Casimir scaling for the higher representations. In the case where the two loops are distinct, we argue that the area law follows a novel law (N − 3)A1/(N − 1) + A2 with A1 and A2(A1 < A2) being the minimal areas spanned respectively by the loops C1 and C2, which is neither sum-ofareas (A1 + A2) nor difference-of-areas (A2 − A1) law when (N ⩾ 3). Indeed, this behavior can be confirmed in the two-dimensional SU(N) Yang-Mills theory exactly.

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.

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