scholarly journals N=4supersymmetric Yang-Mills theory onS3in the plane wave matrix model at finite temperature

2009 ◽  
Vol 79 (6) ◽  
Author(s):  
Yoshihisa Kitazawa ◽  
Koichiro Matsumoto
Keyword(s):  
Plane Wave ◽  
Matrix Model ◽  
Finite Temperature ◽  
Yang Mills

scholarly journals N=4super Yang-Mills theory from the plane wave matrix model

2008 ◽  
Vol 78 (10) ◽  
Author(s):  
Takaaki Ishii ◽  
Goro Ishiki ◽  
Shinji Shimasaki ◽  
Asato Tsuchiya
Keyword(s):  
Plane Wave ◽  
Matrix Model ◽  
Yang Mills

scholarly journals Dynamical aspects of the plane-wave matrix model at finite temperature

2006 ◽  
Vol 2006 (06) ◽  
pp. 052-052 ◽  
Author(s):  
Naoyuki Kawahara ◽  
Jun Nishimura ◽  
Kentaroh Yoshida
Keyword(s):  
Plane Wave ◽  
Matrix Model ◽  
Finite Temperature

scholarly journals BOUNCES/DYONS IN THE PLANE WAVE MATRIX MODEL AND SU(N) YANG–MILLS THEORY

2009 ◽  
Vol 24 (05) ◽  
pp. 349-359 ◽  
Author(s):  
ALEXANDER D. POPOV
Keyword(s):  
Plane Wave ◽  
Matrix Model ◽  
Gauge Fields ◽  
Field Tensor ◽  
Flux Tubes ◽  
Yang Mills ◽  
Electric And Magnetic Fields ◽  
Inverse Radius ◽  
Minkowski Signature ◽  
Double Well Potential

We consider SU (N) Yang–Mills theory on the space ℝ × S3 with Minkowski signature (-+++). The condition of SO(4)-invariance imposed on gauge fields yields a bosonic matrix model which is a consistent truncation of the plane wave matrix model. For matrices parametrized by a scalar ϕ, the Yang–Mills equations are reduced to the equation of a particle moving in the double-well potential. The classical solution is a bounce, i.e. a particle which begins at the saddle point ϕ = 0 of the potential, bounces off the potential wall and returns to ϕ = 0. The gauge field tensor components parametrized by ϕ are smooth and for finite time, both electric and magnetic fields are nonvanishing. The energy density of this non-Abelian dyon configuration does not depend on coordinates of ℝ × S3 and the total energy is proportional to the inverse radius of S3. We also describe similar bounce dyon solutions in SU (N) Yang–Mills theory on the space ℝ × S2 with signature (-++). Their energy is proportional to the square of the inverse radius of S2. From the viewpoint of Yang–Mills theory on ℝ1,1 × S2 these solutions describe non-Abelian (dyonic) flux tubes extended along the x3-axis.

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 On topological recursion for Wilson loops in $$ \mathcal{N} $$ = 4 SYM at strong coupling

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
M. Beccaria ◽  
A. Hasan
Keyword(s):  
Strong Coupling ◽  
Matrix Model ◽  
Wilson Loops ◽  
Expectation Value ◽  
Yang Mills ◽  
Usual Procedure ◽  
Topological Recursion ◽  
Sample Application ◽  
Single Trace ◽  
Genus Expansion

Abstract We consider U(N) $$ \mathcal{N} $$ N = 4 super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $$ \frac{1}{2} $$ 1 2 -BPS Wilson loop. Our approach is based on a suitable saddle point treatment of the Eynard-Orantin topological recursion in the Gaussian matrix model. Working directly at strong coupling we avoid the usual procedure of first computing observables at finite planar coupling λ, order by order in 1/N, and then taking the λ ≫ 1 limit. In the proposed approach, matrix model multi-point resolvents take a simplified form and some structures of the genus expansion, hardly visible at low order, may be identified and rigorously proved. As a sample application, we consider the expectation value of multiple coincident circular supersymmetric Wilson loops as well as their correlator with single trace chiral operators. For these quantities we provide novel results about the structure of their genus expansion at large tension, generalising recent results in arXiv:2011.02885.

scholarly journals Quantum chaos in the Yang-Mills-Higgs system at finite temperature

2005 ◽  
Vol 42 (2) ◽  
pp. 183-190 ◽  
Author(s):  
D. U. Matrasulov ◽  
F. C. Khanna ◽  
U. R. Salomov ◽  
A. E. Santana
Keyword(s):  
Finite Temperature ◽  
Quantum Chaos ◽  
Yang Mills

scholarly journals Thermal phase transition in Yang-Mills matrix model

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Georg Bergner ◽  
Norbert Bodendorfer ◽  
Masanori Hanada ◽  
Enrico Rinaldi ◽  
Andreas Schäfer ◽  
...  
Keyword(s):  
Phase Transition ◽  
Matrix Model ◽  
Yang Mills ◽  
Thermal Phase Transition ◽  
Thermal Phase

scholarly journals Fully Quantum String Representation of a Wilson Loop in the Finite-Temperature 3D Yang–Mills Theory

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 688
Author(s):  
Dmitry Antonov
Keyword(s):  
Critical Temperature ◽  
Finite Temperature ◽  
Wilson Loop ◽  
Conformal Anomaly ◽  
Yang Mills ◽  
Quantum Description ◽  
String Representation ◽  
Confinement Phase

We demonstrate the emergence of the Polchinski–Strominger term in the string representation of a Wilson loop in the confinement phase of the finite-temperature 3D Yang–Mills theory. At a temperature which is roughly twice smaller than the deconfinement critical temperature, the value of the coupling of that term becomes such that the string conformal anomaly cancels out, thereby admitting a fully quantum description of the quark–antiquark string in 3D rather than 26D.

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